Datasets:
SmallDoge
/
decay_dataset_processed

Dataset card Data Studio Files
xet
Community
1
Search is not available for this dataset
input_ids
sequencelengths
1
2.05k
attention_mask
sequencelengths
1
2.05k
[ 2085, 621, 568, 1134, 4502, 519, 942, 547, 8495, 782, 519, 3681, 538, 9972, 1416, 269, 1411, 610, 707, 3237, 786, 2661, 513, 1454, 811, 11791, 9972, 1272, 609, 948, 689, 1866, 1421, 855, 789, 949, 711, 917, 875, 547, 798, 602, 269, 24664, 1176, 267, 519, 1739, 2376, 814, 930, 1390, 1344, 547, 948, 596, 1205, 3323, 269, 3767, 2322, 1018, 596, 723, 1224, 538, 713, 2376, 547, 946, 269, 0, 9213, 538, 3778, 281, 25792, 17510, 1485, 540, 19291, 30463, 454, 4002, 713, 1554, 540, 476, 8687, 278, 267, 19291, 30463, 267, 20552, 626, 543, 610, 1807, 729, 4535, 883, 8474, 563, 3891, 12349, 1010, 5191, 538, 476, 7277, 276, 543, 4682, 593, 547, 1831, 519, 6574, 20552, 626, 540, 1010, 942, 563, 5475, 29400, 689, 8474, 267, 646, 2968, 513, 6205, 540, 519, 20552, 626, 3350, 267, 11543, 4063, 585, 1010, 546, 9579, 1782, 610, 2218, 543, 1651, 529, 633, 24431, 18561, 1603, 563, 3891, 11542, 607, 513, 2713, 4831, 7721, 2217, 547, 10553, 6868, 685, 7440, 602, 10437, 1705, 711, 723, 519, 7214, 4390, 547, 1599, 607, 4830, 1977, 4961, 269, 0, 3080, 1259, 2344, 619, 666, 3914, 856, 547, 6800, 267, 543, 1174, 741, 2219, 1184, 568, 998, 1018, 568, 1572, 606, 6568, 4786, 269, 1323, 6568, 4786, 568, 513, 2185, 1900, 1184, 269, 634, 1101, 1900, 568, 998, 6998, 2055, 602, 519, 7082, 1131, 581, 3206, 538, 741, 15295, 269, 634, 2034, 1900, 568, 547, 4766, 519, 4606, 602, 519, 7082, 949, 581, 2348, 269, 634, 3791, 1900, 568, 547, 1589, 827, 1018, 519, 7082, 1131, 2161, 538, 741, 3510, 269, 634, 3803, 1900, 568, 547, 4952, 1018, 519, 7082, 786, 2119, 547, 798, 1759, 593, 519, 824, 1614, 3268, 269, 901, 4786, 568, 865, 6725, 6887, 666, 2322, 2933, 538, 741, 3077, 22097, 10887, 269, 5680, 24630, 616, 849, 513, 1360, 1271, 1259, 547, 1174, 6800, 269, 1358, 1397, 519, 6208, 602, 1004, 723, 2228, 585, 1142, 3896, 269, 2290, 1880, 1106, 540, 891, 12642, 568, 16762, 12642, 799, 2337, 2344, 619, 4137, 856, 1018, 8905, 6800, 616, 593, 269, 901, 3096, 519, 1344, 10356, 689, 824, 12642, 267, 543, 1287, 5932, 1114, 11236, 540, 1018, 1004, 786, 798, 865, 602, 3549, 666, 2054, 1125, 593, 1018, 547, 798, 1985, 267, 2687, 547, 519, 9082, 3466, 563, 8777, 1771, 609, 519, 1514, 1357, 1797, 602, 5561, 543, 8639, 616, 3742, 5171, 2864, 982, 12809, 13588, 269, 1323, 1383, 540, 891, 616, 7082, 14223, 2516, 543, 2516, 602, 10404, 1125, 3549, 630, 324, 3052, 1421, 25211, 2516, 610, 14223, 3906, 1040, 4317, 2923, 946, 538, 513, 1870, 610, 2797, 2796, 2636, 782, 6800, 11305, 527, 714, 839, 547, 2769, 543, 2671, 606, 6644, 827, 513, 2754, 781, 2472, 267, 2533, 267, 1870, 2853, 267, 610, 513, 2229, 781, 3527, 269, 3962, 10283, 6075, 267, 1875, 2275, 2396, 518, 267, 610, 12504, 945, 568, 10283, 2228, 3842, 1514, 2923, 3587, 513, 851, 540, 519, 6725, 8257, 630, 528, 513, 4161, 547, 519, 6725, 4674, 1040, 24641, 607, 824, 5561, 1224, 741, 2318, 610, 2942, 8292, 610, 8039, 269, 15775, 6800, 267, 1761, 6800, 610, 4961, 547, 581, 7722, 2228, 568, 4909, 547, 3811, 1514, 2923, 6725, 269, 2060, 519, 4417, 540, 1514, 2923, 6725, 267, 621, 814, 1831, 5051, 1271, 547, 2744, 6075, 1719, 538, 2472, 543, 2533, 269, 901, 666, 5555, 581, 12261, 883, 9140, 2623, 267, 610, 13359, 543, 1810, 908, 2623, 538, 513, 2797, 2796, 269, 1715, 2228, 6725, 2035, 540, 6278, 543, 14017, 723, 7153, 799, 2832, 547, 1628, 6075, 7589, 543, 6216, 10639, 563, 288, 4640, 602, 568, 5532, 883, 519, 7145, 540, 3059, 6725, 568, 1543, 6725, 269, 12474, 6725, 666, 581, 13713, 4330, 607, 834, 23437, 1853, 532, 519, 1543, 602, 707, 5304, 568, 5275, 538, 519, 4025, 602, 789, 616, 10478, 585, 621, 2668, 898, 568, 1336, 602, 1543, 6725, 568, 3810, 1459, 538, 3059, 6725, 543, 3587, 3810, 3811, 950, 1543, 6725, 568, 3238, 269, 901, 568, 1813, 547, 1543, 6725, 1818, 707, 6216, 811, 4143, 547, 519, 3077, 6800, 267, 607, 1134, 607, 811, 7298, 547, 519, 3077, 7082, 563, 5331, 602, 596, 4312, 2813, 519, 17046, 5680, 3135, 593, 513, 1641, 4534, 649, 3513, 946, 6607, 323, 1516, 607, 606, 1383, 269, 2659, 3135, 568, 865, 1007, 602, 621, 781, 711, 1256, 7396, 593, 1022, 590, 2207, 11679, 2943, 267, 865, 707, 1101, 1900, 568, 547, 10505, 707, 3135, 547, 3406, 9817, 899, 5616, 543, 23968, 5622, 269, 634, 5680, 3817, 593, 707, 6607, 323, 1516, 3135, 1331, 3730, 1344, 267, 3078, 11147, 543, 5363, 6402, 13057, 8436, 547, 824, 2200, 269, 4634, 609, 519, 1655, 1344, 827, 6607, 323, 1516, 593, 519, 5680, 267, 707, 3135, 949, 711, 11523, 519, 1283, 2985, 540, 2164, 593, 2101, 3406, 9817, 269, 1879, 1004, 3406, 585, 519, 2165, 834, 20391, 323, 1516, 2437, 789, 1223, 1439, 909, 2469, 547, 17071, 5680, 4609, 1317, 16523, 3884, 1405, 538, 519, 1283, 2164, 269, 0, 293, 12294, 2701, 779, 513, 6153, 21756, 700, 7174, 4173, 631, 4821, 700, 7174, 4906, 543, 3013, 18320, 1744, 7398, 256, 594, 1224, 713, 543, 1336, 621, 1360, 4277, 269, 9502, 540, 513, 11831, 611, 256, 589, 3440, 611, 568, 513, 2239, 6648, 602, 8385, 729, 1305, 547, 2575, 269, 11831, 6758, 941, 1101, 2813, 538, 10120, 5333, 267, 543, 519, 2262, 3440, 611, 2501, 689, 519, 3943, 2165, 669, 753, 517, 3440, 611, 19902, 267, 799, 1797, 968, 323, 3496, 5152, 1848, 11831, 6758, 1287, 2968, 2442, 538, 4279, 6628, 543, 7283, 865, 2394, 519, 13524, 2540, 269, 634, 2495, 814, 4957, 10169, 538, 519, 1459, 1554, 547, 3277, 547, 1022, 3500, 2648, 5152, 563, 2026, 3440, 6758, 941, 8385, 5921, 547, 581, 18405, 1305, 547, 15472, 2575, 267, 972, 568, 513, 18476, 7574, 2298, 547, 519, 11733, 540, 519, 3515, 269, 27003, 2701, 779, 513, 6153, 21756, 700, 7174, 4173, 631, 4821, 700, 7174, 4906, 543, 3013, 18320, 1744, 7398, 256, 634, 6093, 3440, 611, 11281, 729, 606, 3124, 566, 1063, 3515, 538, 1775, 3711, 545, 15067, 1090, 2678, 543, 1775, 3711, 545, 959, 9014, 269, 11831, 6758, 941, 3622, 2854, 538, 844, 21358, 1231, 609, 513, 2834, 22565, 10325, 540, 13235, 289, 269, 1717, 267, 972, 941, 1082, 1114, 7648, 593, 519, 11281, 543, 22565, 540, 2757, 3440, 6758, 4470, 593, 741, 10923, 5169, 563, 763, 1292, 4183, 538, 782, 3440, 6758, 729, 741, 2239, 2497, 543, 17279, 540, 1978, 3515, 610, 1256, 2898, 588, 11961, 553, 269, 5871, 6201, 540, 11831, 611, 543, 519, 27003, 2701, 779, 513, 6153, 21756, 700, 7174, 4173, 631, 4821, 700, 7174, 4906, 543, 3013, 18320, 1744, 7398, 269, 1703, 616, 1896, 8964, 1869, 2442, 2221, 602, 723, 1044, 5293, 1524, 998, 519, 5481, 602, 3514, 519, 4214, 540, 513, 3440, 611, 269, 1280, 1383, 267, 519, 1739, 3515, 2097, 689, 519, 1360, 2442, 9721, 3440, 611, 667, 15967, 15196, 256, 0, 1432, 781, 519, 3017, 1063, 834, 325, 516, 4520, 257, 543, 834, 12221, 1068, 344, 257, 888, 268, 476, 272, 8717, 3516, 293, 2948, 924, 8382, 454, 529, 333, 1405, 621, 6654, 602, 741, 3017, 568, 741, 10259, 286, 646, 515, 515, 267, 1775, 6415, 1175, 3843, 547, 1118, 596, 14902, 563, 268, 476, 277, 1296, 3516, 454, 299, 756, 1068, 344, 268, 634, 2702, 547, 581, 2111, 547, 798, 519, 4376, 267, 1318, 610, 4636, 269, 23068, 568, 3908, 676, 3652, 563, 26466, 4520, 814, 547, 798, 609, 2924, 269, 15213, 568, 3808, 676, 2924, 2529, 1830, 4433, 2567, 5824, 5678, 454, 268, 18281, 631, 1563, 344, 9536, 299, 341, 476, 6078, 8717, 3516, 454, 31628, 21154, 267, 9039, 267, 789, 1175, 2097, 689, 476, 273, 1114, 5072, 269, 15213, 2501, 689, 2025, 2296, 2605, 2946, 617, 6759, 332, 267, 689, 519, 17454, 29509, 27272, 11031, 630, 10594, 3373, 621, 1223, 723, 1044, 1945, 899, 1412, 325, 686, 329, 611, 5448, 3299, 855, 540, 1576, 1100, 835, 2731, 6487, 585, 2386, 1070, 1141, 607, 23068, 568, 3838, 609, 3943, 19115, 2946, 630, 6518, 594, 1095, 2541, 2501, 689, 519, 5824, 1893, 1040, 1358, 9247, 1611, 519, 1482, 3364, 267, 543, 3976, 616, 19655, 267, 855, 547, 1114, 1004, 789, 3006, 3100, 1360, 1114, 630, 324, 3052, 269, 835, 1522, 1589, 1412, 325, 516, 4520, 262, 1797, 602, 2576, 270, 2251, 814, 1152, 1175, 1831, 1863, 267, 1247, 835, 1522, 1589, 1412, 12221, 1068, 344, 262, 568, 811, 2489, 267, 552, 3052, 269, 1412, 5978, 2197, 8255, 593, 519, 13210, 540, 23068, 543, 25734, 262, 1040, 16593, 713, 2337, 256, 13126, 4433, 2567, 1401, 4436, 22077, 3402, 2875, 267, 8059, 7469, 850, 269, 6478, 5072, 593, 530, 1731, 5406, 776, 3820, 563, 268, 476, 276, 1296, 3516, 454, 9767, 949, 723, 519, 15698, 630, 641, 1636, 29774, 267, 2702, 264, 547, 1900, 593, 930, 2158, 262, 19462, 855, 596, 1810, 1405, 723, 519, 5191, 630, 11004, 616, 3652, 543, 7687, 1916, 4692, 1405, 3247, 835, 689, 3206, 827, 1945, 267, 855, 786, 3247, 689, 3257, 519, 3364, 596, 1589, 827, 563, 268, 1215, 798, 596, 1589, 827, 519, 4267, 286, 1411, 666, 1129, 538, 547, 8917, 519, 2626, 563, 268, 32088, 276, 1296, 3516, 454, 7617, 835, 1058, 581, 946, 267, 1403, 594, 3277, 547, 621, 607, 513, 1871, 11631, 23068, 610, 15213, 454, 268, 32088, 272, 8717, 3516, 454, 296, 3494, 972, 568, 513, 4909, 3017, 267, 711, 538, 519, 10409, 1686, 540, 519, 1767, 2474, 630, 1993, 1576, 972, 568, 835, 1070, 855, 538, 519, 2413, 1977, 21055, 2495, 4433, 1916, 299, 756, 1068, 344, 1532, 553, 1227, 519, 2702, 547, 581, 2111, 547, 798, 519, 1318, 3364, 267, 607, 835, 6544, 1161, 519, 1318, 3364, 270, 9146, 547, 11654, 270, 704, 845, 563, 26466, 4520, 2914, 749, 267, 513, 2603, 1934, 2731, 269, 594, 1589, 538, 2489, 267, 621, 9364, 581, 519, 9000, 540, 7496, 950, 4058, 543, 7900, 8726, 621, 568, 835, 16858, 547, 798, 563, 302, 1553, 6053, 281, 15698, 268, 272, 281, 519, 2298, 610, 1533, 540, 1373, 1863, 281, 513, 281, 519, 1379, 547, 798, 607, 835, 5418, 1162, 536, 281, 5191, 689, 2168, 27047, 842, 524, 281, 5191, 689, 17062, 610, 16339, 5328, 1852, 546, 281, 519, 2318, 18399, 540, 1585, 1514, 267, 2797, 267, 610, 2804, 2924, 543, 22864, 552, 281, 519, 1379, 540, 3903, 454, 325, 516, 4520, 268, 272, 281, 519, 2298, 610, 1533, 540, 1373, 1863, 281, 607, 513, 281, 519, 9000, 540, 13766, 267, 28170, 542, 267, 610, 23061, 538, 3903, 610, 2962, 536, 281, 19802, 689, 8474, 610, 27047, 842, 610, 689, 519, 1379, 540, 1776, 2433, 7115, 524, 281, 519, 2298, 610, 1533, 540, 1373, 23614, 610, 5950, 2356, 689, 1945, 593, 2730, 2999, 325, 516, 4520, 689, 1416, 285, 546, 281, 8897, 267, 9744, 2999, 4944, 5803, 519, 1893, 609, 5191, 285, 552, 281, 519, 2298, 540, 1373, 18367, 267, 1930, 267, 610, 856, 4944, 7505, 2999, 753, 26833, 609, 5191, 285, 535, 281, 16789, 23440, 575, 281, 12050, 1145, 540, 17748, 610, 11056, 554, 281, 19727, 24071, 946, 2999, 326, 1511, 1864, 519, 5191, 540, 741, 1753, 285, 13126, 4433, 2567, 2725, 543, 519, 24448, 8675, 454, 268, 595, 2106, 628, 807, 700, 312, 299, 341, 476, 10170, 8717, 3516, 454, 299, 29368, 12224, 312, 910, 10902, 454, 14240, 281, 634, 1533, 540, 711, 1373, 538, 30693, 610, 1425, 3363, 563, 26239, 11618, 281, 31414, 267, 5191, 267, 19802, 267, 812, 636, 2153, 454, 293, 3918, 3633, 6865, 910, 10902, 454, 14240, 281, 634, 2783, 540, 1373, 20833, 1863, 563, 26239, 11618, 281, 13190, 267, 7115, 267, 3242, 1890, 267, 15698, 267, 1582, 3766, 17922, 267, 16285, 454, 13828, 1913, 616, 19655, 540, 519, 824, 269, 9741, 3017, 952, 1022, 2529, 1830, 4433, 2567, 5291, 2517, 339, 1127, 19653, 269, 10915, 2397, 2593, 11486, 12864, 11721, 516, 4520, 5291, 2517, 339, 1127, 19653, 269, 10915, 2397, 2593, 11486, 12864, 270, 12221, 1068, 344, 454, 268, 476, 272, 8717, 3516, 454, 325, 516, 4520, 284, 684, 6135, 24071, 946, 281, 328, 2285, 1864, 519, 5191, 540, 1250, 2777, 454, 12221, 1068, 344, 284, 325, 516, 4520, 689, 26568, 1852, 281, 785, 1339, 15698, 454, 268, 661, 20891, 11709, 774, 1329, 523, 299, 341, 476, 10170, 8717, 3516, 454, 257, 262, 26466, 4520, 262, 11363, 519, 4316, 2016, 585, 519, 3635, 540, 835, 781, 2924, 267 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 707, 4605, 543, 3323, 1210, 621, 10876, 1510, 6998, 585, 707, 10479, 1107, 602, 1131, 1745, 7168, 15490, 267, 9327, 1405, 621, 286, 4270, 267, 28245, 1419, 3068, 2147, 2152, 950, 1866, 946, 741, 2012, 267, 3239, 267, 610, 6010, 8864, 1510, 9844, 585, 5010, 5301, 269, 2334, 781, 1141, 519, 1523, 540, 1318, 540, 32398, 2501, 883, 1404, 269, 901, 1858, 540, 1876, 2636, 2043, 547, 1852, 875, 741, 3961, 568, 1031, 585, 7443, 780, 28274, 9406, 540, 5398, 640, 16610, 547, 29028, 454, 14343, 19567, 3086, 602, 649, 1174, 1018, 1318, 540, 32398, 1797, 267, 1577, 781, 1294, 875, 621, 10039, 547, 29028, 781, 1158, 269, 4014, 646, 5030, 1282, 519, 17454, 29509, 1974, 630, 19925, 519, 476, 277, 628, 2540, 1070, 1279, 1354, 2413, 4031, 11478, 267, 4952, 952, 29028, 941, 9800, 2221, 543, 1010, 9035, 941, 5828, 883, 9413, 610, 3381, 3756, 269, 5808, 1131, 1378, 519, 2924, 547, 1010, 1650, 286, 1215, 1223, 646, 2149, 1010, 10639, 543, 2327, 646, 4991, 9425, 9104, 730, 585, 1022, 5010, 946, 540, 1010, 1268, 320, 2496, 2080, 616, 930, 1883, 2798, 547, 2015, 1384, 272, 269, 2878, 15275, 640, 7126, 4995, 3807, 899, 1483, 3734, 28245, 267, 29028, 814, 2189, 7907, 602, 10646, 1864, 689, 1866, 269, 3571, 4222, 267, 10100, 267, 543, 1983, 607, 513, 24116, 1305, 1864, 6306, 543, 3565, 547, 1010, 21239, 269, 1403, 1010, 1650, 729, 9862, 883, 513, 7260, 610, 3014, 267, 646, 1131, 1616, 547, 2327, 602, 891, 3344, 540, 1010, 1915, 2611, 3020, 547, 519, 3312, 10828, 563, 273, 269, 2878, 4467, 14293, 2422, 4995, 5994, 952, 513, 2754, 4956, 547, 1711, 513, 1899, 540, 2962, 5515, 1759, 593, 29028, 781, 6010, 8864, 269, 1306, 851, 540, 519, 6876, 267, 789, 1590, 3489, 29028, 781, 630, 528, 2864, 267, 1010, 18939, 10807, 10479, 543, 2671, 519, 12434, 609, 873, 269, 1635, 3257, 865, 267, 3025, 2640, 1247, 18245, 1142, 824, 781, 2924, 563, 274, 269, 2878, 11847, 16615, 5004, 4995, 6884, 267, 1004, 949, 21568, 1776, 1268, 781, 3961, 538, 2081, 602, 2800, 741, 10639, 269, 1280, 1383, 267, 2870, 25584, 602, 20186, 29028, 9117, 31081, 528, 2406, 610, 22867, 10963, 1223, 3441, 1010, 1434, 2012, 269, 1677, 2061, 713, 267, 29028, 1131, 991, 547, 6895, 875, 1010, 3961, 568, 1373, 1031, 543, 7682, 1010, 2924, 896, 519, 1876, 952, 2556, 563, 275, 269, 2878, 14276, 9314, 5288, 269, 17721, 7126, 4995, 2755, 29028, 19262, 4027, 585, 1010, 3961, 267, 972, 616, 17756, 269, 1879, 1945, 5713, 519, 3152, 1434, 610, 8309, 3648, 547, 2486, 781, 1620, 540, 1686, 543, 2528, 267, 3908, 3096, 540, 513, 1268, 781, 3961, 666, 581, 4847, 1256, 1510, 8763, 9844, 269, 1717, 267, 1697, 5491, 543, 8622, 8540, 1058, 1869, 581, 2016, 780, 12244, 281, 5071, 2659, 13574, 15552, 2336, 28598, 3086, 602, 596, 723, 4121, 827, 1318, 540, 32398, 543, 922, 4276, 547, 17454, 29509, 3332, 267, 1374, 707, 1378, 26704, 5869, 256, 6333, 519, 1739, 2055, 1384, 265, 1548, 2306, 707, 5869, 2027, 286, 1548, 5036, 873, 6306, 689, 1866, 888, 265, 1215, 1131, 596, 899, 707, 5869, 781, 3961, 547, 581, 6870, 952, 741, 1650, 3587, 4922, 1634, 888, 265, 14348, 596, 1450, 1866, 547, 946, 707, 5869, 781, 3239, 585, 3872, 5301, 267, 543, 952, 9811, 267, 896, 799, 2175, 2496, 3528, 3206, 9691, 827, 891, 2152, 1631, 267, 596, 2811, 3384, 1271, 1983, 2877, 547, 6330, 1950, 3656, 3584, 2663, 538, 1272, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 396, 357, 10528, 3522, 4814, 15671, 3522, 6459, 18547, 281, 2843, 505, 4138, 16021, 13077, 4344, 7846, 13077, 31560, 3264, 20434, 7549, 29652, 23485, 25000, 17221, 4138, 15800, 29112, 396, 357, 396, 494, 454, 273, 269, 2843, 508, 16648, 9924, 7549, 4709, 13833, 12811, 21170, 21660, 10948, 3522, 6459, 3378, 25602, 4709, 15671, 20434, 13953, 4736, 7549, 26281, 2843, 375, 4138, 16021, 13077, 4344, 7846, 4814, 9924, 16068, 4344, 21170, 31502, 4344, 17095, 21660, 10948, 3522, 6459, 7846, 2843, 494, 4709, 15671, 6459, 25974, 3522, 7549, 4736, 32648, 4736, 7549, 22147, 3378, 10780, 21268, 4138, 19757, 3522, 269, 2843, 509, 21268, 8563, 9924, 3264, 17095, 31589, 10528, 21162, 3264, 10780, 3522, 9261, 9326, 4344, 17221, 24012, 25602, 4709, 15671, 6459, 25974, 3522, 7549, 4736, 32648, 4736, 7549, 26281, 2843, 375, 4138, 16021, 13077, 4344, 7846, 4814, 9924, 2443, 10780, 3522, 9261, 9326, 4344, 17221, 24012, 2843, 375, 19277, 4138, 4709, 4736, 24012, 3264, 2443, 10780, 23485, 20265, 9686, 6459, 3264, 21833, 19277, 10780, 16417, 9686, 13150, 3522, 8563, 4138, 16021, 31124, 9261, 18194, 7846, 17153, 13833, 12811, 13150, 27593, 281, 2843, 494, 23783, 9686, 15671, 3264, 23783, 9261, 267, 2843, 370, 4138, 8563, 20732, 4138, 13953, 11714, 3378, 11714, 4344, 18775, 26281, 10780, 17201, 13833, 4138, 4709, 3264, 23446, 11714, 3264, 18547, 267, 25602, 8563, 4344, 18775, 11714, 4138, 28821, 3264, 8563, 19277, 26281, 29824, 5284, 371, 9924, 15800, 11012, 28821, 17153, 13833, 267, 2843, 495, 4138, 9686, 2443, 25602, 8563, 4344, 18775, 23970, 20265, 9261, 23845, 4344, 26281, 16938, 396, 355, 21268, 7549, 13833, 4709, 26281, 15800, 13150, 18775, 4138, 4138, 25602, 4709, 15671, 6459, 13833, 14872, 267, 2843, 494, 6459, 7549, 7846, 4138, 4709, 1765, 27188, 10948, 397, 495, 21162, 13953, 20413, 3378, 20265, 17153, 267, 23970, 4709, 19277, 30718, 28314, 13077, 9261, 9261, 19277, 4138, 24012, 267, 476, 23485, 4344, 18775, 4138, 24012, 267, 18194, 4138, 3522, 6459, 3264, 7549, 28821, 24012, 267, 10780, 3264, 16417, 3264, 17153, 3522, 8563, 20732, 4138, 13953, 11714, 476, 2568, 268, 6459, 20046, 4709, 27671, 11714, 5284, 371, 13077, 13150, 3264, 17095, 3378, 18194, 8563, 18775, 7846, 2843, 504, 3522, 4814, 20977, 31560, 3264, 20434, 7549, 22147, 3378, 1040, 396, 356, 26580, 17095, 3522, 4736, 3522, 20046, 31502, 18194, 16417, 8563, 4709, 3264, 13953, 20732, 4138, 17153, 10780, 3522, 9261, 9326, 4344, 17221, 7549, 13833, 25602, 4709, 15671, 6459, 3378, 268, 4736, 3522, 7549, 4736, 32648, 4736, 7549, 22147, 3378, 476, 9326, 13194, 9924, 18547, 267, 476, 26580, 17095, 31589, 10528, 21162, 3264, 10780, 3378, 397, 491, 28821, 10948, 27799, 24012, 3264, 29824, 3378, 4138, 13194, 8563, 29391, 23845, 9326, 18194, 3378, 17153, 19757, 9326, 4344, 18194, 3378, 21660, 4736, 16068, 4344, 2473, 296, 11714, 3264, 18547, 267, 31128, 4736, 20434, 14359, 3264, 11012, 10948, 4138, 4344, 28476, 10780, 3522, 9261, 9326, 4344, 17221, 7549, 13833, 18194, 30718, 7846, 9261, 12811, 25000, 23783, 4709, 22147, 3378, 16044, 483, 3522, 13077, 7549, 16021, 13077, 267, 16044, 483, 4814, 3378, 17221, 7549, 267, 476, 16021, 7549, 13150, 13833, 30935, 7549, 32648, 13833, 269, 396, 350, 3522, 9261, 9924, 9261, 30935, 9261, 3264, 10948, 3522, 16021, 23783, 21162, 9261, 10780, 3522, 9261, 9326, 4344, 17221, 7549, 21134, 18194, 16417, 8563, 4709, 3264, 13953, 25602, 4709, 15671, 20434, 13953, 4736, 7549, 26281, 10780, 3378, 397, 491, 13194, 4138, 4138, 476, 9326, 8563, 31124, 20046, 31502, 10780, 3378, 397, 491, 9261, 3522, 16068, 2843, 495, 3264, 13833, 7846, 23783, 32553, 3264, 269, 31560, 14359, 3264, 13953, 16068, 10528, 25986, 9924, 27593, 19628, 4344, 31502, 11012, 29652, 9924, 28821, 9326, 267, 16068, 4344, 21170, 31502, 27569, 4138, 27799, 9326, 17095, 10780, 21268, 8563, 26281, 10780, 17201, 13833, 4138, 4709, 3264, 17886, 11714, 3264, 18547, 267, 16044, 491, 10528, 3378, 17153, 3264, 25338, 18775, 9841, 16648, 9924, 16044, 482, 13077, 4709, 7549, 13833, 11012, 28314, 3378, 25000, 9261, 4138, 563, 763, 1292, 16502, 267, 29028, 267, 513, 5869, 540, 519, 2983, 1846, 267, 2501, 547, 519, 5351, 540, 670, 549, 628, 3258, 267, 519, 4622, 540, 519, 667, 6951, 267, 4171, 1390, 688, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 32045, 1315, 30007, 1315, 9406, 540, 5398, 640, 28787, 338, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 634, 7450, 547, 8861, 781, 5604, 1212, 8898, 1930, 267, 13031, 9400, 267, 513, 771, 515, 767, 539, 812, 538, 1010, 4571, 1922, 677, 625, 269, 3571, 4064, 941, 1973, 3333, 582, 267, 543, 646, 804, 583, 3481, 513, 1835, 636, 9482, 29997, 566, 4484, 538, 1010, 1726, 3387, 1782, 3946, 780, 27880, 6743, 909, 689, 1200, 1957, 1740, 267, 6161, 1696, 4221, 3294, 5196, 1200, 3068, 269, 2701, 1185, 2141, 17329, 9400, 282, 646, 729, 835, 540, 1346, 4686, 2043, 945, 5963, 25374, 827, 519, 2754, 543, 922, 1004, 269, 1809, 1945, 5143, 1200, 2221, 1131, 581, 1114, 780, 32178, 11688, 18469, 1354, 6340, 267, 10010, 547, 1265, 519, 1318, 1913, 269, 834, 296, 4312, 1044, 1934, 585, 4557, 1296, 2437, 646, 3459, 267, 31325, 10145, 569, 693, 519, 3774, 3297, 8861, 269, 834, 307, 523, 1279, 1296, 1862, 594, 2760, 2219, 594, 9364, 4734, 3010, 3891, 17328, 4310, 267, 11018, 5128, 269, 1879, 646, 6368, 4797, 267, 1010, 5639, 29618, 609, 7553, 269, 834, 3719, 1919, 723, 4957, 25015, 269, 1703, 781, 1100, 2631, 540, 2146, 15042, 269, 3143, 1489, 269, 898, 7959, 899, 649, 2811, 782, 1175, 2338, 593, 513, 22369, 3010, 288, 5230, 16563, 4904, 519, 4055, 607, 8861, 12842, 9400, 781, 1913, 269, 901, 7012, 1405, 519, 1101, 942, 1352, 9364, 4862, 27742, 899, 891, 1282, 606, 14827, 5967, 269, 769, 1249, 267, 789, 8604, 547, 581, 4742, 5051, 1455, 269, 23985, 2877, 547, 1689, 1107, 543, 3728, 780, 291, 17827, 547, 1118, 513, 3017, 267, 8861, 4956, 547, 5490, 4514, 883, 519, 3390, 269, 3683, 519, 1985, 1906, 4374, 267, 1352, 5342, 9488, 14827, 11042, 609, 1169, 8977, 532, 9441, 267, 6998, 2625, 532, 2055, 827, 741, 2833, 1369, 519, 2754, 780, 2026, 4397, 267, 1082, 11855, 4743, 896, 1998, 4240, 543, 936, 1740, 539, 269, 11524, 12038, 540, 22573, 3937, 267, 4057, 2792, 9055, 267, 543, 513, 3982, 3668, 540, 11413, 3823, 3260, 687, 543, 12651, 269, 2290, 3226, 1085, 987, 532, 6085, 3357, 689, 13191, 267, 513, 16805, 14704, 945, 1185, 2451, 1310, 1152, 3670, 3275, 281, 834, 296, 5433, 899, 1250, 5876, 4769, 1405, 2339, 269, 6145, 594, 729, 1175, 1776, 524, 690, 538, 519, 3684, 3010, 30265, 539, 609, 713, 2481, 940, 2963, 267, 8861, 14059, 1200, 2706, 12542, 11439, 609, 1239, 267, 5418, 8172, 585, 6963, 269, 1677, 1200, 9983, 267, 789, 19557, 32348, 267, 14344, 519, 14496, 540, 1200, 4145, 543, 9621, 2962, 780, 306, 869, 569, 855, 15983, 267, 2242, 3459, 547, 1491, 1747, 269, 2494, 6162, 4607, 2866, 593, 2500, 5718, 2553, 267, 4180, 602, 1142, 2319, 4759, 5433, 12595, 543, 6462, 269, 1715, 2792, 2645, 941, 8045, 267, 6908, 23164, 3157, 543, 5807, 5698, 1063, 13623, 269, 1656, 5310, 1034, 3648, 267, 5993, 23348, 1631, 3769, 7482, 585, 21130, 2029, 543, 3246, 3606, 2200, 585, 5234, 1646, 780, 12507, 2195, 2663, 267, 8861, 2893, 2066, 689, 513, 1007, 16926, 267, 11235, 547, 5873, 827, 1010, 1995, 865, 2484, 269, 1306, 789, 10004, 1540, 267, 1352, 7948, 1405, 948, 855, 5469, 519, 8141, 548, 538, 1010, 3750, 1107, 519, 1482, 8141, 548, 1352, 1031, 547, 1294, 538, 9400, 781, 269, 9320, 267, 1175, 6148, 267, 789, 1185, 7307, 547, 2490, 1919, 1472, 780, 7437, 9237, 7391, 543, 14942, 3800, 267, 8861, 1185, 9927, 1200, 9036, 883, 513, 14762, 5117, 1141, 5520, 1223, 21707, 269, 1635, 6947, 5702, 547, 5955, 689, 14827, 11042, 267, 1352, 7152, 602, 1256, 9583, 31837, 25236, 762, 2591, 1223, 581, 7753, 998, 11428, 267, 6568, 267, 543, 6043, 269, 0, 2237, 513, 8903, 1650, 1644, 547, 519, 1739, 1257, 6256, 912, 22081, 666, 12820, 2087, 741, 12802, 3928, 1210, 5955, 689, 14827, 11042, 888, 32715, 619, 666, 2087, 741, 12802, 3928, 676, 1210, 5955, 689, 14827, 11042, 538, 519, 1739, 2081, 1384, 272, 269, 17291, 1455, 4128, 585, 9441, 24826, 281, 4438, 14827, 11042, 267, 5520, 2285, 4128, 585, 6028, 519, 3919, 267, 971, 607, 796, 995, 325, 2683, 6788, 610, 4057, 2359, 269, 14146, 619, 666, 946, 713, 1344, 547, 2697, 1455, 3466, 3056, 547, 9441, 24826, 543, 2232, 873, 780, 273, 269, 25947 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 646, 15504, 1200, 2059, 269, 769, 519, 3109, 8673, 2220, 26325, 827, 873, 267, 789, 14406, 519, 10051, 7450, 563, 293, 7949, 1227, 267, 789, 1212, 696, 2059, 513, 1085, 528, 4221, 3905, 3774, 267, 5275, 547, 1265, 606, 14827, 563, 10190, 623, 10154, 16686, 936, 606, 1843, 593, 519, 6989, 543, 8593, 269, 1306, 1352, 6836, 547, 1205, 909, 267, 1200, 1688, 20109, 1945, 2571, 543, 27548, 269, 589, 1560, 2482, 30832, 1194, 538, 513, 24050, 22290, 1200, 593, 519, 6989, 563, 17606, 779, 22123, 17373, 1352, 524, 3072, 269, 968, 17764, 267, 10793, 267, 948, 803, 1205, 1200, 909, 28461, 11403, 3633, 294, 5058, 5990, 681, 4353, 2207, 454, 306, 958, 4779, 534, 539, 28663, 855, 1705, 711, 13489, 607, 623, 10154, 6836, 547, 7485, 1200, 547, 513, 9361, 2990, 269, 634, 3002, 1631, 729, 3592, 30898, 792, 2406, 7920, 267, 609, 10760, 12478, 21177, 10876, 269, 1809, 2282, 519, 6989, 267, 519, 2011, 729, 1732, 267, 543, 623, 10154, 16668, 621, 538, 676, 2620, 575, 592, 1186, 563, 31568, 779, 575, 1886, 532, 1688, 11402, 519, 16173, 269, 1924, 1136, 1010, 10359, 609, 1216, 689, 835, 540, 519, 512, 2355, 267, 646, 5795, 621, 547, 623, 10154, 547, 2149, 1200, 2212, 543, 17525, 563, 2108, 20055, 803, 1205, 22123, 5196, 1250, 1394, 538, 513, 9605, 2006, 779, 4163, 2223, 646, 3154, 6244, 269, 968, 2171, 666, 1118, 621, 3034, 763, 6015, 538, 10793, 779, 5639, 5795, 623, 10154, 1007, 10100, 543, 4222, 269, 1306, 646, 5679, 3881, 1524, 593, 519, 6989, 267, 1352, 1951, 13949, 22123, 5196, 1010, 1394, 269, 670, 13783, 519, 16931, 1560, 1164, 593, 1010, 17525, 267, 646, 588, 698, 13499, 2066, 519, 10051, 563, 303, 10154, 11461, 1864, 547, 519, 7450, 269, 4469, 1868, 1185, 13881, 883, 519, 2713, 4055, 267, 543, 513, 1507, 6712, 540, 519, 6989, 1185, 15468, 998, 269, 1677, 3914, 519, 14827, 729, 7543, 563, 28317, 6885, 17373, 10793, 9859, 563, 303, 10154, 1223, 1294, 9039, 267, 865, 10053, 729, 519, 8673, 267, 855, 1352, 15422, 875, 519, 4055, 1185, 1044, 9788, 856, 267, 543, 15504, 10793, 547, 606, 9018, 3774, 269, 4173, 3695, 1688, 11402, 513, 6885, 521, 650, 267, 855, 1352, 1223, 711, 1205, 519, 521, 1662, 909, 563, 1103, 18418, 566, 267, 1352, 14736, 539, 856, 519, 4837, 269, 589, 19060, 540, 3579, 267, 6653, 2011, 13351, 1200, 3068, 269, 674, 3739, 1200, 9641, 267, 1352, 5828, 547, 948, 10793, 609, 1010, 11411, 269, 6969, 1352, 1223, 9787, 1864, 267, 646, 29345, 3022, 7444, 547, 519, 6989, 563, 1320, 6412, 532, 1200, 2212, 998, 519, 7745, 6885, 267, 623, 10154, 22551, 539, 585, 948, 563, 310, 3739, 3946, 24850, 1200, 547, 3106, 267, 543, 1079, 2367, 6172, 5523, 998, 519, 6885, 547, 3142, 856, 10793, 543, 22123, 269, 5637, 941, 5645, 930, 3845, 689, 519, 1025, 5074, 2679, 547, 606, 18914, 1141, 789, 941, 2847, 1882, 563, 4913, 267, 22123, 729, 538, 991, 540, 2564, 3007, 269, 22458, 543, 32071, 4900, 1185, 1044, 2206, 539, 3368, 2476, 267, 543, 811, 3978, 267, 1200, 3946, 543, 7916, 941, 16094, 14616, 269, 10793, 543, 623, 10154, 887, 1372, 609, 1200, 547, 519, 6413, 950, 519, 5605, 592, 766, 6368, 3357, 563, 8253, 2394, 3108, 2663, 267, 1310, 18279, 31661, 518, 1185, 1044, 2040, 3000, 539, 267, 1705, 22123, 917, 4896, 269, 1261, 822, 1176, 6512, 3042, 267, 609, 1200, 4651, 267, 10793, 267, 543, 623, 10154, 693, 1200, 5127, 2515, 267, 1352, 8118, 1200, 4064, 543, 5795, 873, 513, 3368, 13463, 14975, 1989, 514, 563, 10527, 23509, 9495, 1352, 26866, 1229, 563, 2108, 306, 12522, 569, 581, 3737, 593, 513, 15524, 531, 2223, 18279, 31661, 518, 21407, 1200, 13035, 569, 269, 968, 2467, 779, 4986, 547, 5855, 827, 269, 2353, 519, 15915, 723, 1044, 3144, 547, 10506, 610, 547, 741, 5321, 269, 589, 16861, 2638, 814, 3254, 1152, 835, 812, 4503, 267, 606, 11653, 945, 729, 16290, 693, 1010, 2022, 950, 519, 16411, 7018, 20829, 519, 23509, 3034, 2108, 16954, 267, 596, 941, 14952, 748, 2223, 22123, 26866, 1229, 269, 968, 2791, 10710, 519, 1216, 12506, 3034, 2108, 4517, 5176, 4503, 513, 8250, 269, 22123, 267, 1946, 1705, 596, 2119, 547, 1205, 883, 602, 8781, 2679, 18313, 306, 958, 16668, 513, 2620, 267, 13110, 521, 662, 563, 2108, 22142, 2247, 2223, 1767, 623, 10154, 24963, 269, 968, 2171, 917, 1946, 596, 4682, 538, 22924, 729, 547, 1265, 519, 21567, 26816, 1181, 3034, 306, 958, 21330, 269, 968, 2691, 594, 3893, 547, 519, 25810, 267, 26428, 941, 15246, 909, 10876, 2223, 1352, 27416, 609, 513, 695, 644, 1457, 269, 968, 296, 7691, 1287, 602, 594, 7948, 1406, 7654, 1265, 519, 26816, 1181, 610, 4376, 3116, 269, 594, 6836, 547, 1205, 1394, 267, 855, 8673, 729, 10876, 269, 2334, 729, 519, 2063, 594, 15422, 3034, 17606, 729, 10793, 945, 10710, 596, 2223, 623, 10154, 1767, 267, 855, 646, 2759, 538, 547, 31274, 602, 519, 5491, 20705, 547, 1200, 2864, 982, 547, 1864, 563, 1103, 519, 22984, 540, 513, 1434, 5991, 25733, 4661, 936, 519, 1641, 267, 513, 12016, 3357, 547, 2161, 602, 623, 10154, 543, 10793, 1312, 941, 4941, 593, 519, 15146, 563, 10527, 7128, 8257, 10912, 2223, 1352, 6045, 563, 5445, 941, 1524, 519, 10689, 538, 513, 8755, 547, 1491, 519, 1289, 269, 18279, 9466, 540, 519, 2749, 7128, 3196, 5483, 873, 789, 941, 4941, 5612, 693, 7128, 22071, 547, 2697, 31687, 4177, 15608, 267, 519, 4498, 11825, 267, 543, 18412, 22110, 2023, 945, 1185, 1044, 18486, 693, 519, 16456, 6728, 269, 14088, 717, 869, 619, 327, 1157, 849, 1185, 1044, 3144, 883, 26692, 563, 4263, 22071, 19939, 3764, 2663, 267, 519, 1762, 1004, 1336, 6004, 269, 717, 663, 1170, 267, 623, 10154, 779, 4651, 267, 543, 1261, 710, 344, 717, 4900, 7288, 2907, 972, 269, 7726, 539, 676, 7128, 267, 519, 1762, 1004, 7000, 3388, 789, 6785, 827, 519, 2013, 563, 14071, 666, 3180, 891, 2367, 585, 513, 1247, 2223, 12751, 13391, 13704, 16219, 6004, 269, 717, 663, 1170, 267, 968, 8117, 547, 1118, 10997, 6529, 267, 649, 3580, 723, 547, 723, 811, 2963, 3034, 303, 10154, 1185, 5143, 540, 519, 21461, 540, 21567, 538, 519, 22489, 25810, 267, 543, 849, 540, 7487, 31687, 4177, 15608, 543, 18412, 22110, 2023, 29746, 1454, 540, 519, 561, 2393, 538, 519, 5757, 269, 2701, 729, 21407, 602, 519, 21219, 540, 519, 2777, 1131, 581, 22646, 538, 519, 6640, 543, 602, 513, 546, 1042, 613, 1131, 581, 8655, 547, 2119, 547, 12398, 519, 21567, 799, 1185, 1044, 16207, 936, 4580, 883, 519, 27811, 851, 540, 519, 8756, 563, 3891, 710, 344, 717, 4900, 7288, 3812, 5638, 646, 1185, 6854, 267, 6029, 513, 1592, 540, 717, 663, 1170, 12051, 2308, 525, 1634, 547, 581, 26582, 538, 519, 4729, 563, 2108, 7197, 540, 519, 7606, 3238, 616, 1007, 2308, 525, 945, 1159, 10212, 1194, 1507, 4773, 540, 21567, 856, 540, 519, 12051, 543, 5828, 873, 936, 547, 31687, 4177, 15608, 585, 8930, 2724, 2223, 646, 7000, 269, 968, 763, 3401, 616, 15608, 267, 22110, 2023, 267, 543, 717, 869, 619, 327, 1157, 269, 2060, 873, 3297, 13063, 267, 519, 8258, 786, 23271, 3034, 29467, 779, 835, 3364, 594, 1616, 547, 917, 2223, 623, 10154, 10294, 4743, 569, 269, 968, 8005, 12630, 519, 21567, 538, 22123, 779, 9376, 518, 1247, 1352, 729, 2324, 693, 519, 12051, 18313, 5591, 835, 1223, 2626, 519, 2243, 693, 519, 4090, 267, 855, 519, 1739, 1554, 267, 1310, 7128, 1185, 14578, 20402, 519, 14586, 267, 519, 3003, 1650, 2968, 1634, 269, 31687, 4177, 15608, 267, 519, 1483, 1128, 580, 1807, 540, 519, 4729, 267, 1185, 1793, 5792, 883, 519, 9376, 518, 4055, 5128, 267, 543, 1185, 5116, 519, 1651, 3234, 3215, 4062, 540, 2963, 538, 22123, 779, 9376, 518, 267, 1210, 513, 4487, 1883, 269, 1261, 1185, 20247, 27419, 1200, 1317, 1896, 2053, 1352, 1185, 759, 5034, 1010, 8942, 547, 1831, 7874, 563, 7212, 7128, 1185, 5833, 9896, 21334, 687, 267, 15889, 2963, 849, 729, 2877, 267, 585, 607, 12751, 13391, 13704, 11329, 856, 547, 6004, 269, 717, 663, 1170, 267, 519, 2367, 1522, 1065, 644, 5573, 741, 6898, 950, 789, 7902, 538, 5480, 269, 22353, 267, 7128, 2695, 6758, 941, 2366, 547, 519, 4498, 11825, 685, 547, 3406, 519, 607, 1127, 585, 2963, 267, 543, 849, 547, 519, 5757, 547, 27459, 1047, 546, 1042, 3101, 4238, 563, 9961, 519, 1554, 267, 1063, 15143, 547, 519, 6413, 547, 1294, 22123, 267, 10793, 543, 623, 10154, 14478, 519, 546, 1042, 613, 10935, 1118, 922, 15143, 1394, 543, 8521, 936, 519, 1858, 1141, 519, 561, 2393, 1185, 1044, 12628, 563, 14881, 4126, 594, 7012, 1406, 19451, 538, 519, 4087, 2223, 623, 10154, 6376, 539, 11816, 13124, 607, 519, 6077, 1500, 7368, 32751, 687, 1510, 1967, 269, 968, 5475, 782, 267, 519, 3781, 729, 4158, 267, 543, 594, 1185, 1100, 1259, 540, 2921, 4977, 26971, 3034, 10907, 1484, 519, 5757, 543, 18923, 7298, 267, 519, 3109, 2989, 267, 7296, 22403, 540, 519, 23509, 2482, 18843, 539, 593, 513, 5070, 8663, 269, 10801, 519, 3781, 267, 513, 3595, 29539, 1185, 20406, 29253, 1216, 883, 519, 8781, 6077, 267, 855, 1256, 865, 267, 11642, 1185, 711, 1044, 7357, 24773, 1639, 563, 29409, 940, 4574, 1185, 5645, 519, 8716, 1344, 602, 972, 729, 1152, 835, 1634, 13680, 1399, 607, 513, 1267, 540, 519, 9568, 269, 2334, 1082, 2729, 1185, 711, 1044, 4503, 729, 20295, 7357, 547, 519, 29752, 2962, 540, 18279, 31661, 518, 563, 6826, 5765, 649, 776, 540, 8384, 519, 27865, 517, 748, 546, 1042, 3101, 4238, 267, 10793, 543, 623, 10154, 8678, 513, 555, 3994, 540, 8049, 676, 1056, 619, 693, 519, 22489, 3959, 269, 17318, 1185, 3144, 2347, 5279, 543, 941, 986, 6362, 519, 1159, 1245, 1359, 21219, 563, 2108, 8340, 4376, 9495, 10793, 4280, 513, 2384, 17507, 646, 6785, 563, 763, 812, 11329, 547, 513, 1507, 24050, 540, 1347, 1042, 4496, 799, 1185, 1044, 3144, 689, 519, 25810, 269, 1703, 941, 1082, 4773, 540, 21567, 267, 855, 519, 7508, 26816, 1181, 729, 711, 547, 581, 1336, 538, 519, 18061, 563, 4913, 267, 689, 513, 4759, 540, 519, 818, 5459, 27805, 267, 789, 4121, 602, 2614, 2963, 1185, 1044, 1336, 547, 6961, 598, 13254, 602, 519, 3595, 1185, 1044, 3323, 609, 17405, 563, 2108, 30538, 22489, 838, 2683, 519, 2898, 1650, 2223, 835, 540, 519, 2384, 18779, 1644, 269, 968, 9515, 543, 1200, 9393, 941, 9425, 2786, 2394, 789, 2968, 6404, 909, 609, 31687, 4177, 15608, 267, 945, 814, 513, 7128, 2594, 540, 1279, 7555, 269, 8575, 1185, 513, 3109, 2344, 1870, 538, 16536, 6006, 902, 602, 4769, 1406, 2179, 547, 1454, 269, 1924, 2484, 607, 649, 4076, 1044, 2111, 547, 1451, 267, 1352, 543, 513, 3454, 328, 9920, 7247, 649, 4076, 9575, 267, 941, 519, 1152, 3283, 3238, 269, 4173, 9393, 543, 519, 824, 2367, 2808, 519, 6006, 532, 24646, 564, 1507, 12277, 585, 873, 3034, 5475, 6158, 609, 519, 2384, 18779, 585, 1659, 327, 850, 267, 519, 1762, 1004, 18389, 1229, 1524, 547, 519, 5757, 779, 6316, 547, 1294, 875, 546, 1042, 3101, 4238, 27636, 563, 2108, 5445, 2461, 688, 30389, 1945, 856, 540, 519, 1216, 1631, 17373, 10793, 608, 13094, 269, 968, 3528, 6723, 256, 898, 5654, 899, 21567, 547, 803, 28461, 23804, 513, 10935, 13615, 909, 693, 519, 546, 1442, 267, 789, 22666, 621, 543, 4737, 539, 6385, 856, 547, 519, 546, 1042, 613, 269, 1703, 789, 4718, 602, 930, 540, 519, 4496, 799, 31687, 4177, 15608, 1185, 546, 22981, 267, 1185, 8197, 1044, 16626, 563, 3682, 323, 3429, 538, 519, 544, 28854, 18061, 538, 519, 5377, 540, 519, 546, 1042, 613, 2121, 267, 623, 10154, 579, 1777, 1229, 513, 2370, 3458, 600, 540, 7772, 269, 968, 763, 21567, 26816, 1181, 568, 1934, 267, 10793, 256, 1548, 8748, 9939, 28461, 5353, 1944, 519, 1793, 830, 2275, 2642, 1843, 267, 1352, 18233, 621, 538, 519, 5757, 269, 968, 4131, 779, 1491, 621, 2786, 547, 22123, 693, 519, 6413, 17373, 1352, 24016, 563, 10303, 519, 26816, 1181, 1131, 581, 1271, 2963, 538, 519, 2013, 1996, 717, 869, 619, 327, 1157, 267, 7128, 20829, 519, 546, 1042, 613, 941, 31464, 585, 621, 547, 581, 6569, 269, 1717, 267, 519, 1762, 1004, 5645, 519, 3377, 547, 22123, 563, 2108, 17764, 267, 594, 6557, 865, 19914, 519, 26816, 1181, 814, 1044, 16626, 17373, 1352, 524, 3072, 25747, 269, 968, 31568, 267, 596, 3580, 3094, 621, 538, 519, 5198, 11016, 3034, 31568, 543 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 616, 23387, 789, 723, 519, 2068, 269, 12580, 540, 519, 3644, 666, 1491, 1296, 547, 8915, 267, 1498, 2899, 789, 798, 267, 519, 3441, 949, 581, 26464, 563, 29819, 1656, 12580, 2986, 22031, 22807, 595, 454, 22873, 658, 4598, 630, 5976, 514, 519, 1101, 3670, 3275, 264, 547, 519, 3644, 949, 20006, 2589, 2147, 547, 2770, 267, 1519, 513, 1970, 17263, 8611, 267, 9854, 610, 8467, 267, 543, 2530, 540, 14031, 269, 2859, 4049, 2589, 949, 1020, 2038, 593, 610, 1296, 1310, 3355, 4598, 543, 1331, 13481, 267, 7181, 16081, 4771, 267, 4745, 8467, 543, 1928, 267, 4887, 15319, 1145, 267, 2242, 538, 10729, 610, 15108, 6296, 267, 543, 795, 16184, 823, 563, 289, 1168, 732, 2986, 634, 11374, 20050, 1656, 12580, 2986, 22031, 22807, 595, 912, 268, 8899, 17263, 8611, 454, 268, 15310, 8982, 267, 8467, 454, 268, 13809, 540, 14031, 454, 268, 715, 13835, 267, 13481, 454, 268, 853, 6729, 16081, 4771, 454, 268, 17434, 8467, 543, 4887, 1928, 454, 268, 15448, 538, 10729, 267, 15108, 6296, 454, 268, 808, 16184, 823, 630, 344, 3641, 532, 540, 519, 2960, 994, 2252, 596, 723, 5063, 3838, 513, 13549, 609, 1776, 1268, 543, 616, 27109, 1022, 4999, 540, 891, 2589, 267, 621, 568, 1898, 596, 1205, 29971, 585, 519, 3644, 269, 7216, 9584, 543, 2126, 666, 9004, 8650, 670, 20302, 543, 5732, 10826, 5312, 3029, 540, 519, 2068, 563, 21574, 13205, 1677, 9615, 1280, 22031, 22807, 595, 1280, 10001, 10684, 20305, 454, 2467, 616, 1896, 7496, 547, 2126, 585, 22031, 22807, 595, 1851, 5095, 2502, 538, 10001, 3075, 946, 269, 3509, 540, 519, 26884, 6878, 9447, 12499, 1597, 3585, 666, 11874, 1764, 6527, 1031, 538, 519, 2126, 540, 670, 20302, 269, 1452, 6527, 666, 2333, 30072, 1981, 269, 3958, 267, 2576, 945, 568, 1152, 5063, 538, 6051, 949, 26739, 543, 2901, 19944, 826, 2126, 610, 3136, 2126, 5103, 519, 1634, 30072, 1981, 269, 13575, 6340, 267, 606, 17418, 547, 2226, 17712, 29561, 689, 3075, 946, 1282, 670, 20302, 2126, 568, 513, 3119, 11064, 547, 1416, 269, 769, 824, 2665, 267, 2427, 2360, 689, 519, 6527, 610, 6219, 4205, 666, 2061, 2126, 27402, 563, 5278, 540, 891, 5061, 267, 5103, 741, 8810, 7145, 538, 16069, 519, 3644, 267, 2097, 609, 513, 2101, 3902, 11090, 20546, 532, 811, 982, 1269, 272, 267, 1822, 513, 10788, 269, 1656, 789, 616, 711, 2141, 4988, 676, 6142, 267, 2870, 2943, 1776, 11064, 547, 2126, 563, 8448, 7496, 547, 2126, 1331, 513, 3668, 540, 9584, 607, 1346, 945, 616, 2502, 538, 28302, 10001, 3075, 946, 616, 711, 2693, 547, 3343, 2564, 9584, 269, 6271, 2101, 11064, 568, 513, 3668, 540, 4656, 1851, 519, 2489, 2551, 540, 1312, 519, 12178, 540, 670, 20302, 267, 543, 519, 2640, 540, 2126, 585, 519, 3644, 563, 1692, 1772, 22031, 22807, 595, 7066, 730, 888, 31714, 945, 616, 1100, 3476, 1210, 10001, 5061, 610, 4568, 949, 4324, 689, 519, 946, 540, 27179, 6527, 2966, 547, 3247, 12093, 540, 519, 22031, 22807, 595, 3644, 269, 1452, 5061, 616, 3810, 2500, 543, 949, 581, 1031, 4805, 610, 538, 4999, 609, 824, 6527, 563, 291, 2607, 338, 1031, 547, 1521, 670, 20302, 1331, 4498, 341, 18223, 267, 744, 569, 338, 1470, 267, 7737, 531, 10972, 267, 543, 966, 773, 330, 4275, 623, 752, 269, 25906, 822, 597, 514, 568, 513, 1776, 6646, 1031, 547, 14443, 10775, 31265, 545, 3679, 630, 11748, 264, 10307, 267, 1586, 4227, 18643, 540, 519, 3644, 563, 8196, 540, 891, 6527, 4805, 610, 538, 4999, 5673, 593, 519, 1268, 779, 2949, 1072, 267, 10194, 4452, 267, 2436, 610, 711, 4963, 9071, 2670, 540, 519, 6797, 814, 1305, 538, 267, 543, 2436, 610, 711, 789, 3136, 547, 6057, 6878, 610, 946, 6878, 693, 1970, 2157, 1282, 2126, 269, 25126, 568, 2808, 1863, 540, 670, 20302, 1310, 789, 1397, 513, 13455, 19274, 6331, 545, 3210, 630, 7224, 3644, 9571, 538, 519, 1973, 264, 585, 3670, 3275, 563, 23921, 548, 1401, 577, 5190, 1306, 589, 6396, 2986, 670, 20302, 10644, 454, 2026, 513, 1505, 540, 2800, 5786, 267, 930, 4872, 723, 1128, 21114, 13549, 5385, 3292, 2966, 547, 2061, 519, 3262, 540, 1973, 13596, 899, 670, 20302, 269, 2290, 1982, 538, 1715, 3840, 1336, 519, 3355, 670, 20302, 9860, 540, 513, 31417, 476, 11011, 260, 1851, 5171, 538, 519, 1982, 269, 901, 1297, 814, 2094, 12628, 547, 476, 6321, 9077, 513, 1713, 6175, 538, 4598, 547, 519, 3644, 689, 3838, 19271, 563, 4415, 13549, 4687, 8051, 585, 3152, 982, 5176, 476, 3583, 260, 540, 22031, 22807, 595, 5563, 267, 3292, 899, 519, 835, 8045, 538, 1715, 3840, 666, 723, 513, 2101, 23833, 1764, 2066, 519, 2136, 2276, 563, 21675, 1280, 10001, 10684, 2422, 454, 2252, 596, 616, 4867, 2502, 538, 10001, 3075, 946, 267, 596, 616, 693, 1164, 1981, 540, 24931, 670, 20302, 269, 10684, 3725, 4725, 3820, 568, 606, 2228, 4199, 2966, 547, 1921, 596, 609, 519, 2200, 267, 3318, 1489, 267, 543, 2963, 2861, 2126, 3681, 547, 2322, 596, 593, 519, 2619, 547, 6051, 269, 13555, 721, 547, 3717, 609, 2576, 538, 6015, 543, 3605, 519, 1082, 2640, 540, 6051, 4098, 2221, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 493, 26109, 489, 0, 22428, 30659, 28117, 519, 3618, 543, 21279, 547, 21933, 30185, 621, 538, 513, 1032, 779, 942, 8259, 1480, 7919, 666, 1265, 519, 10548, 8124, 1297, 585, 2699, 2947, 543, 4544, 2947, 269, 1284, 1223, 22153, 531, 519, 1158, 779, 1655, 8186, 543, 16595, 5904, 267, 543, 1369, 513, 1032, 649, 1223, 4440, 5173, 519, 1871, 269, 1403, 519, 30659, 18796, 519, 10548, 8124, 1297, 585, 2699, 3670, 543, 4544, 3670, 267, 2705, 267, 649, 1131, 723, 1100, 3903, 855, 547, 10131, 513, 840, 3319, 633, 4323, 11607, 26469, 661, 6113, 385, 495, 338, 692, 1012, 10548, 8124, 2338, 1384, 763, 10548, 8124, 1297, 3230, 305, 4433, 19885, 14638, 568, 519, 10545, 8870, 3230, 301, 2330, 971, 602, 1169, 2699, 15918, 826, 7801, 540, 519, 8728, 540, 513, 2347, 3113, 3230, 298, 318, 301, 2330, 593, 3230, 301, 2330, 14622, 3568, 513, 2699, 804, 1664, 540, 2450, 3230, 338, 2330, 610, 513, 4544, 804, 1664, 540, 2450, 3230, 333, 29634, 1012, 661, 6113, 385, 495, 338, 7304, 600, 8124, 11532, 1384, 2330, 305, 7268, 10401, 12101, 10401, 264, 3436, 562, 2330, 585, 782, 3230, 333, 2330, 543, 6695, 10401, 2330, 17598, 1384, 2330, 346, 333, 1422, 577, 5366, 1422, 10401, 348, 1422, 10383, 476, 273, 3867, 272, 268, 3189, 10401, 1422, 577, 5366, 476, 273, 3686, 2999, 476, 272, 9681, 810, 585, 1022, 3230, 333, 2330, 602, 25389, 713, 8635, 267, 649, 666, 2681, 3230, 298, 5332, 2330, 609, 1100, 1395, 29614, 1738, 3230, 298, 18155, 10401, 6525, 780, 1012, 19577, 1384, 4131, 779, 15475, 649, 14477, 2681, 519, 8728, 540, 3230, 298, 5332, 2330, 865, 1022, 6316, 568, 2699, 610, 4544, 609, 3160, 5506, 267, 3230, 335, 284, 1422, 2765, 346, 272, 2410, 273, 6525, 780, 11693, 1022, 1305, 3230, 305, 2330, 540, 6695, 10401, 2330, 14622, 267, 1577, 3230, 288, 318, 305, 2330, 581, 519, 2680, 1141, 3230, 305, 2330, 568, 1395, 29614, 1738, 865, 782, 3230, 3189, 10401, 1422, 577, 5366, 476, 273, 6525, 8728, 616, 519, 1482, 2681, 269, 1306, 972, 616, 1152, 1079, 2081, 547, 2681, 3230, 305, 18079, 519, 5506, 602, 3230, 288, 318, 305, 2330, 4386, 585, 1022, 2016, 3230, 305, 2330, 568, 1384, 2330, 273, 1422, 10383, 476, 273, 13064, 3189, 10401, 1422, 577, 5366, 476, 273, 3686, 9681, 663, 865, 519, 2680, 602, 3230, 298, 5332, 2330, 3568, 513, 1395, 29614, 1738, 3230, 298, 18155, 10401, 6525, 568, 1384, 2330, 303, 315, 15927, 7268, 15927, 24189, 3709, 305, 348, 589, 318, 305, 1422, 15927, 264, 815, 476, 272, 9681, 3602, 3230, 305, 1422, 514, 2715, 314, 272, 19885, 316, 1422, 577, 5366, 1422, 10401, 6525, 780, 3086, 267, 952, 649, 4019, 519, 9769, 3808, 649, 1265, 1384, 2330, 303, 315, 15927, 7268, 15927, 24189, 3709, 305, 348, 589, 318, 305, 1422, 15927, 264, 1422, 19008, 1422, 8999, 318, 305, 623, 10490, 318, 305, 264, 815, 2715, 333, 1422, 577, 5366, 1422, 10401, 348, 1422, 10383, 476, 273, 3867, 272, 268, 3189, 10401, 1422, 577, 5366, 476, 273, 3686, 9681, 810, 649, 949, 17429, 576, 602, 1384, 2330, 346, 333, 1422, 577, 5366, 1422, 10401, 348, 1422, 10383, 476, 273, 3867, 272, 268, 3189, 10401, 1422, 577, 5366, 476, 273, 3686, 2999, 476, 272, 1422, 574, 18680, 681, 7268, 10401, 12101, 10401, 264, 3436, 562, 9681, 553, 713, 10522, 602, 3230, 298, 5332, 2330, 814, 513, 1079, 12258, 1681, 971, 602, 1100, 1016, 12641, 1664, 3230, 298, 18155, 10401, 6525, 568, 1395, 29614, 1738, 269, 0, 258, 3848, 273, 910, 661, 292, 1220, 277, 7913, 5071, 13478, 681, 22462, 987, 4083, 29491, 13718, 1607, 12744, 2982, 3817, 476, 272, 1700, 276, 269, 6178, 909, 547, 2070, 519, 2407, 1543, 780, 7417, 1220, 277, 7913, 5071, 13478, 681, 22462, 987, 4083, 910, 476, 272, 4083, 269, 29491, 10789, 1107, 5623, 5623, 1570, 27284, 29491, 4238, 269, 14216, 1516, 7954, 7215, 689, 5168, 7515, 269, 13008, 590, 8008, 543, 623, 5308, 7215, 269, 13008, 16390, 585, 3541, 1516, 590, 8008, 543, 623, 5308, 7215, 269, 29491, 5772, 885, 269, 22217, 4328, 7954, 7215, 1210, 29491, 9163, 269, 31016, 2795, 7851, 269, 13008, 5136, 8877, 9049, 8008, 779, 543, 12463, 5308, 779, 630, 1007, 3738, 689, 918, 2173, 2355, 269, 13008, 5213, 1406, 1416, 2175, 630, 1007, 3738, 780, 1607, 12744, 814, 17543, 23324, 6810, 269, 6178, 909, 547, 2070, 519, 2407, 4528, 780, 8698, 9509, 11657, 454, 7417, 1220, 277, 7913, 5071, 13478, 681, 22462, 987, 4083, 910, 476, 273, 29491, 7223, 568, 519, 2596, 2979, 1031, 538, 3059, 11387, 543, 5904, 269, 589, 29491, 4756, 3217, 593, 1152, 476, 273, 2418, 281, 2715, 271, 267, 272, 348, 2073, 2715, 307, 267, 293, 9574, 2715, 8133, 267, 3143, 9574, 3092, 269, 1703, 616, 476, 274, 4909, 29491, 4238, 281, 6730, 10758, 10691, 2098, 815, 589, 3852, 485, 645, 2098, 815, 9474, 2098, 815, 589, 266, 289, 2098, 815, 17487, 478, 18266, 7305, 18266, 7305, 18266, 7305, 589, 5168, 3349, 23403, 3977, 5365, 7954, 2418, 585, 1169, 2009, 4999, 540, 3403, 5365, 7954, 2418, 269, 769, 10442, 29491, 7215, 267, 519, 20491, 28762, 8944, 568, 281, 476, 272, 264, 10691, 476, 273, 264, 6730, 476, 274, 264, 10758, 269, 11352, 666, 581, 25436, 17660, 1210, 630, 2560, 15426, 589, 645, 2098, 476, 271, 476, 271, 476, 271, 476, 272, 476, 272, 476, 271, 476, 272, 476, 272, 476, 271, 476, 271, 476, 271, 476, 272, 589, 645, 2098, 476, 271, 476, 271, 476, 271, 476, 272, 476, 272, 476, 271, 476, 272, 476, 272, 476, 271, 476, 272, 476, 272, 476, 272, 589, 2098, 476, 271, 476, 272, 476, 272, 476, 271, 454, 7417, 1220, 277, 7913, 5071, 13478, 681, 22462, 987, 4083, 910, 476, 274, 7151, 281, 570, 667, 570, 595, 674, 645, 570, 589, 815, 815, 815, 815, 2073, 2073, 2073, 1548, 568, 519, 1871, 540, 3738, 630, 3738, 630, 667, 645, 595, 645, 589, 2098, 1341, 1341, 815, 7790, 674, 667, 645, 595, 674, 667, 645, 595, 674, 674, 667, 645, 595, 674, 570, 2098, 815, 1341, 815, 1341, 1341, 815, 1341, 1341, 815, 3738, 630, 3738, 630, 3738, 630, 3738, 630, 3738, 630, 14216, 1516, 20603, 25285, 3245, 18266, 23959, 18266, 7305, 281, 1548, 568, 519, 29491, 4082, 585, 2098, 286, 5565, 6697, 7954, 7215, 666, 581, 6508, 689, 18266, 23959, 281, 476, 272, 264, 5681, 6361, 6261, 20094, 630, 306, 8008, 264, 7215, 281, 11153, 6730, 2474, 10758, 8910, 1927, 267, 552, 3052, 269, 9474, 645, 589, 645, 589, 1341, 1341, 476, 273, 264, 8605, 6361, 4149, 636, 630, 303, 5308, 264, 7215, 281, 11153, 10758, 2474, 6730, 8910, 1927, 267, 552, 3052, 269, 3738, 3738, 263, 630, 645, 589, 645, 589, 1341, 1341, 8752, 1590, 581, 10396, 950, 1312, 17176, 589, 543, 645, 616, 5508, 293, 267, 610, 950, 1312, 540, 873, 616, 10396, 269, 589, 645, 2098, 476, 271, 476, 271, 476, 271, 476, 272, 476, 272, 476, 271, 476, 272, 476, 272, 476, 272, 476, 271, 476, 271, 476, 272, 692, 1607, 12744, 814, 17543, 23324, 6810, 269, 6178, 909, 547, 2070, 519, 2407, 4528, 780, 8698, 9509, 11657, 454, 7417, 1220, 277, 7913, 5071, 13478, 681, 22462, 987, 4083, 910, 476, 275, 16390, 585, 14216, 1516, 590, 8008, 25285, 476, 272, 264, 4855, 1142, 4737, 538, 570, 307, 585, 799, 3977, 568, 476, 272, 630, 4900, 476, 272, 1299, 476, 275, 264, 476, 273, 264, 1280, 1346, 9343, 2328, 606, 6730, 2165, 540, 782, 3403, 4632, 563, 1607, 568, 519, 1439, 540, 519, 12744, 269, 6178, 909, 547, 1569, 519, 1964, 540, 519, 3561, 780, 1012, 901, 4063, 729, 23345, 593, 476, 5400, 270, 6349, 270, 1220, 280, 585, 519, 1576, 661, 4753, 661, 292, 1220, 277, 6026, 676, 7905, 3220, 21993, 817, 574, 1282, 519, 12096, 1412, 5881, 2165, 693, 2817, 2160, 540, 14135, 780, 2162, 8525, 272, 1315, 476, 1626, 692, 6637, 273, 910, 661, 292, 1220, 277, 7913, 5071, 13478, 681, 22462, 987, 4083, 29491, 13718, 1607, 12744, 2982, 3561, 3817, 476, 272, 910, 476, 276, 269, 6178, 909, 547, 2070, 519, 2407, 3561, 780, 8698, 9509, 11657, 454, 16485, 513, 6780, 2243, 910, 21493, 616, 2228, 0, 258, 21414, 519, 1739, 29398, 1384, 9223, 1384, 24066, 10663, 519, 1739, 29398, 1384, 7445, 842, 1422, 2765, 346, 324, 3867, 343, 24828, 3847, 263, 272, 266, 324, 3867, 343, 4153, 2431, 9385, 3847, 263, 273, 266, 324, 3867, 343, 4153, 2431, 14587, 546, 1535, 6911, 11405, 1384, 2414, 6218, 519, 1739, 7533, 1739, 3268, 1384, 4131, 1269, 324, 3867, 343, 13157, 339, 1422, 24126, 1547, 263, 328, 22491, 7445, 23976, 1422, 9507, 346, 324, 23685, 9507, 12757, 3686, 1422, 9507, 18097, 348, 1422, 9507, 12757, 18098, 9507, 18097, 339, 10592, 3086, 692, 7445, 842, 1422, 2765, 346, 324, 3867, 343, 24828, 3847, 263, 272, 266, 324, 3867, 343, 4153, 2431, 9385, 3847, 263, 273, 266, 324, 3867, 343, 4153, 2431, 14587, 546, 1535, 7807, 842, 1422, 2765, 346, 272, 2410, 263, 272, 266, 339, 7565, 273, 266, 339, 14587, 546, 512, 6911, 259, 7807, 842, 1422, 2765, 346, 272, 2410, 263, 272, 266, 339, 14587, 546, 512, 10559, 842, 1422, 2765, 346, 272, 2410, 263, 273, 266, 339, 14587, 546, 512, 6911, 259, 7807, 8421, 1923, 263, 272, 266, 339, 31206, 10559, 8421, 1923, 263, 273, 266, 339, 31206, 266, 322, 6911, 259, 7807, 8421, 1422, 3847, 24689, 2765, 346, 272, 266, 339, 2410, 273, 266, 339, 4153, 2431, 347, 266, 322, 13375, 24560, 8421, 544, 10559, 8421, 562, 7807, 8421, 1422, 2765, 31551, 2410, 333, 4153, 2431, 316, 6911, 259, 7807, 8421, 1422, 3847, 24689, 2765, 346, 272, 266, 324, 3867, 343, 12453, 273, 266, 324, 3867, 343, 14990, 2431, 347, 266, 322, 314, 259, 1210, 18159, 328, 13580, 259, 0, 290, 20975, 692, 4131, 614, 547, 3237, 281, 2911, 827, 20581, 692, 32091, 2385, 10484, 3080, 540, 519, 1883, 7418, 540, 2413, 6128, 568, 922, 2119, 560, 609, 20581, 269, 1306, 3237, 543, 3610, 649, 666, 20006, 2219, 1008, 3183, 2792, 609, 938, 1453, 1210, 20581, 780, 13706, 519, 1739, 1305, 1384, 301, 815, 2715, 272, 267, 476, 273, 267, 476, 274, 267, 2560, 7684, 692, 30860, 602, 715, 3568, 28222, 1082, 2609, 780, 12648, 513, 15410, 540, 715, 602, 5161, 540, 23385, 540, 476, 273, 269, 700, 1115, 1289, 621, 1269, 301, 318, 272, 16859, 259, 301, 318, 272, 284, 1422, 346, 273, 267, 476, 275, 267, 476, 277, 267, 2560, 315, 10592, 30860, 1586, 602, 715, 272, 3568, 12808, 344, 1082, 2609, 269, 8921, 2015, 513, 15410, 540, 715, 272, 602, 3568, 1152, 519, 23385, 540, 476, 274, 269, 700, 1115, 1289, 602, 715, 273, 780, 259, 301, 318, 273, 284, 1422, 346, 277, 267, 476, 1321, 267, 476, 1240, 267, 476, 2190, 267, 2560, 1422, 10592, 22923, 949, 2161, 281, 27355, 1406, 476, 280, 513, 2789, 540, 476, 274, 286, 9701, 621, 711, 581, 538, 1269, 301, 318, 273, 259, 2496, 5591, 269, 5221, 649, 616, 2921, 1346, 23385, 540, 476, 274, 799, 616, 538, 1269, 301, 318, 272, 10608, 9747, 789, 1590, 581, 8195, 23385, 540, 476, 273, 543, 476, 274, 780, 3682, 3865, 532, 899, 713, 649, 666, 1711, 28222, 1082, 5036, 281, 1269, 301, 267, 715, 318, 272, 267, 715, 318, 273, 267, 715, 318, 274, 267, 2560, 14204, 4322, 5036, 616, 29005, 256, 2334, 568, 1269, 301, 259, 3568, 1269, 301, 318, 272, 259, 3568, 1269, 301, 318, 273, 259, 3568, 1269, 301, 318, 274, 259, 3092, 269, 5047, 1142, 540, 873, 3568, 28222, 1082, 2474, 780, 27309, 3582, 281, 1548, 568, 538, 519, 10167, 540, 782, 540, 891, 5036, 286, 2334, 568, 2433, 1018, 568, 1455, 538, 782, 540, 873, 2496, 1607, 2243, 1008, 10280, 519, 1126, 547, 2731, 1589, 827, 20581, 269, 1280, 519, 13113, 2013, 621, 666, 849, 1118, 513, 8799, 2036, 13541, 923, 1966, 1210, 1505, 540, 10014, 543, 17181, 281, 875, 1082, 2338, 689, 476, 272, 547, 476, 1911, 271, 616, 23385, 540, 476, 273, 610, 476, 274, 610, 1312, 780, 1103, 1249, 713, 2063, 4845, 2306, 519, 2875, 5855, 827, 519, 2262, 2048, 528, 9957, 898, 568, 568, 8799, 1747, 547, 6338, 12600, 610, 780, 7804, 269, 1306, 7315, 328, 30605, 7666, 24473, 692, 293, 10133, 267, 4258, 31980, 692, 263, 4942, 6185, 269, 538, 9119, 689, 2160, 540, 16855, 267, 6660, 342, 879, 27365, 267, 7330, 269, 3194, 9314, 281, 2983, 6248, 6828 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1030, 585, 1071, 1030, 538, 2203, 16691, 1030, 338, 318, 20285, 344, 318, 1002, 815, 2203, 4877, 9438, 11583, 994, 311, 15305, 815, 1239, 15305, 18020, 2433, 1724, 2639, 311, 15305, 815, 9470, 518, 6745, 4920, 845, 11583, 15305, 994, 343, 815, 2473, 15305, 18020, 476, 277, 281, 278, 2639, 312, 15305, 815, 1239, 15305, 18020, 476, 1724, 6540, 312, 7272, 9438, 815, 2203, 4877, 9438, 11583, 15305, 2020, 2745, 263, 312, 15305, 994, 2745, 3488, 312, 7272, 9438, 3299, 962, 7272, 9438, 994, 258, 1820, 18828, 6983, 22741, 1723, 1030, 263, 312, 15305, 267, 312, 7272, 9438, 4917, 258, 1820, 263, 312, 17482, 994, 18411, 417, 479, 504, 7511, 418, 30904, 22390, 503, 419, 503, 376, 419, 493, 378, 20069, 418, 30904, 22390, 503, 24731, 28032, 484, 7511, 419, 369, 494, 31563, 15159, 14395, 490, 10429, 357, 13601, 418, 357, 352, 7511, 8147, 22287, 367, 18713, 510, 27381, 510, 18777, 488, 29072, 8147, 419, 369, 494, 31563, 22287, 375, 418, 366, 496, 20069, 18777, 488, 25060, 500, 5405, 505, 12916, 484, 20069, 418, 30904, 22390, 503, 419, 369, 494, 31563, 9463, 486, 15159, 27882, 352, 419, 351, 374, 7511, 454, 272, 4732, 330, 16753, 18263, 509, 420, 359, 359, 29072, 8147, 20881, 503, 22390, 489, 418, 357, 350, 417, 508, 489, 7876, 303, 7511, 418, 494, 491, 14035, 365, 16583, 377, 10533, 372, 21251, 15159, 16583, 372, 16583, 377, 10533, 372, 8147, 22287, 367, 20069, 14035, 504, 22390, 489, 10951, 361, 17295, 364, 31006, 16533, 493, 29219, 8147, 421, 506, 478, 28884, 14035, 504, 418, 361, 350, 417, 502, 501, 420, 358, 355, 25707, 12916, 484, 8147, 417, 28187, 31563, 20069, 14035, 504, 22390, 489, 10951, 361, 17295, 364, 31006, 16533, 493, 29219, 8147, 16533, 365, 15159, 16533, 492, 420, 485, 368, 420, 357, 486, 28997, 501, 419, 369, 494, 31563, 14395, 490, 10429, 357, 13601, 418, 357, 352, 7511, 31308, 509, 18713, 510, 417, 501, 492, 5405, 509, 23989, 419, 353, 374, 20069, 421, 375, 508, 418, 485, 371, 419, 500, 495, 25707, 273, 269, 12571, 490, 418, 30904, 8147, 420, 358, 366, 418, 357, 350, 417, 508, 489, 16533, 491, 18713, 510, 27381, 510, 9463, 500, 29219, 419, 363, 482, 17295, 491, 10533, 493, 418, 482, 509, 8147, 31006, 417, 354, 377, 15159, 20881, 366, 27310, 27882, 372, 13601, 25060, 500, 419, 511, 487, 421, 510, 494, 420, 503, 499, 419, 494, 484, 8147, 20881, 503, 23746, 420, 25693, 18263, 509, 15159, 16533, 492, 420, 485, 368, 24731, 419, 493, 378, 420, 358, 366, 419, 499, 364, 27747, 372, 7511, 13601, 22390, 489, 31308, 509, 18713, 510, 454, 18411, 10823, 19502, 3287, 267, 962, 15305, 267, 1412, 321, 269, 5073, 10823, 19502, 3287, 267, 962, 7272, 9438, 267, 1412, 337, 269, 5073, 10823, 20481, 10797, 18411, 258, 476, 13200, 365, 30678, 24731, 27064, 364, 29072, 30903, 482, 418, 369, 489, 14756, 497, 31563, 14395, 490, 10429, 357, 13601, 21550, 371, 7511, 19764, 480, 27747, 372, 8147, 19867, 478, 23284, 10429, 486, 17958, 28997, 478, 22287, 499, 7511, 12255, 29004, 362, 13213, 505, 27310, 421, 359, 490, 13644, 479, 454, 2745, 3488, 7876, 303, 8802, 31395, 585, 4443, 5073, 311, 17342, 314, 272, 267, 272, 25662, 271, 267, 271, 25662, 274, 267, 275, 25662, 276, 267, 271, 27663, 312, 17342, 272, 267, 274, 267, 271, 267, 272, 2639, 743, 325, 284, 7876, 303, 8802, 31395, 22607, 5200, 9078, 9707, 5334, 3278, 14352, 273, 267, 273, 1070, 716, 10474, 8782, 8421, 2065, 22779, 4449, 476, 13672, 284, 271, 269, 1822, 272, 267, 10946, 318, 3438, 284, 1911, 876, 29679, 565, 591, 8782, 338, 326, 323, 5073, 743, 325, 32265, 11583, 267, 312, 2020, 311, 15305, 17342, 314, 272, 267, 271, 25662, 276, 267, 272, 27663, 312, 7272, 9438, 284, 743, 325, 4877, 9438, 11583, 15305, 994, 2745, 263, 312, 7272, 9438, 994, 2745, 8443, 1723, 1030, 17482, 585, 1071, 1030, 538, 804, 325, 16691, 1030, 338, 318, 7481, 2745, 8443, 1723, 1030, 585, 1071, 1030, 538, 804, 325, 16691, 1030, 338, 318, 7481, 18411, 0, 5814, 26417, 454, 5814, 15259, 454, 1012, 19372, 5811, 25159, 692, 13707, 309, 1774, 15575, 815, 476, 271, 454, 309, 4925, 815, 31460, 309, 1774, 8266, 815, 11713, 310, 27903, 815, 834, 4840, 310, 27903, 19368, 815, 476, 271, 7531, 1012, 674, 21255, 11711, 11202, 543, 8606, 17575, 454, 323, 597, 815, 15259, 29624, 6155, 597, 4067, 263, 1029, 12803, 1029, 994, 12803, 12949, 815, 15259, 29624, 12459, 7765, 5560, 597, 10086, 4910, 1545, 27160, 3005, 12774, 27406, 17210, 5976, 1930, 31526, 12949, 267, 1412, 337, 10807, 607, 26417, 17572, 1384, 825, 26417, 12774, 815, 26417, 18667, 518, 6262, 12364, 17572, 267, 23437, 574, 3438, 6889, 2437, 2020, 825, 12361, 1401, 2850, 10361, 518, 1239, 454, 825, 26417, 318, 3650, 518, 815, 1985, 6262, 12364, 12774, 994, 8931, 825, 585, 4737, 538, 26417, 12774, 912, 13872, 1038, 12361, 21741, 3634, 11192, 966, 4925, 454, 1038, 11192, 309, 1774, 15575, 815, 11192, 309, 1774, 15575, 1341, 476, 272, 3097, 13872, 1038, 12361, 8073, 5903, 540, 15443, 28371, 966, 4925, 454, 1038, 966, 1774, 8266, 6910, 21405, 314, 273, 20285, 1012, 8073, 513, 9218, 547, 512, 958, 966, 4925, 454, 1012, 31230, 998, 966, 1774, 5903, 454, 1721, 15443, 28371, 538, 966, 1774, 8266, 1384, 567, 12361, 1403, 15443, 28371, 568, 538, 519, 9218, 454, 567, 952, 630, 290, 663, 28371, 538, 966, 4925, 17107, 8587, 12361, 5410, 547, 1699, 8917, 1293, 454, 8587, 966, 4925, 314, 290, 663, 28371, 316, 815, 966, 4925, 314, 290, 663, 28371, 316, 1341, 476, 272, 454, 825, 454, 567, 12361, 1403, 15443, 28371, 568, 711, 538, 519, 9218, 454, 567, 3116, 912, 11434, 454, 8587, 12361, 5590, 966, 1774, 4032, 815, 476, 272, 3097, 8587, 966, 4925, 314, 290, 663, 28371, 316, 815, 476, 272, 692, 1012, 20283, 15937, 19243, 454, 2745, 2891, 292, 3005, 11778, 281, 19515, 2745, 2891, 10900, 268, 5602, 2745, 2891, 13707, 966, 4925, 281, 834, 1341, 1193, 263, 13707, 309, 1774, 15575, 4917, 2745, 2891, 10900, 268, 5602, 1721, 1883, 267, 1871, 538, 966, 4925, 29096, 3890, 1384, 825, 1820, 31107, 1341, 834, 281, 834, 1341, 1193, 263, 5180, 630, 1871, 1315, 11192, 309, 1774, 15575, 2608, 476, 1911, 476, 2073, 476, 274, 3738, 3738, 1341, 834, 260, 9497, 1341, 1193, 263, 7407, 264, 1341, 834, 17983, 25589, 825, 952, 1871, 3436, 12736, 1676, 19368, 912, 1038, 12736, 1676, 19368, 815, 1871, 454, 1038, 12736, 1676, 815, 1883, 22562, 2745, 2891, 10900, 268, 5602, 2745, 2891, 310, 27903, 281, 834, 1341, 12736, 1676, 994, 2745, 2891, 10900, 268, 15419, 19638, 1012, 10670, 11483, 309, 19243, 454, 16059, 24786, 815, 15259, 29624, 12459, 7765, 5560, 597, 10086, 26046, 27582, 3005, 318, 24342, 27406, 17210, 5976, 1930, 263, 16059, 24786, 267, 1412, 342, 10807, 607, 26417, 16059, 1384, 825, 1948, 19461, 1125, 26417, 9884, 31581, 454, 825, 26417, 23116, 815, 26417, 9884, 31581, 6262, 12364, 16059, 267, 23437, 574, 3438, 6889, 2437, 994, 8931, 825, 1948, 1948, 3503, 2079, 547, 26417, 3758, 454, 825, 26417, 23116, 9884, 31581, 578, 8443, 257, 292, 3005, 11778, 281, 834, 7481, 825, 26417, 23116, 9884, 31581, 578, 8443, 257, 10900, 268, 257, 7481, 825, 26417, 23116, 9884, 31581, 578, 8443, 257, 13707, 966, 4925, 281, 834, 1341, 1193, 263, 13707, 309, 1774, 15575, 264, 7481, 825, 26417, 23116, 9884, 31581, 578, 8443, 257, 10900, 268, 257, 7481, 825, 585, 1883, 267, 1871, 538, 966, 4925, 29096, 3890, 1384, 1363, 26417, 23116, 9884, 31581, 578, 8443, 4486, 1341, 834, 281, 834, 1341, 1193, 263, 5180, 263, 630, 1871, 1315, 11192, 309, 1774, 15575, 3738, 2608, 476, 1911, 2073, 476, 274, 264, 476, 3738, 1341, 834, 260, 9497, 1341, 1193, 263, 7407, 264, 1341, 834, 17983, 9948, 2020, 1363, 952, 1871, 3436, 12736, 1676, 19368, 912, 17264, 12736, 1676, 19368, 815, 1871, 454, 17264, 12736, 1676, 815, 1883, 22562, 825, 26417, 23116, 9884, 31581, 578, 8443, 257, 10900, 268, 257, 7481, 825, 26417, 23116, 9884, 31581, 578, 8443, 257, 310, 27903, 281, 834, 1341, 12736, 1676, 7481, 825, 26417, 23116, 9884, 31581, 578, 8443, 257, 10900, 268, 257, 8079, 0, 18851, 589, 2364, 541, 17485, 32488, 657, 632, 3288, 1558, 617, 860, 17144, 16948, 3288, 1151, 18676, 11252, 632, 796, 1966, 320, 16948, 682, 518, 796, 562, 14243, 1067, 334, 1303, 3266, 715, 21506, 344, 1608, 4788, 1714, 1267, 5964, 632, 3288, 521, 580, 340, 1304, 324, 1583, 773, 281, 5727, 24653, 5035, 661, 329, 6374, 334, 1428, 6769, 825, 1219, 6449, 8181, 9191, 1345, 8029, 1038, 1780, 1477, 825, 1219, 562, 2163, 3266, 4311, 8029, 8587, 512, 815, 476, 272, 1477, 8587, 524, 272, 815, 476, 272, 1477, 8587, 733, 815, 476, 272, 1477, 8587, 524, 273, 815, 476, 273, 1477, 8587, 562, 25507, 9272, 2891, 532, 516, 572, 796, 1003, 3266, 8442, 3418, 8587, 1247, 562, 283, 273, 6769, 1038, 1820, 2891, 14976, 1003, 3266, 632, 2041, 1583, 25650, 513, 476, 272, 14744, 1038, 562, 25507, 9272, 2891, 842, 25366, 632, 562, 826, 17383, 281, 8442, 3418, 8587, 1247, 733, 283, 333, 6769, 1038, 952, 524, 273, 260, 273, 2525, 271, 6769, 16875, 512, 284, 339, 24179, 272, 14370, 322, 272, 266, 272, 17903, 1038, 3116, 6769, 1363, 512, 284, 23444, 272, 14370, 322, 272, 266, 272, 17903, 1363, 524, 272, 284, 322, 272, 266, 272, 1477, 1363, 524, 273, 284, 322, 273, 266, 272, 1477, 1363, 733, 284, 4186, 266, 272, 1477, 1038, 1820, 6025, 264, 24541, 1363, 1477, 1363, 1477, 324, 16660, 1428, 815, 661, 329, 6374, 334, 1428, 3890, 21506, 324, 16660, 1428, 8542, 2163, 3266, 3890, 8587, 1477, 0, 5035, 661, 329, 6374, 334, 1704, 6769, 825, 1219, 6449, 8181, 9191, 1345, 8029, 1038, 1780, 5897, 825, 1219, 11929, 25333, 4311, 2567, 5897, 1038, 608, 320, 272, 284, 10581, 9272, 2891, 28808, 516, 572, 3288, 711, 320, 1642, 981, 523, 476, 272, 281, 834, 17903, 1038, 608, 320, 273, 284, 10581, 9272, 2891, 28808, 516, 572, 3288, 711, 320, 1642, 981, 523, 476, 273, 281, 834, 264, 10142, 1038, 952, 608, 320, 272, 3436, 476, 8064, 543, 608, 320, 273, 3436, 476, 8064, 6769, 2018, 1820, 2891, 288, 1061, 5964, 14744, 1038, 3116, 6769, 2018, 1820, 2891, 305, 3663, 1794, 5964, 257, 10142, 324, 16660, 1704, 815, 661, 329, 6374, 334, 1704, 14052, 324, 16660, 1704, 269, 2750, 600, 25333, 14052, 0, 5035, 11270, 6769, 825, 1219, 6449, 8181, 9191, 1345, 267, 1297, 8029, 1038, 1582, 8542, 3784, 815, 1297, 1477, 1038, 1582, 6745, 1512, 8217, 815, 1496, 15947, 1038, 1582, 19544, 580, 4554, 318, 3433, 815, 476, 271, 5897, 825, 1219, 1205, 4671, 1512, 4311, 267, 1297, 8029, 1038, 5727, 29177, 1038, 1488, 7714, 6769, 2018, 1297, 630, 4504, 2567, 4994, 585, 799, 512, 1512, 547, 2132, 5897, 1038, 16849, 6769, 2018, 1582, 6745, 1512, 8217, 630, 21328, 307, 1512, 2567, 512, 1512, 1759, 593, 4661, 4994, 5897, 1038, 5727, 1477, 1038, 2132, 1582, 6745, 1512, 8217, 314, 15893, 316, 5897, 825, 1219, 1039, 4311, 267, 512, 1512, 8029, 1038, 5727, 29177, 1038, 1488, 7714, 6769, 2018, 512, 1512, 630, 21328, 307, 1512, 2567, 1007, 512, 1512, 547, 581, 813, 2105, 547, 512, 1512, 8217, 5897, 1038, 5727, 1477, 1038, 1582, 6745, 1512, 8217, 6910, 6025, 1512, 10142, 825, 1219, 547, 11415, 4311, 8029, 1038, 5727, 1477, 1038, 30474, 1820, 5897, 1038, 5727, 1477, 1038, 1820, 2891, 20540, 834, 1341, 1193, 4311, 8542, 3784, 264, 1341, 834, 10900, 268, 6889, 10142, 825, 1219, 1205, 20189, 580, 4554, 318, 3433, 4311, 8029, 1038, 5727, 1477, 1038, 30498, 519, 5207, 2557, 856, 540, 519, 512, 1512, 8217, 5897, 1038, 5727, 1477, 1038, 585, 512, 1512, 538, 1582, 6745, 1512, 8217, 6769, 2018, 952, 512, 1512, 10947, 318, 3433, 3890, 568, 7183, 6769, 3546, 3136, 1477, 2018, 8640, 512, 1512, 10947, 318, 3433, 3890, 3436, 1582, 19544, 580, 4554, 318, 3433, 6769, 3546, 1582, 19544, 580, 4554, 318, 3433, 815, 512, 1512, 10947, 318, 3433, 14052, 0, 258, 5623, 281, 3097, 258, 8073, 513, 1599, 1572, 26250, 14061, 3097, 258, 3503, 476, 274, 1820, 6898, 3330, 519, 1599, 563, 258, 11910, 519, 26250, 3890, 1599, 609, 3403, 543, 2196, 707, 3009, 780, 3698, 26250, 28442, 2187, 825, 1820, 6600, 257, 15916, 2715, 4067, 348, 5602, 825, 1820, 2891, 1692, 616, 596, 19515, 825, 1820, 2891, 2710, 596, 1404, 25319, 5602, 326, 22901, 2891, 303, 571, 9109, 8442, 8528, 258, 834, 303, 571, 9109, 257, 568, 4661 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 519, 10504, 779, 1686, 267, 543, 741, 7418, 538, 2127, 971, 607, 4108, 9518, 3949, 267, 5989, 1646, 267, 543, 10350, 3136, 547, 581, 25343, 543, 6594, 547, 713, 1554, 269, 0, 307, 841, 326, 908, 267, 538, 519, 3510, 540, 14590, 267, 4016, 547, 519, 18977, 1569, 540, 606, 1367, 883, 513, 6870, 3148, 610, 9744, 676, 1739, 9244, 3297, 513, 14468, 1268, 269, 901, 1505, 7518, 1080, 1367, 2932, 543, 1514, 1374, 607, 10353, 547, 7463, 16426, 547, 2744, 1569, 547, 16876, 2127, 269, 29114, 326, 908, 568, 513, 18102, 540, 15629, 3354, 21556, 602, 666, 20476, 664, 519, 22637, 267, 8699, 267, 543, 8244, 540, 11213, 543, 6213, 1344, 543, 7221, 563, 763, 23350, 540, 2766, 326, 908, 568, 8547, 593, 29227, 6015, 543, 29227, 519, 3339, 31007, 540, 606, 1367, 547, 4163, 3255, 1930, 585, 519, 1866, 610, 547, 2061, 30925, 269, 1323, 18977, 1367, 949, 7654, 1246, 5702, 3297, 606, 17101, 9441, 1247, 789, 4283, 513, 7923, 3148, 267, 1236, 6235, 7127, 21560, 971, 607, 1883, 15258, 3988, 610, 1979, 6248, 1085, 22395, 269, 2991, 3330, 267, 519, 2766, 326, 831, 666, 5732, 10333, 6213, 543, 11213, 1702, 267, 1949, 267, 610, 2168, 2200, 1510, 2953, 28431, 563, 307, 841, 326, 908, 6799, 8101, 3354, 4220, 547, 8041, 267, 607, 621, 666, 6157, 1291, 547, 1702, 23563, 267, 17403, 267, 26453, 582, 720, 267, 610, 18977, 946, 540, 3908, 2127, 269, 898, 14944, 1149, 519, 1494, 1890, 540, 1569, 1205, 513, 17945, 593, 3527, 543, 949, 20476, 664, 519, 2949, 3106, 14302, 540, 606, 3919, 269, 5015, 267, 2766, 326, 908, 13685, 949, 1205, 29462, 610, 11389, 19959, 267, 2870, 873, 2352, 547, 2697, 543, 11574, 563, 1805, 25891, 2766, 326, 908, 3217, 513, 3818, 1922, 14239, 1505, 602, 2882, 4702, 267, 5773, 267, 543, 5234, 4656, 269, 24371, 949, 2936, 7127, 1205, 513, 17945, 593, 2553, 267, 971, 607, 585, 3236, 2490, 560, 3796, 267, 16051, 571, 1186, 267, 610, 3354, 20038, 267, 547, 10238, 527, 7127, 547, 14468, 4600, 1152, 269, 5047, 267, 3106, 4566, 1590, 5693, 3313, 2553, 585, 3850, 946, 540, 6870, 2694, 543, 5031, 519, 2956, 540, 28858, 543, 19169, 609, 3354, 10873, 563, 1805, 3530, 9637, 2866, 568, 2565, 585, 17527, 2766, 326, 908, 13685, 269, 20709, 1058, 2731, 581, 10995, 827, 519, 12178, 540, 2766, 326, 908, 267, 15695, 547, 1966, 14542, 2043, 12394, 547, 1205, 7127, 267, 543, 6273, 547, 1867, 19035, 2932, 610, 4027, 9270, 547, 4998, 8128, 269, 16453, 3106, 3007, 6044, 786, 948, 24772, 891, 2035, 543, 7668, 5520, 547, 1685, 606, 3742, 1909, 538, 4509, 2168, 3354, 563, 12234, 267, 4213, 1590, 4749, 6268, 543, 22010, 741, 15629, 3106, 5773, 547, 2232, 6932, 6937, 543, 16426, 269, 901, 1223, 1331, 11264, 1981, 10526, 267, 9001, 3354, 32116, 267, 543, 12570, 519, 7145, 540, 3742, 8060, 269, 1635, 7683, 2810, 2168, 3354, 2553, 267, 3906, 949, 1548, 568, 2766, 326, 908, 538, 6880, 3354, 2149, 741, 2200, 543, 11574, 519, 4960, 540, 2766, 326, 908, 13685, 563, 1103, 5758, 267, 2766, 326, 908, 568, 2731, 513, 8101, 4027, 6161, 585, 3549, 267, 607, 621, 666, 24183, 1569, 1852, 5773, 543, 1267, 538, 18977, 1569, 547, 6213, 543, 11213, 2127, 269, 16473, 532, 2766, 326, 908, 3340, 513, 3575, 540, 4702, 267, 4507, 267, 543, 9441, 6284, 547, 3605, 543, 11574, 1761, 23563, 269, 1635, 7598, 7347, 15629, 3106, 2409, 543, 5009, 513, 6197, 540, 3106, 9637, 267, 4213, 949, 2569, 519, 8594, 540, 2766, 326, 908, 3871, 543, 9718, 741, 2200, 689, 18977, 1569, 269, 0, 12867, 723, 1634, 602, 513, 3668, 540, 2298, 3207, 666, 2333, 513, 1268, 779, 1981, 540, 3987, 269, 1548, 814, 7283, 513, 9814, 267, 2705, 267, 568, 1946, 563, 3086, 267, 1007, 4681, 689, 513, 2319, 540, 3207, 3744, 693, 519, 2160, 540, 4993, 267, 20588, 267, 616, 6251, 547, 606, 2626, 269, 634, 3173, 723, 20114, 513, 1761, 7271, 538, 3425, 602, 6941, 875, 543, 1946, 2620, 1606, 2748, 2634, 6329, 693, 3781, 616, 2111, 547, 10038, 519, 1560, 779, 8417, 547, 7378, 267, 799, 538, 2490, 10607, 1973, 4006, 1852, 519, 1985, 1554, 563, 763, 3173, 2161, 713, 568, 606, 3078, 4434, 1317, 3207, 568, 513, 1110, 16666, 6197, 3815, 602, 1223, 1631, 581, 1031, 607, 851, 540, 513, 9354, 543, 1928, 1652, 7755, 9417, 2126, 585, 1346, 609, 1164, 1973, 4006, 610, 7392, 476, 273, 3987, 563, 14722, 849, 7074, 606, 3606, 4324, 16310, 519, 1761, 1007, 2964, 2065, 13374, 563, 763, 2319, 779, 4681, 941, 3370, 2221, 538, 519, 4760, 8426, 18614, 6925, 563, 2690, 1296, 267, 3173, 723, 6594, 875, 519, 23993, 540, 1875, 268, 1905, 573, 3750, 3350, 3207, 838, 785, 956, 543, 2620, 267, 3500, 2634, 6329, 5330, 539, 547, 606, 7357, 1114, 1599, 2443, 602, 540, 1565, 543, 3965, 269, 11569, 267, 519, 1482, 2319, 540, 17459, 20588, 3173, 5892, 1336, 602, 2620, 1606, 2748, 2634, 6329, 4824, 519, 2702, 540, 519, 28481, 25283, 2443, 519, 851, 540, 519, 2634, 2404, 609, 1565, 2443, 547, 11677, 1344, 563, 3719, 713, 1007, 1382, 13976, 593, 513, 476, 1708, 272, 887, 4823, 1353, 543, 8761, 513, 3209, 543, 5892, 11389, 322, 1758, 1242, 1909, 585, 891, 5916, 2634, 6329, 538, 3425, 950, 621, 2501, 547, 519, 2565, 15629, 1599, 540, 1973, 4006, 2359, 563, 763, 17459, 20588, 3173, 1101, 8947, 3207, 1239, 538, 513, 1895, 540, 476, 7785, 2043, 269, 1358, 1336, 602, 713, 1880, 13745, 1305, 540, 2620, 1606, 2748, 2634, 6329, 10567, 1985, 6377, 7280, 1852, 267, 1256, 1310, 9013, 585, 824, 2188, 971, 607, 2085, 267, 4008, 543, 519, 8653, 543, 2298, 540, 3207, 563, 9202, 267, 519, 2319, 1287, 1305, 856, 547, 2263, 519, 27312, 13374, 602, 1522, 2491, 519, 4276, 1063, 891, 2620, 1606, 2748, 2634, 6329, 11488, 513, 5365, 1524, 883, 519, 1560, 267, 6038, 17782, 519, 7939, 540, 1973, 7280, 563, 763, 4681, 689, 519, 2319, 7866, 606, 11200, 532, 1305, 540, 3268, 602, 1223, 948, 2491, 875, 543, 1946, 891, 2620, 1606, 2748, 2634, 6329, 616, 1644, 547, 9120, 1973, 4006, 1852, 269, 3689, 267, 789, 1336, 602, 6793, 543, 811, 7928, 23993, 540, 519, 2620, 1606, 2748, 2634, 6329, 10567, 513, 6467, 538, 519, 1560, 779, 8401, 1062, 1533, 883, 519, 811, 844, 625, 1417, 543, 22196, 7936, 267, 1572, 519, 8934, 2096, 20627, 8401, 1062, 269, 1358, 6027, 602, 1689, 538, 519, 1560, 543, 519, 6521, 547, 713, 1970, 3613, 816, 1533, 1210, 2295, 2557, 13260, 607, 513, 21285, 563, 9202, 267, 519, 2319, 5828, 922, 3007, 547, 519, 3803, 1900, 540, 1973, 4006, 3666, 563, 763, 3173, 2417, 4362, 602, 713, 2620, 3207, 6467, 547, 519, 22196, 7936, 540, 519, 8401, 1062, 2417, 10567, 606, 2799, 8417, 540, 519, 1560, 547, 519, 7280, 15696, 6819, 9449, 1572, 7378, 267, 799, 4051, 338, 2281, 547, 10110, 7280, 689, 519, 18072, 267, 7303, 513, 18111, 614, 1190, 1973, 4006, 21782, 563, 6546, 779, 3226, 1271, 585, 1004, 3843, 547, 1394, 2476, 689, 5409, 16744, 20945, 543, 7392, 476, 273, 3987, 563, 24685, 519, 5122, 11979, 540, 3207, 693, 3781, 267, 972, 568, 513, 3126, 540, 4448, 12205, 267, 971, 602, 2620, 1606, 2748, 2634, 6329, 751, 25393, 513, 973, 531, 12299, 543, 22196, 540, 707, 8401, 1062, 519, 1739, 1554, 2223, 21701, 1767, 269, 968, 1607, 2864, 14952, 748, 2404, 25695, 1198, 593, 707, 8401, 1062, 568, 1287, 2404, 609, 513, 6450, 2393, 540, 707, 1560, 779, 8417, 547, 7378, 267, 4611, 538, 513, 811, 2500, 1852, 540, 1973, 4006, 519, 1985, 1554, 3034, 763, 3173, 13604, 556, 6088, 519, 1482, 2360, 676, 6313, 513, 5094, 1895, 540, 476, 272, 267, 12010, 5171, 563, 763, 3744, 1767, 519, 1382, 568, 3226, 3078, 2016, 519, 1761, 4791, 4644, 1296, 1524, 519, 1899, 269, 12128, 5574, 2907, 593, 519, 2344, 666, 3006, 581, 2352, 585, 2550, 547, 15666, 547, 269, 634, 1482, 568, 3020, 540, 519, 5227, 6197, 2242, 267, 1519, 1114, 4189, 6208, 543, 2834, 3635, 563, 28036, 267, 2705, 267, 568, 513, 7361, 1928, 1652, 1995, 585, 1034, 1004, 563, 4517, 1247, 3207, 568, 711, 2469, 547, 581, 519, 2582, 9059, 16886, 267, 519, 19175, 540, 1007, 4066, 602, 666, 9108, 7369, 2634, 6329, 1282, 2620, 3207, 602, 713, 1007, 1382, 814, 20114, 949, 948, 1004, 1732, 4383, 741, 1973, 4006, 269, 2334, 267, 519, 1382, 2319, 1767, 267, 568, 2601, 585, 4126, 563, 305, 777, 3873, 601, 966, 718, 520, 267, 966, 344, 5448, 667, 269, 20961, 267, 15623, 623, 269, 21701, 269, 18509, 3990, 1480, 12008, 2634, 30335, 4786, 15672, 1560, 7280, 27921, 269, 8426, 18614, 6925, 267, 476, 1708, 274, 282, 476, 6200, 1911, 20396, 281, 476, 1015, 269, 6200, 277, 10768, 11859, 322, 3944, 269, 1708, 274, 269, 6200, 1911, 454, 17206, 540, 4993, 1107, 20588, 269, 630, 1708, 274, 267, 5147, 476, 278, 1040, 12213, 1606, 2748, 2634, 6329, 3589, 1973, 4006, 1852, 269, 3163, 291, 2905, 269, 8158, 5147, 476, 1556, 267, 476, 1708, 274, 689, 8940, 4732, 857, 10642, 2905, 2593, 22812, 548, 1162, 270, 1708, 274, 270, 5881, 270, 15996, 3583, 278, 14631, 279, 2918, 21867, 454, 20124, 676, 25909, 744, 2513, 523, 514, 990, 689, 623, 1410, 1564, 281, 4179, 2517, 4178, 269, 24128, 1564, 2593, 270, 874, 9369, 11320, 2674, 1606, 2748, 532, 268, 280, 3374, 6507, 278, 270, 0, 2414, 4585, 519, 10916, 267, 21189, 267, 979, 547, 4065, 3436, 717, 843, 619, 593, 28652, 454, 289, 1248, 1639, 4154, 267, 1927, 609, 30437, 13049, 6438, 9910, 2137, 267, 11225, 26149, 269, 634, 8675, 6645, 721, 602, 26149, 1797, 547, 968, 754, 578, 609, 11958, 4800, 543, 19799, 609, 6633, 1639, 4154, 543, 13085, 4778, 1848, 1715, 3840, 7376, 22526, 26728, 742, 267, 835, 540, 2221, 779, 19466, 22251, 32514, 2209, 267, 814, 17820, 693, 519, 8786, 327, 10216, 2160, 7467, 267, 634, 5840, 7467, 267, 543, 1034, 5063, 693, 519, 21546, 7732, 543, 7467, 269, 2701, 814, 3812, 1896, 9691, 28601, 8874, 593, 519, 4480, 540, 12377, 26149, 269, 2701, 568, 1634, 585, 1200, 4207, 946, 540, 519, 5159, 685, 2553, 540, 519, 1390, 25139, 19744, 543, 11193, 22251, 269, 769, 713, 6881, 267, 22526, 9727, 875, 1352, 18271, 3504, 2409, 543, 2326, 547, 1711, 4207, 22251, 269, 2701, 6227, 575, 843, 532, 2553, 267, 519, 3096, 540, 6063, 331, 636, 267, 543, 519, 3498, 540, 3140, 543, 2413, 23416, 269, 0, 31339, 3206, 568, 711, 1175, 513, 2770, 27918, 1523, 282, 621, 779, 513, 3532, 14820, 602, 666, 3648, 2087, 707, 2790, 1072, 267, 3347, 267, 543, 2949, 1134, 5630, 269, 589, 2318, 1589, 518, 5784, 2591, 607, 3255, 267, 5088, 806, 27277, 267, 543, 15387, 6043, 538, 519, 3068, 540, 14488, 269, 2755, 621, 949, 711, 581, 2653, 547, 1689, 707, 2219, 3270, 16074, 267, 14237, 513, 2318, 14820, 568, 513, 26656, 20089, 602, 666, 1291, 547, 513, 18668, 543, 811, 16180, 1272, 269, 769, 713, 2376, 267, 649, 3580, 2263, 4052, 3268, 547, 1831, 513, 2318, 1589, 518, 563, 763, 1101, 1900, 2509, 4742, 513, 2318, 1589, 518, 568, 1582, 18221, 269, 6875, 513, 4090, 547, 2992, 593, 707, 1699, 2219, 3270, 543, 3929, 6114, 269, 3657, 596, 12155, 547, 2942, 1582, 2389, 1779, 610, 533, 612, 574, 2065, 5784, 286, 17291, 891, 21274, 568, 519, 1101, 1900, 538, 20408, 873, 269, 5901, 513, 4760, 547, 2594, 707, 4555, 543, 4664, 267, 543, 946, 713, 607, 513, 1907, 547, 5431, 1022, 18596, 2942, 3270, 563, 20806, 3188, 20134, 32438, 454, 5629, 596, 4076, 4857, 2942, 2219, 3270, 267, 4161, 873, 269, 9105, 3054, 2436, 891, 4555, 616, 1759, 593, 4641, 610, 952, 789, 616, 519, 1587, 540, 19450, 12194, 610, 12886, 269, 10705, 267, 2942, 4555, 616, 13128, 6547, 547, 21500, 267, 543, 789, 949, 711, 2992, 519, 4890, 3510, 269, 1635, 15819, 891, 4555, 267, 596, 666, 2253, 547, 1201, 9347, 873, 538, 513, 811, 2318, 1769, 563, 3080, 2500, 1259, 547, 6536, 25273, 568, 676, 8026, 14696, 3232, 269, 6875, 513, 1906, 3764, 1142, 1554, 547, 2992, 593, 519, 1919, 596, 2461, 9684, 995, 585, 269, 901, 2241, 3635, 666, 6521, 707, 1445, 689, 1018, 779, 15877, 538, 707, 1272, 547, 1018, 596, 2907, 723, 267, 5009, 513, 811, 23904, 19773, 563, 20776, 1037, 23126, 609, 30142, 6638, 454, 763, 2754, 596, 1832, 814, 513, 1713, 1764, 593, 707, 14820, 269, 28259, 3054, 609 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 267, 14971, 1753, 3575, 5505, 949, 3442, 547, 2263, 3384, 513, 15040, 2511, 602, 30193, 741, 13144, 689, 1346, 540, 9905, 543, 4648, 7567, 269, 901, 20089, 1522, 4125, 17975, 4540, 27825, 267, 632, 24554, 532, 2757, 12043, 267, 610, 6427, 532, 7357, 3312, 15885, 602, 1219, 344, 15007, 269, 21894, 2619, 22002, 267, 3314, 602, 5876, 29263, 8015, 10148, 282, 3976, 267, 9591, 2312, 6724, 630, 324, 3052, 1421, 9053, 6891, 4433, 1070, 23163, 8137, 10659, 267, 3077, 5304, 264, 16881, 5059, 1361, 566, 543, 11729, 23887, 2164, 780, 309, 7656, 269, 590, 25703, 6184, 17508, 281, 7734, 267, 6732, 8249, 267, 3718, 10914, 267, 543, 15638, 692, 2414, 2611, 813, 337, 2213, 540, 2872, 7835, 543, 2844, 5571, 6667, 267, 1992, 13951, 540, 513, 21318, 540, 2200, 11593, 3015, 538, 2221, 781, 10562, 1158, 269, 11412, 21077, 1820, 12326, 630, 324, 3052, 1421, 1955, 321, 32079, 18225, 267, 623, 4875, 1070, 3059, 5867, 630, 324, 3052, 1421, 17749, 6589, 267, 21075, 1070, 3872, 11925, 267, 543, 21044, 2621, 2709, 15417, 2666, 585, 12423, 3209, 2093, 267, 28798, 1983, 267, 543, 13033, 609, 899, 16490, 2043, 269, 5015, 267, 11504, 13820, 902, 543, 15976, 2488, 3255, 547, 3732, 4686, 7215, 267, 4497, 2047, 609, 1253, 650, 619, 267, 3094, 655, 5474, 267, 543, 1786, 9955, 267, 543, 11240, 538, 5996, 20190, 4694, 12742, 3411, 4310, 609, 3838, 15131, 780, 21197, 269, 19484, 13751, 19047, 543, 13786, 1043, 6796, 13756, 692, 15563, 267, 3743, 2359, 540, 513, 1753, 3046, 19329, 4656, 540, 2199, 6042, 12044, 4568, 4616, 543, 9042, 267, 607, 1134, 607, 15984, 547, 5683, 4808, 5009, 2922, 18399, 269, 11408, 13182, 10220, 609, 4143, 4031, 17640, 547, 7674, 1295, 832, 267, 16475, 1514, 19771, 267, 543, 7829, 5732, 883, 343, 5344, 14538, 269, 20074, 24534, 4507, 3823, 6283, 8925, 267, 11280, 10256, 267, 543, 20697, 10473, 7512, 20208, 543, 28863, 1996, 28824, 13685, 269, 11086, 267, 14237, 513, 10639, 585, 1178, 4109, 24756, 12082, 538, 13533, 19642, 10597, 2949, 9547, 543, 11942, 9434, 8823, 1851, 29123, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 5649, 344, 585, 513, 4235, 286, 630, 8170, 519, 23931, 610, 1875, 17038, 4022, 545, 3099, 24047, 1924, 616, 649, 269, 1809, 875, 1058, 649, 6006, 938, 1753, 13063, 585, 476, 1708, 271, 543, 3564, 286, 8080, 547, 14173, 1013, 12708, 338, 281, 4446, 9990, 267, 513, 3391, 630, 5228, 721, 543, 513, 32263, 8470, 540, 4966, 264, 547, 519, 1360, 1655, 14420, 267, 9174, 267, 4508, 528, 267, 10591, 267, 543, 811, 563, 4537, 5792, 547, 519, 772, 2529, 269, 538, 14023, 730, 11149, 547, 2327, 922, 3039, 11945, 543, 9932, 323, 1168, 5283, 517, 10366, 616, 607, 4195, 543, 922, 838, 761, 345, 1465, 568, 607, 7524, 607, 789, 616, 538, 17577, 267, 15550, 14833, 7638, 1372, 568, 4990, 540, 899, 519, 7657, 1819, 521, 3881, 10045, 540, 519, 9174, 1158, 269, 834, 21132, 26546, 16134, 568, 851, 540, 1018, 2306, 621, 865, 24253, 2443, 543, 922, 1970, 4568, 2306, 621, 3501, 585, 606, 693, 25571, 6126, 5662, 2437, 3081, 667, 1014, 324, 563, 306, 22324, 8050, 568, 519, 1747, 547, 979, 585, 1871, 538, 2699, 9174, 267, 543, 713, 8631, 814, 1044, 28761, 1390, 21305, 1310, 21305, 269, 898, 781, 519, 2186, 540, 2295, 344, 267, 9237, 267, 2927, 640, 2699, 2443, 609, 10366, 540, 3109, 22269, 267, 726, 4548, 267, 543, 513, 20726, 540, 642, 14489, 267, 543, 2614, 512, 2335, 514, 547, 1796, 909, 547, 513, 3276, 3455, 2443, 602, 3884, 1405, 3618, 1606, 1002, 18146, 267, 855, 596, 9364, 2141, 581, 19914, 547, 1265, 538, 707, 9174, 11110, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 12709, 4446, 12708, 338, 257, 607, 851, 540, 834, 23733, 1315, 30094, 1137, 1315, 15850, 545, 1315, 19258, 2056, 1299, 595, 1442, 339, 5661, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 3848, 476, 1015, 281, 634, 29055, 2622, 540, 11982, 2439, 15916, 972, 267, 2104, 6705, 543, 3744, 256, 5620, 596, 2479, 11074, 547, 1589, 827, 1141, 707, 1426, 2501, 689, 286, 1215, 1281, 621, 1332, 267, 543, 875, 798, 649, 2327, 972, 781, 2614, 547, 979, 1472, 585, 3025, 286, 2334, 781, 1141, 6683, 2501, 538, 256, 898, 781, 811, 982, 1175, 9544, 5452, 282, 621, 781, 513, 4241, 2257, 602, 2337, 3049, 519, 1158, 780, 12441, 596, 917, 602, 6683, 814, 1044, 1898, 547, 1480, 10340, 585, 5215, 540, 1296, 286, 7982, 1287, 267, 1004, 4121, 676, 3257, 910, 789, 23125, 856, 799, 2371, 8057, 1655, 538, 741, 1858, 543, 875, 547, 7556, 873, 269, 4653, 267, 1919, 616, 513, 3787, 811, 1950, 269, 2060, 8441, 538, 2029, 543, 2257, 267, 8105, 814, 1831, 513, 7463, 2361, 2407, 540, 1007, 8906, 7996, 547, 4755, 2439, 5331, 1373, 2111, 547, 948, 1711, 1732, 2081, 547, 1332, 7031, 1247, 7863, 938, 1604, 693, 519, 1482, 942, 269, 16319, 7168, 3579, 267, 1318, 286, 4270, 267, 3478, 513, 2362, 2069, 538, 6683, 666, 1930, 9885, 547, 891, 6909, 3255, 269, 2290, 971, 4110, 568, 1572, 513, 834, 22913, 781, 538, 11982, 2437, 4481, 513, 9457, 540, 3163, 538, 11982, 630, 5960, 322, 1040, 2913, 781, 2263, 1018, 2306, 713, 4110, 865, 15813, 2439, 5575, 1055, 267, 1577, 781, 2911, 827, 519, 9457, 540, 3163, 538, 11982, 630, 5960, 322, 264, 1107, 621, 4992, 11141, 1317, 621, 4959, 256, 1323, 9049, 322, 3947, 596, 513, 4396, 1620, 540, 1585, 3584, 1369, 6683, 267, 899, 3037, 1072, 267, 3662, 1416, 267, 7693, 2504, 267, 543, 2067, 4199, 2359, 269, 1635, 4974, 782, 891, 2127, 1927, 267, 596, 1205, 513, 2462, 1790, 27348, 2070, 540, 6683, 607, 513, 2898, 269, 9578, 267, 2348, 3376, 1702, 2306, 596, 2706, 3407, 950, 2324, 593, 6887, 610, 6061, 1483, 8996, 2042, 2439, 3086, 267, 596, 1522, 4898, 267, 1946, 1131, 2576, 1616, 547, 1353, 6683, 693, 971, 513, 1164, 1377, 286, 4279, 2243, 256, 3371, 616, 930, 4128, 1384, 272, 269, 20885, 281, 1284, 991, 547, 1265, 2081, 547, 3132, 1426, 602, 4465, 1405, 2800, 938, 4541, 269, 4804, 4359, 2553, 998, 606, 9049, 322, 1982, 666, 4001, 596, 875, 547, 1020, 10357, 7888, 3435, 563, 273, 269, 5253, 8232, 281, 9894, 596, 917, 602, 5176, 476, 277, 3445, 2929, 1004, 5001, 1869, 1810, 1405, 723, 2614, 547, 3548, 286, 24356, 6683, 666, 16491, 596, 609, 2645, 547, 8396, 14000, 543, 2087, 1569, 547, 14312, 1426, 585, 2950, 10876, 563, 274, 269, 16743, 281, 1715, 4066, 616, 7683, 6932, 538, 6683, 269, 15775, 606, 9049, 322, 2636, 596, 547, 4685, 2620, 883, 5969, 12967, 1382, 543, 1451, 20250, 827, 14262, 18563, 5935, 519, 2872, 563, 275, 269, 19396, 19662, 281, 589, 9457, 781, 4110, 10741, 909, 11995, 7399, 538, 1312, 1857, 543, 4357, 9922, 269, 1411, 1223, 960, 585, 2229, 3906, 5009, 5100, 8105, 2853, 267, 1875, 2889, 22327, 8165, 2518, 14000, 267, 610, 1256, 10509, 3549, 3384, 5499, 989, 686, 1790, 20094, 2439, 3383, 267, 875, 798, 596, 2965, 661, 27073, 835, 540, 891, 16681, 5232, 286, 15380, 267, 1310, 18138, 1164, 1153, 267, 1053, 7390, 2852, 585, 2185, 1296, 547, 3489, 513, 25328, 781, 4110, 269, 3973, 267, 952, 789, 3442, 547, 3136, 1565, 267, 789, 4019, 547, 10927, 3506, 5356, 9049, 322, 3292, 269, 4495, 7608, 267, 789, 6108, 1776, 1079, 1296, 2921, 7463, 6030, 267, 10647, 1382, 3785, 267, 543, 8600, 585, 513, 3803, 981, 1572, 513, 5098, 269, 1809, 3314, 267, 2182, 960, 17188, 1055, 267, 2523, 950, 621, 5012, 547, 1818, 513, 2318, 3017, 538, 519, 1158, 2439, 1103, 3932, 267, 6683, 568, 1454, 811, 982, 726, 12976, 4610, 543, 14450, 2371, 269, 898, 781, 513, 4105, 3621, 9015, 6131, 547, 8023, 3395, 5095, 30396, 269, 623, 2720, 5224, 513, 9457, 540, 3163, 538, 11982, 630, 5960, 322, 264, 1797, 11836, 513, 2146, 8149, 547, 4466, 3860, 3435, 585, 2518, 2591, 269, 1924, 1985, 942, 596, 1694, 1524, 585, 12129, 267, 5660, 782, 519, 5863, 1004, 3297, 707, 7594, 543, 2015, 4742, 835, 3054, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 22913, 779, 26440, 4181, 538, 11982, 454, 13070, 3472, 675, 814, 1279, 1044, 519, 22449, 540, 1082, 7239, 1472, 519, 1158, 269, 769, 2487, 1296, 267, 2705, 267, 519, 2361, 814, 7960, 547, 2743, 519, 7569, 540, 513, 6385, 4657, 1158, 269, 3245, 4264, 6683, 2853, 547, 1426, 3354, 267, 1346, 945, 11654, 11678, 538, 6683, 1223, 581, 26405, 547, 1118, 513, 1713, 1764, 593, 938, 4541, 563, 3080, 1259, 547, 2744, 519, 1702, 543, 1983, 2877, 547, 581, 851, 540, 713, 6422, 2872, 568, 676, 13844, 513, 27587, 538, 11982, 269, 901, 2376, 7710, 519, 2640, 540, 513, 4487, 779, 4110, 538, 6683, 543, 1018, 621, 1522, 1491, 547, 7118, 835, 563, 18662, 338, 609, 27587, 538, 11982, 15789, 454, 15650, 540, 16581, 3163, 9457, 779, 23422, 15789, 454, 763, 1158, 540, 6694, 2069, 3091, 606, 5044, 540, 4487, 779, 3292, 267, 1142, 2519, 593, 1114, 3344, 540, 519, 2361, 563, 14197, 6694, 2257, 4487, 779, 4110, 3292, 454, 763, 9457, 540, 3163, 538, 11982, 630, 5960, 322, 264, 568, 513, 11684, 4110, 602, 2488, 513, 2178, 5748, 538, 6694, 9443, 269, 901, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 898, 729, 519, 4832, 540, 476, 10082, 277, 267, 543, 2947, 13085, 2367, 941, 2324, 2182, 538, 513, 9602, 4055, 269, 5484, 15284, 267, 4352, 2356, 2407, 540, 1648, 267, 1185, 1044, 30281, 1524, 676, 1945, 1572, 30456, 269, 1261, 7948, 1405, 6443, 1010, 2828, 1419, 267, 855, 950, 646, 1705, 267, 646, 1031, 1010, 18854, 543, 7326, 547, 1118, 1919, 1732, 269, 901, 1895, 540, 2828, 729, 2324, 1927, 547, 1711, 1945, 1360, 1271, 910, 513, 17083, 540, 7115, 2439, 3080, 1554, 267, 1247, 5484, 729, 16889, 267, 7338, 16962, 4547, 936, 930, 4574, 4904, 609, 4190, 1913, 30418, 5191, 689, 4279, 6628, 269, 5484, 1224, 1346, 3515, 5402, 543, 1336, 2081, 547, 2087, 873, 2479, 865, 5594, 282, 1818, 2386, 1169, 2262, 18886, 267, 1175, 899, 1142, 5642, 538, 938, 1560, 6927, 1256, 1498, 649, 666, 1405, 1294, 873, 782, 780, 7661, 267, 1310, 1454, 960, 267, 789, 3357, 909, 609, 519, 3501, 3561, 543, 4956, 547, 2671, 621, 609, 3025, 593, 519, 8772, 1554, 540, 5147, 269, 1358, 3957, 621, 519, 16672, 540, 14412, 269, 1306, 1004, 10356, 1472, 547, 6432, 267, 4126, 4904, 519, 2011, 267, 3592, 899, 519, 1259, 5135, 25361, 938, 9641, 4543, 721, 13236, 3362, 269, 2334, 1554, 6825, 519, 4098, 540, 513, 1007, 3460, 2509, 9322, 543, 11450, 780, 3719, 2370, 1705, 4896, 917, 267, 2870, 971, 1689, 3884, 1405, 2141, 2653, 610, 5347, 22892, 269, 6884, 267, 2591, 2097, 30122, 267, 3450, 3407, 4245, 2059, 519, 1259, 269, 3807, 899, 875, 3006, 267, 5103, 2921, 1434, 1416, 540, 6000, 267, 649, 1522, 1869, 1205, 7210, 1107, 1175, 899, 5484, 15284, 4810, 609, 1010, 30456, 269, 1809, 3314, 267, 1565, 689, 7965, 2337, 721, 1332, 6793, 267, 1312, 607, 2043, 543, 607, 513, 4182, 20678, 585, 3356, 269, 0, 2237, 606, 3872, 1650, 630, 274, 268, 276, 9433, 264, 6098, 693, 1762, 1453, 1210, 2241, 1913, 269, 634, 1650, 1058, 581, 6273, 689, 713, 1257, 6256, 281, 3097, 2108, 20684, 281, 634 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1376, 912, 2018, 7443, 6834, 5777, 27709, 316, 910, 1376, 692, 1038, 2132, 7443, 7531, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 15358, 815, 1496, 272, 267, 273, 267, 274, 267, 275, 267, 276, 2639, 825, 3070, 815, 8827, 4590, 825, 1820, 4433, 1828, 27982, 3682, 7257, 25225, 4917, 825, 1780, 454, 0, 26611, 23591, 24800, 19841, 341, 9226, 454, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 258, 7711, 12041, 476, 2433, 669, 7534, 334, 692, 12163, 24757, 10524, 370, 13644, 368, 13107, 492, 16088, 454, 1220, 269, 13127, 366, 505, 31271, 379, 12255, 19404, 493, 692, 419, 353, 374, 28032, 489, 476, 272, 16088, 692, 27447, 24662, 16088, 28186, 815, 1496, 454, 476, 22373, 272, 14824, 272, 14824, 272, 14824, 272, 14824, 271, 257, 16689, 476, 22373, 272, 14824, 272, 14824, 271, 14824, 272, 14824, 271, 257, 16689, 476, 22373, 272, 14824, 272, 14824, 271, 14824, 271, 14824, 271, 257, 16689, 476, 22373, 271, 14824, 271, 14824, 271, 14824, 271, 14824, 271, 31116, 2639, 27447, 24731, 16088, 272, 454, 419, 353, 374, 28032, 489, 476, 273, 16088, 692, 27447, 24662, 16088, 28186, 815, 1496, 454, 476, 22373, 272, 14824, 272, 14824, 271, 14824, 271, 14824, 271, 257, 16689, 476, 22373, 272, 14824, 272, 14824, 271, 14824, 271, 14824, 271, 257, 16689, 476, 22373, 271, 14824, 271, 14824, 272, 14824, 271, 14824, 271, 257, 16689, 476, 22373, 271, 14824, 271, 14824, 271, 14824, 272, 14824, 272, 31116, 2639, 27447, 24731, 16088, 274, 692, 10059, 2517, 548, 564, 13892, 2275, 333, 2593, 24579, 21793, 14672, 3784, 6361, 28104, 4133, 13045, 12163, 5228, 17511, 1104, 27661, 5228, 3490, 1104, 2608, 7531, 5035, 8827, 912, 825, 1219, 1003, 3674, 4133, 4311, 267, 7470, 281, 5903, 314, 8266, 314, 1598, 316, 8079, 9847, 703, 912, 1038, 8173, 1038, 17276, 487, 356, 27310, 17958, 28793, 16088, 454, 10602, 20444, 454, 267, 13127, 506, 357, 19867, 478, 20069, 5124, 274, 17276, 493, 494, 11590, 353, 18809, 16583, 375, 420, 368, 354, 29072, 454, 7597, 269, 10436, 14999, 7511, 17958, 16043, 371, 454, 19540, 483, 11858, 502, 418, 370, 486, 26033, 501, 16088, 454, 866, 15406, 454, 267, 13127, 506, 357, 19867, 478, 20069, 5124, 274, 17276, 493, 494, 11590, 353, 18809, 16583, 375, 420, 368, 354, 29072, 454, 2190, 269, 9834, 14999, 7511, 17958, 16043, 371, 454, 1038, 8173, 1038, 1948, 13127, 28187, 31563, 421, 479, 485, 28996, 257, 272, 257, 8147, 23523, 478, 417, 495, 357, 20001, 373, 25263, 510, 418, 496, 511, 29254, 338, 264, 8147, 417, 28187, 31563, 417, 495, 357, 20001, 373, 15159, 257, 272, 257, 8147, 418, 498, 373, 9463, 502, 29219, 8147, 25203, 368, 28996, 20721, 510, 25622, 25263, 510, 418, 496, 511, 454, 1038, 9343, 815, 7003, 14116, 5090, 994, 1038, 897, 338, 815, 7003, 14116, 5090, 314, 271, 20285, 1038, 1948, 546, 12028, 418, 494, 506, 27381, 351, 19867, 478, 20069, 257, 272, 257, 8147, 417, 28187, 31563, 15159, 257, 272, 257, 8147, 418, 498, 373, 9463, 502, 29219, 23521, 354, 23989, 419, 353, 374, 26266, 366, 18777, 379, 25426, 362, 454, 1038, 1219, 546, 12028, 16868, 22698, 2187, 2018, 1948, 13127, 377, 497, 15159, 257, 272, 257, 28793, 19867, 491, 418, 494, 506, 27381, 351, 454, 2018, 952, 7470, 314, 337, 6012, 322, 316, 2652, 834, 272, 13426, 3546, 1948, 17276, 498, 373, 9463, 502, 29219, 23989, 419, 353, 374, 26266, 366, 18777, 379, 25426, 362, 454, 3546, 7470, 314, 337, 6012, 322, 316, 815, 476, 271, 454, 3546, 1948, 17276, 494, 506, 27381, 351, 417, 495, 357, 20001, 373, 454, 3546, 585, 630, 328, 25814, 264, 538, 27883, 337, 268, 272, 22698, 1070, 630, 337, 22698, 268, 272, 1070, 630, 337, 266, 272, 22698, 1070, 630, 337, 22698, 266, 272, 13580, 912, 7386, 1948, 13127, 492, 375, 26406, 487, 21251, 12571, 486, 419, 494, 484, 7511, 417, 507, 494, 21550, 485, 454, 7386, 952, 1775, 283, 271, 610, 795, 283, 271, 610, 1775, 285, 284, 4900, 610, 795, 285, 284, 3712, 338, 912, 13376, 3136, 454, 7386, 1948, 476, 14756, 356, 14756, 511, 20881, 496, 25051, 496, 418, 494, 506, 27381, 351, 454, 7386, 546, 12028, 9217, 25814, 2020, 1038, 1948, 476, 18777, 364, 25051, 499, 417, 366, 505, 31271, 379, 12255, 454, 1038, 1293, 815, 476, 271, 454, 1038, 585, 1775, 538, 2039, 263, 4900, 2187, 2018, 585, 795, 538, 2039, 263, 3712, 338, 2187, 3546, 1948, 28859, 479, 485, 28996, 417, 366, 505, 31271, 379, 29072, 8147, 417, 366, 505, 31271, 379, 12255, 20693, 510, 272, 8147, 23946, 370, 4970, 498, 417, 509, 374, 30678, 25051, 497, 31176, 491, 30536, 13213, 505, 27310, 418, 494, 506, 27381, 351, 454, 3546, 952, 7470, 5157, 6012, 329, 316, 2652, 834, 272, 13426, 7386, 1293, 6834, 476, 272, 454, 7386, 546, 12028, 9217, 25814, 994, 1038, 2132, 1293, 7531, 1038, 1948, 1293, 815, 476, 272, 454, 1038, 1948, 585, 1775, 538, 2039, 263, 4900, 2187, 1038, 1948, 672, 585, 795, 538, 2039, 263, 3712, 338, 2187, 1038, 1948, 1363, 952, 1775, 2652, 476, 271, 543, 795, 2652, 476, 271, 912, 1038, 1948, 17264, 3136, 454, 1038, 1948, 1363, 952, 7470, 5157, 6012, 329, 316, 2652, 834, 272, 13426, 1038, 1948, 17264, 7470, 5157, 6012, 329, 316, 815, 1193, 9217, 11924, 1598, 27203, 994, 1038, 1948, 17264, 952, 1775, 2652, 476, 271, 912, 1038, 1948, 4449, 952, 7470, 5157, 6012, 329, 268, 272, 316, 11203, 834, 271, 13426, 1038, 1948, 4449, 672, 7470, 5157, 6012, 329, 316, 815, 7470, 5157, 6012, 329, 268, 272, 2639, 1038, 1948, 17264, 8640, 795, 2652, 476, 271, 912, 1038, 1948, 4449, 952, 7470, 5157, 268, 272, 6012, 329, 316, 11203, 834, 271, 13426, 1038, 1948, 4449, 672, 7470, 5157, 6012, 329, 316, 815, 7470, 5157, 268, 272, 6012, 329, 2639, 1038, 1948, 17264, 3116, 912, 1038, 1948, 4449, 952, 7470, 5157, 268, 272, 6012, 329, 316, 11203, 834, 271, 13426, 1038, 1948, 4449, 672, 7470, 5157, 6012, 329, 316, 815, 7470, 5157, 268, 272, 6012, 329, 2639, 1038, 1948, 4449, 672, 952, 7470, 5157, 6012, 329, 268, 272, 316, 11203, 834, 271, 13426, 1038, 1948, 4449, 1363, 7470, 5157, 6012, 329, 268, 272, 316, 815, 7470, 5157, 268, 272, 6012, 329, 2639, 1038, 1948, 4449, 3116, 912, 1038, 1948, 4449, 672, 952, 7470, 5157, 6012, 329, 910, 476, 272, 316, 11203, 834, 271, 13426, 1038, 1948, 4449, 7470, 5157, 6012, 329, 316, 815, 7470, 5157, 268, 272, 6012, 329, 316, 1341, 7470, 5157, 6012, 329, 268, 272, 2639, 1038, 1948, 4449, 952, 630, 28186, 5157, 268, 272, 6012, 329, 316, 2652, 476, 272, 543, 7470, 5157, 6012, 329, 268, 272, 316, 13843, 476, 272, 264, 610, 630, 28186, 5157, 268, 272, 6012, 329, 316, 13843, 476, 272, 543, 7470, 5157, 6012, 329, 268, 272, 316, 2652, 476, 272, 2187, 1038, 1948, 4449, 672, 1293, 20699, 476, 272, 454, 1038, 1948, 1363, 952, 7470, 5157, 6012, 329, 316, 2652, 476, 272, 912, 1038, 1948, 17264, 1293, 6834, 476, 272, 454, 1038, 1948, 2132, 1293, 7531, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 7470, 815, 1496, 454, 1038, 22373, 272, 14824, 272, 14824, 272, 14824, 272, 14824, 271, 257, 16689, 1038, 22373, 272, 14824, 272, 14824, 271, 14824, 272, 14824, 271, 257, 16689, 1038, 22373, 272, 14824, 272, 14824, 271, 14824, 271, 14824, 271, 257, 16689, 1038, 22373, 271, 14824, 271, 14824, 271, 14824, 271, 14824, 271, 31116, 825, 23378, 825, 7470, 815, 1496, 454, 1038, 22373, 272, 2580, 834, 272, 2580, 834, 271, 2580, 834, 271, 2580, 834, 271, 257, 16689, 1038, 22373, 272, 2580, 834, 272, 2580, 834, 271, 2580, 834, 271, 2580, 834, 271, 257, 16689, 1038, 22373, 271, 2580, 834, 271, 2580, 834, 272, 2580, 834, 271, 2580, 834, 271, 257, 16689, 1038, 22373, 271, 2580, 834, 271, 2580, 834, 271, 2580, 834, 272, 2580, 834, 272, 31116, 825, 23378, 825, 1948, 7470, 815, 1496, 14277, 272, 2580, 834, 272, 2580, 834, 272, 257, 3910, 22373, 271, 2580, 834, 272, 2580, 834, 271, 257, 3910, 22373, 272, 2580, 834, 272, 2580, 834, 272, 19312, 2639, 825, 1948, 7470, 815, 1496, 14277, 272, 14824, 271, 14824, 272, 14824, 272, 14824, 272, 257, 3910, 14277, 272, 14824, 271, 14824, 272, 14824, 271, 14824, 272, 257, 3910, 14277, 272, 14824, 272, 14824, 272, 14824, 271, 14824, 272, 19312, 2639, 825, 1948, 15358, 815, 1628, 318, 8578, 338, 25225, 994, 825, 1948, 15358, 815, 1711, 8217, 17045, 25225, 994, 825, 3070, 815, 8827, 4590, 825, 1820, 4433, 1828, 8542, 636, 3674, 4133, 14116, 5090, 4917, 825, 1780, 0, 26611, 23591, 24800, 19841, 341, 9226, 454, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 258, 7711, 12041, 476, 2433, 669, 7534, 334, 454, 258, 7711, 11742, 825, 2433, 476, 1708, 272, 270, 273, 270, 2764, 692, 12163, 24757, 10524, 370, 13644, 368, 13107, 492, 16088, 454, 825, 476, 21497, 269, 476, 12255, 14756, 482, 18809, 7511, 21588, 361, 298, 14748, 31006, 27962, 30317, 27381, 510, 692, 419, 353, 374, 28032, 489, 476, 272, 1384, 27447, 24662, 281, 1496, 274, 267, 273, 267, 272, 267, 276, 267, 277, 267, 275, 316, 13127, 23687, 737, 815, 476, 273, 454, 27447, 24731, 281, 476, 276, 454, 419, 353, 374, 28032, 489, 476, 273, 1384, 27447, 24662, 281, 1496, 274, 267, 273, 267, 274, 267, 272, 267, 273, 267, 275, 267, 276, 267, 276, 267, 277, 316, 13127, 23687, 737, 815, 476, 275, 454, 27447, 24731, 281, 476, 275, 692, 10059, 2517, 548, 564, 13892, 2275, 333, 2593, 24579, 21793, 31574, 628, 28376, 3887, 2211, 2987, 12845, 268, 6783, 270, 692, 12163, 5228, 17511, 1104, 5903, 7531, 5035, 8827, 1384, 825, 1219, 1265, 298, 628, 299, 17999, 4311, 267, 15358, 281, 5903, 27776, 3910, 737, 281, 703, 264, 9847, 703, 912, 1038, 8173, 1038, 17276, 487, 356, 27310, 17958, 28793, 16088, 454, 4510, 20444, 454, 267, 13127, 506, 357, 19867, 478, 20069, 5124, 274, 17276, 493, 494, 11590, 353, 18809, 16583, 375, 420, 368, 354, 29072, 454, 10037, 269, 6734, 14999, 7511, 17958, 16043, 371, 454, 19540, 483, 11858, 502, 418, 370, 486, 26033, 501, 16088, 454, 1428, 269, 278, 15406, 454, 267, 13127, 506, 357, 19867, 478, 20069, 5124, 274, 17276, 493, 494, 11590, 353, 18809, 16583, 375, 420, 368, 354, 29072, 454, 2420, 269, 4366, 14999, 7511, 17958, 16043, 371, 454, 1038, 8173, 1038, 1948, 13127, 379, 360, 26406, 496, 418, 509, 354, 19867, 378, 454, 1038, 1219, 2656, 6958, 785, 263, 19477, 267, 2832, 2187, 2018, 7003, 5332, 815, 7003, 263, 19477, 994, 2018, 952, 7003, 5332, 2652, 476, 272, 912, 3546, 2132, 3688, 15631, 2727, 2639, 2018, 952, 7003, 5332, 2652, 476, 273, 912, 3546, 952, 3688, 314, 271, 316, 3436, 3688, 314, 272, 14158, 7386, 3688, 314, 272, 3910, 3688, 314, 271, 316, 815, 3688, 314, 271, 3910, 3688, 314, 272, 2639, 3546, 2132, 3688, 15631, 2727, 2639, 2018, 561, 267, 678, 815, 476, 271, 267, 7003, 5332, 268, 273, 454, 2018, 1507, 267, 2462, 815, 1496, 3910, 11713, 2018, 1948, 17276, 363, 493, 418, 361, 350, 417, 379, 483, 24731, 22047, 12255, 21211, 8147, 23521, 354, 421, 479, 379, 10429, 491, 18713, 510, 419, 490, 506, 18809, 31006, 16533, 493, 29219, 16043, 500, 31006, 27962, 29219, 26033, 490, 27882, 375, 23523, 359, 27064, 363, 454, 2018, 3490, 815, 3688, 21014, 263, 271, 994, 2018, 1247, 561, 10922, 678, 912, 3546, 952, 3688, 314, 331, 316, 13843, 3490, 912, 7386, 2462, 6910, 263, 19477, 314, 331, 7481, 3546, 3116, 912, 7386, 1507, 6910, 263, 19477, 314, 331, 7481, 3546, 952, 561, 2999, 678, 912, 7386, 952, 3688, 314, 337, 316, 13843, 3490, 912, 13376, 2462, 6910, 263, 19477, 314, 337, 7481, 7386, 3116, 912, 13376, 1507, 6910, 263, 19477, 314, 337, 7481, 3546, 561, 6834, 476, 272, 454, 3546, 678, 20699, 476, 272, 454, 2018, 7003, 10734, 815, 7003, 6357, 580, 994, 2018, 952, 7003, 10734, 13843, 2832, 912, 3546, 2132, 2656, 6958, 785, 6357, 580, 267, 2832, 994, 2018, 8640, 7003, 10734, 2652, 2832, 268, 272, 912, 3546, 2132, 3490, 454, 2018, 3116, 912, 3546, 2132, 2656, 6958, 785, 4433, 332, 718, 267, 2832, 2000, 523, 10734, 268, 272, 994, 1038, 2132, 2656, 6958, 785, 25225, 267, 737, 9239, 825, 1219, 1265, 298, 628, 299, 17999, 272, 4311, 267, 15358, 281, 5903, 27776, 3910, 737, 281, 703, 264, 9847, 703, 912, 1038, 8173, 1038, 17276, 487, 356, 27310, 17958, 28793, 16088, 454, 4366, 20444 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 2467, 779, 513, 5538, 17331, 855, 2370, 8153, 7678, 538, 1977, 1857, 2069, 602, 267, 538, 1082, 2665, 267, 27938, 547, 3768, 334, 3646, 547, 964, 1122, 26021, 938, 4182, 779, 3506, 281, 1153, 694, 20896, 269, 15439, 2322, 267, 1153, 694, 20896, 568, 950, 513, 2146, 8942, 547, 8237, 689, 922, 2199, 1153, 8664, 269, 7831, 3018, 267, 519, 18758, 1895, 3798, 30395, 5950, 606, 3750, 19945, 2287, 1867, 24223, 519, 4560, 543, 2360, 540, 1153, 694, 20896, 3646, 1472, 519, 2197, 269, 2755, 2487, 8942, 949, 3100, 899, 513, 5266, 1007, 7613, 267, 741, 3483, 568, 782, 1932, 5432, 543, 786, 723, 25010, 748, 2164, 585, 1153, 18244, 563, 5649, 519, 2407, 2022, 585, 2947, 5013, 827, 713, 23892, 543, 16160, 7678, 269, 0, 2026, 2576, 945, 814, 513, 6612, 585, 7286, 5726, 267, 8834, 932, 611, 19213, 568, 2141, 593, 519, 1413, 856, 585, 5499, 2093, 547, 2569, 938, 2942, 5222, 593, 519, 12084, 269, 2290, 540, 1010, 7887, 17079, 321, 8986, 568, 519, 2179, 540, 10068, 1899, 602, 4991, 3352, 22529, 4601, 23987, 2059, 938, 5032, 6050, 563, 1607, 1899, 568, 1875, 1532, 573, 580, 2784, 762, 543, 666, 2063, 585, 7366, 540, 1296, 267, 1303, 836, 1782, 543, 2879, 2130, 11818, 1949, 267, 7286, 11864, 543, 5017, 543, 4929, 1022, 1303, 22931, 7320, 547, 7985, 606, 11991, 3500, 543, 1419, 11213, 2669, 563, 4002, 513, 2487, 3643, 547, 717, 753, 9346, 2967, 267, 585, 513, 6952, 909, 5870, 609, 519, 1546, 9807, 6816, 11094, 11565, 338, 12070, 15728, 932, 643, 718, 267, 8834, 729, 3254, 606, 5499, 1788, 602, 789, 723, 15748, 269, 769, 7681, 609, 519, 3683, 560, 8681, 27391, 1275, 267, 519, 11565, 723, 3964, 513, 10068, 1899, 6051, 543, 9657, 1982, 543, 723, 5116, 16887, 2966, 12871, 25510, 693, 7580, 7158, 543, 2442, 10068, 6753, 2059, 519, 23795, 543, 5000, 29940, 547, 12235, 2476, 741, 23987, 1899, 883, 873, 269, 12070, 15728, 3081, 602, 519, 3210, 814, 1044, 1360, 2318, 543, 602, 713, 11036, 1058, 9090, 581, 18202, 856, 11992, 563, 4322, 25510, 616, 5693, 13042, 267, 849, 4543, 547, 2333, 1857, 4656, 827, 519, 2942, 5222, 540, 1167, 8973, 10068, 1899, 543, 824, 3653, 1570, 269, 769, 5101, 5507, 267, 594, 993, 849, 3222, 540, 2576, 267, 945, 538, 513, 2582, 1032, 814, 6394, 8370, 13532, 540, 23987, 10068, 1899, 689, 1010, 1753, 12701, 540, 23795, 256, 901, 814, 1044, 5249, 856, 547, 3160, 476, 1789, 330, 559, 18852, 540, 23987, 1899, 2336, 763, 3527, 689, 891, 1906, 2043, 5693, 1397, 602, 1142, 540, 721, 666, 1118, 513, 2318, 3017, 543, 786, 23248, 849, 5000, 1866, 547, 1831, 3238, 538, 11824, 2973, 22705, 538, 741, 1378, 2127, 269, 1280, 811, 1344, 593, 713, 9735, 11036, 267, 5225, 3643, 1546, 9807, 6816, 11094, 11565, 269, 0, 10454, 1148, 540, 2112, 11414, 721, 547, 7048, 711, 593, 519, 10171, 540, 519, 10546, 781, 711, 4947, 267, 855, 593, 938, 1378, 22026, 547, 4309, 1864, 282, 711, 593, 519, 4960, 540, 1010, 711, 22215, 267, 855, 2864, 593, 519, 1249, 602, 649, 723, 1500, 938, 2990, 796, 817, 9005, 1701, 910, 6129, 570, 30349, 267, 634, 3203, 540, 2782, 454, 10454, 1148, 540, 6668, 11414, 721, 547, 7048, 711, 593, 519, 10171, 540, 519, 700, 5308, 306, 2464, 781, 711, 4947, 267, 855, 593, 938, 1378, 22026, 547, 4309, 1864, 282, 711, 593, 519, 4960, 540, 1010, 711, 22215, 267, 855, 2864, 593, 519, 1249, 602, 649, 723, 1500, 938, 2990, 796, 817, 9005, 1701, 910, 8073, 17314, 31229, 279, 267, 634, 3203, 540, 27834, 454, 6524, 17259, 883, 1022, 5092, 540, 1022, 5686, 1519, 9467, 610, 4259, 909, 1507, 4213, 267, 16310, 3168, 693, 875, 1454, 649, 616, 2469, 547, 10790, 17395, 267, 1906, 1004, 2731, 1589, 9875, 267, 875, 1454, 649, 616, 2469, 547, 700, 5308, 292, 267, 543, 875, 1279, 666, 649, 590, 7838, 309, 25893, 896, 9561, 1604, 1354, 649, 616, 7142, 547, 717, 25893, 24505, 269, 11408, 3314, 602, 972, 568, 7872, 540, 513, 19154, 19272, 17335, 3198, 17729, 563, 14937, 2220, 534, 3069, 454, 763, 2165, 3109, 2220, 534, 2501, 689, 519, 3504, 5375, 17748, 602, 782, 2220, 753, 941, 3043, 269, 4935, 267, 519, 4563, 4210, 534, 568, 606, 540, 339, 11855, 4704, 538, 10952, 5717, 540, 519, 1561, 321, 762, 269, 17127, 781, 13405, 24630, 568, 1034, 2693, 519, 3312, 4704, 602, 2306, 946, 540, 1383, 11382, 690, 3359, 5473, 519, 32252, 919, 834, 19009, 2580, 834, 18872, 257, 543, 834, 1873, 534, 1701, 2859, 4481, 17127, 3096, 519, 6519, 4210, 534, 607, 606, 1383, 540, 2556, 1894, 543, 519, 4563, 4210, 534, 607, 1561, 321, 762, 269, 901, 1383, 949, 581, 1031, 547, 6542, 2901, 20952, 633, 610, 31602, 7744, 269, 1717, 267, 9444, 1106, 540, 7744, 568, 1102, 718, 1043, 2094, 538, 31602, 7744, 22402, 540, 606, 4661, 949, 1489, 513, 3932, 855, 1281, 711, 2327, 621, 543, 13974, 538, 20952, 633, 7744, 606, 4661, 568, 8200, 593, 519, 5168, 540, 922, 22402, 269, 2334, 568, 267, 513, 7301, 23350, 666, 7654, 1291, 547, 513, 7301, 1267, 267, 543, 21016, 5477, 22402, 786, 849, 6556, 606, 21016, 5477, 3932, 269, 3627, 26573, 7085, 1101, 1031, 519, 3109, 2220, 534, 2239, 547, 1865, 535, 1023, 2305, 563, 27860, 1227, 519, 476, 1704, 628, 11416, 6602, 540, 3109, 2220, 753, 538, 5245, 23009, 2216, 519, 2165, 547, 598, 16694, 606, 9868, 547, 519, 4341, 543, 519, 1360, 6228, 540, 519, 1561, 321, 762, 269, 4935, 267, 519, 7182, 540, 519, 4661, 3297, 834, 718, 2220, 753, 616, 3043, 257, 568, 6534, 910, 621, 568, 8806, 1759, 593, 519, 7182, 540, 1995, 630, 324, 3052, 602, 1169, 2220, 534, 594, 723, 2938, 267, 4862, 267, 610, 1224, 827, 568, 3043, 1040, 670, 2541, 781, 4323, 1996, 15632, 543, 1757, 566, 568, 5097, 1759, 593, 519, 7182, 540, 1995, 543, 865, 1932, 519, 7687, 540, 3621, 1702, 563, 305, 732, 543, 1561, 321, 762, 2621, 798, 2049, 1454, 811, 982, 649, 546, 732, 547, 1589, 269, 3776, 3206, 568, 2356, 3908, 538, 9165, 543, 649, 1118, 10054, 1759, 593, 1018, 649, 1294, 267, 917, 267, 543, 8263, 269, 18712, 267, 2705, 267, 568, 1454, 811, 7294, 543, 20437, 982, 649, 1589, 563, 9827, 267, 10054, 4143, 547, 3328, 3871, 616, 1447, 4143, 547, 12150, 3871, 267, 2523, 950, 519, 834, 337, 2737, 540, 519, 3014, 257, 2933, 798, 1689, 563, 763, 5458, 1198, 454, 15761, 3153, 2621, 798, 4755, 543, 723, 513, 2462, 1198, 269, 6201, 32736, 267, 1519, 5181, 476, 1556, 628, 269, 634, 5769, 609, 922, 1585, 2360, 729, 17077, 569, 17191, 267, 543, 621, 568, 513, 1646, 602, 814, 1185, 513, 1713, 1198, 269, 634, 2360, 540, 3665, 2621, 616, 1256, 2362, 1813, 547, 519, 1249, 602, 789, 616, 6397, 563, 21918, 1243, 1480, 1702, 454, 3963, 798, 1004, 4043, 547, 10714, 4686, 2621, 286, 3487, 569, 1317, 3425, 30391, 741, 22293, 538, 1034, 3871, 9789, 1198, 540, 6397, 2621, 568, 2484, 811, 1713, 982, 1004, 1419, 4952, 269, 26626, 321, 13187, 602, 519, 20790, 834, 933, 917, 257, 568, 538, 1082, 2665, 606, 21903, 9789, 1480, 2247, 11148, 547, 1589, 621, 6487, 267, 855, 621, 1281, 711, 2141, 723, 513, 4396, 4493, 585, 713, 1642, 4288, 540, 834, 296, 917, 2668, 901, 10206, 602, 649, 798, 711, 917, 568, 1360, 2025, 267, 18584, 607, 2484, 1394, 693, 2547, 607, 24198, 269, 2368, 5433, 314, 15367, 286, 316, 602, 519, 13120, 540, 2257, 814, 21235, 519, 1158, 1134, 8153, 282, 26626, 321, 13187, 602, 1247, 2257, 3773, 1702, 267, 519, 1158, 1705, 711, 2490, 883, 513, 535, 1112, 25875, 1158, 1141, 3388, 568, 1634, 269, 24198, 262, 9598, 636, 834, 1492, 1152, 3364, 594, 917, 568, 602, 594, 798, 711, 917, 257, 568, 607, 3020, 607, 2479, 267, 26626, 321, 20147, 269, 26626, 321, 1915, 3278, 519, 16023, 267, 538, 851, 267, 607, 519, 23160, 545, 2887, 2329, 563, 307, 9506, 519, 769, 6665, 1043, 883, 519, 6250, 1043, 1107, 1948, 684, 27771, 657, 5296, 910, 12005, 689, 7711, 684, 27771, 657, 5296, 17749, 8525, 19850, 3025, 256, 3794, 611, 547, 581, 1394, 543, 20171, 1586, 269, 594, 723, 1044, 2731, 11112, 609, 960, 543, 824, 8631, 519, 2250, 19420, 2483, 280, 3108, 3516, 0, 7804, 269, 6682, 8759, 681, 6139, 729, 827, 547, 4734, 585, 12129, 950, 519, 2229, 8047, 1572, 609, 519, 9670, 1449, 1267, 269, 15474, 269, 898, 729, 3967, 269, 476, 2767, 269, 2701, 1185, 1175, 4362, 5125, 779, 1101, 2013, 540, 519, 1007, 11452, 563, 3719, 519, 5868, 1500, 1100, 2631, 269, 4173, 3461, 267, 513, 1870, 2006, 689, 513, 7404, 10081, 2694, 2754, 267, 1223, 723, 1044, 7783, 676, 1152, 835, 1268, 281, 513, 26393, 9683, 689, 3624, 269, 1656, 602, 26393, 1058, 711, 723, 1044, 21380, 563, 763, 21233, 1185, 8604, 9985, 2635, 1282, 1200, 3251, 538, 5125, 269, 3143, 23472, 610, 32125, 267, 1100, 4191, 540, 9854, 610, 8611, 1282, 1079, 2395, 540, 1279, 11401, 269, 2701, 5143, 9164, 602, 1352, 1185, 3323, 4743, 2192, 1310, 519, 8184, 1394, 547, 3624, 269, 17963, 2663, 267, 1352, 7318, 2318, 585, 519, 11452, 2507, 563, 2507, 604, 519, 4966, 941, 4636, 267, 952, 519, 3644, 1223, 3262, 689, 9583, 2635, 19057, 610, 1004, 945, 1185, 711, 2943, 2919, 2589, 267, 519, 29298, 941, 5732, 21472, 269, 5398, 18221, 11044, 267, 19633, 9584, 543, 3251, 25571, 268, 604, 3917, 537, 2461, 7210, 4507, 1522, 711, 3247, 621, 269, 2859, 10728, 3800, 1522, 581, 2838, 2443, 19280, 2635, 1004, 547, 5957, 13968, 267, 585, 3236, 267, 610, 28142, 3486, 2951, 563, 7804, 269, 681, 6139, 543, 1200, 9164, 941, 1851, 519, 1101, 547, 24633, 519, 1158, 269, 1809, 1256, 607, 2963, 19017, 689, 824, 3744, 267, 3056, 1072, 8387, 6829, 26772, 6015, 602, 10835, 1652, 10825, 729, 711, 1271, 563, 1103, 519, 2395, 543, 4374, 547, 2097, 267, 14761, 267, 1857, 1072, 8387, 543, 15180, 19174, 9011, 3042, 610, 16053, 519, 22540, 2319, 563, 2026, 1072, 8387, 543, 2797, 3401, 1524, 2452, 539, 610, 17792, 519, 1981, 540, 1004, 609, 1100, 2589, 10825, 519, 11452, 538, 5988, 267, 9937, 540, 5215, 540, 9583, 2635, 1004, 2968, 606, 7952, 540, 14980, 13044, 268, 866, 19057, 269, 10059, 2517, 339, 16691, 270, 279, 337, 5226, 271, 311, 320, 17764, 312, 454, 1765, 634, 1715, 3840, 8648, 31822, 5500, 9392, 264, 4873, 476, 2764, 267, 476, 1708, 271, 0, 289, 850, 17406, 4386, 950, 23925, 2443, 513, 9667, 5277, 3812, 538, 707, 6797, 2443, 19758, 909, 630, 10915, 12999, 525, 264, 883, 707, 7181, 543, 267, 538, 930, 2665, 267, 883, 519, 8546, 602, 13462, 707, 5023, 543, 7181, 630, 525, 20652, 1916, 289, 850, 17406, 949, 13173, 519, 17406, 630, 3724, 31683, 264, 540, 7181, 3679, 630, 326, 770, 878, 3679, 264, 883, 707, 24647, 269, 22050, 878, 17406, 949, 1291, 547, 12884, 525, 23569, 17406, 2068, 630, 294, 26314, 1070, 513, 5732, 3978, 1966, 602, 3123, 16698, 543, 6553, 540, 1965, 23569, 5160, 630, 525, 15047, 4345, 1916, 289, 850, 17406, 543, 23441, 3679, 17406, 616, 5094, 2175, 269, 6787, 23925, 568, 1271, 538, 717, 26314, 568, 11786, 269, 645, 850, 568, 1419, 513, 16143, 540, 7700, 547, 717, 26314, 950, 1004, 4431, 18106, 569, 610, 711, 693, 782, 547, 3532, 3679, 23418, 816, 656, 6527, 269, 1809, 972, 568, 2370, 2963, 22942, 532, 519, 2360, 540, 23925, 17406, 538, 1004, 563, 19284, 23441, 3679, 17406, 267, 23925, 17406, 666, 5257, 516, 9561, 2597, 1510, 3843, 563, 2252, 596, 5257, 339, 3478, 7850, 8323, 689, 707, 6527, 267, 1289, 707, 4387, 269, 1411, 949, 991, 3606, 2126, 585, 23925, 17406, 563, 27246, 18729, 4676, 12999, 6178, 2986, 631, 4593, 541, 5846, 3244, 1255, 17778, 630, 26926, 495, 18729, 4676, 12999, 264, 1923, 18729, 4676, 12999, 6178, 2986, 631, 4593, 541, 5846, 7454, 13756, 6011, 547, 18729, 4676, 12999, 6178, 2986, 631, 4593, 541, 5846, 585, 853, 6729, 543, 28894, 7595, 11896, 7046, 1402, 5346, 519, 476, 272, 2063, 9337, 476, 1321, 7325, 476, 1708, 271, 13972, 4216, 15411, 1402, 5346, 13972, 4216, 454, 5141, 846, 853, 6729, 543, 28894, 7595, 11896, 18729, 4676, 12999, 6178, 2986, 631, 4593, 541, 5846, 15486, 630, 6930, 495, 491, 8376, 264, 1923, 18729, 4676, 12999, 6178, 2986, 631, 4593, 541, 5846, 1548, 15486, 9839, 14315, 6011, 547, 18729, 4676, 12999, 6178, 2986, 631 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1960, 273, 563, 268, 9745, 834, 7069, 8367, 729, 602, 952, 594, 9112, 513, 1893, 2966, 4481, 547, 1683, 513, 811, 7850, 7271, 585, 11589, 2021, 781, 11994, 267, 2021, 1131, 630, 320, 264, 9784, 621, 543, 2253, 1210, 621, 267, 610, 630, 321, 264, 9784, 519, 2856, 855, 711, 519, 1893, 267, 2161, 834, 14976, 6265, 267, 596, 4312, 3893, 621, 782, 4636, 10590, 543, 4020, 930, 824, 834, 342, 1580, 781, 1893, 257, 547, 5372, 621, 1701, 3794, 520, 10045, 267, 20388, 320, 630, 1220, 278, 1040, 834, 11328, 1613, 2060, 30554, 8291, 16874, 523, 4432, 6265, 2668, 21444, 689, 519, 3312, 593, 476, 1220, 278, 268, 6187, 268, 1321, 269, 5291, 2517, 19986, 269, 1105, 633, 3820, 270, 19986, 270, 1220, 3583, 277, 6344, 4962, 278, 6872, 270, 10674, 2517, 4178, 269, 11274, 565, 583, 1168, 1679, 2593, 270, 7224, 12069, 4882, 15120, 8291, 318, 17495, 523, 318, 601, 6265, 21867, 269, 8158, 476, 1220, 278, 268, 6734, 268, 736, 563, 268, 9745, 6755, 601, 2100, 269, 1276, 8522, 12975, 454, 268, 9745, 2274, 641, 1245, 18160, 267, 834, 2704, 3288, 2351, 1470, 632, 3288, 3038, 19390, 632, 700, 532, 17383, 329, 15397, 12107, 1690, 632, 2274, 30519, 6308, 17487, 507, 529, 3288, 715, 10044, 7843, 17763, 2580, 476, 6642, 275, 269, 3115, 11781, 539, 538, 8750, 3512, 320, 918, 6135, 25959, 1470, 267, 772, 12788, 476, 1960, 273, 4586, 268, 9745, 834, 1692, 1705, 596, 1265, 856, 602, 972, 941, 824, 598, 331, 13377, 8119, 1230, 331, 836, 1592, 20171, 676, 1656, 681, 739, 320, 267, 476, 1691, 5239, 476, 1220, 278, 454, 268, 9745, 19964, 540, 966, 677, 335, 684, 19390, 693, 19378, 30179, 518, 781, 3896, 454, 268, 9745, 10748, 1466, 267, 772, 6921, 1601, 807, 267, 543, 1230, 331, 836, 281, 18023, 532, 19932, 593, 519, 5769, 676, 8861, 700, 269, 11612, 2917, 269, 631, 14727, 281, 589, 4750, 540, 9012, 543, 9177, 476, 274, 269, 272, 630, 1220, 271, 1040, 630, 11386, 21461, 4528, 540, 2376, 267, 2923, 2275, 11857, 3820, 28898, 3135, 3006, 814, 2042, 8094, 268, 9745, 834, 3519, 331, 836, 16166, 257, 693, 1230, 331, 836, 22816, 807, 454, 268, 9745, 834, 10000, 11845, 544, 9430, 1592, 7194, 1765, 293, 2562, 3201, 2580, 1230, 331, 836, 1592, 20171, 676, 18536, 808, 19128, 1777, 267, 476, 1724, 5181, 476, 1220, 272, 454, 268, 9745, 834, 30182, 1272, 540, 513, 598, 331, 836, 257, 8142, 593, 2098, 20234, 626, 28743, 8274, 267, 476, 1428, 4864, 476, 1220, 279, 282, 15600, 476, 2918, 4864, 476, 1220, 279, 563, 21202, 2071, 1272, 540, 513, 598, 331, 836, 257, 8142, 593, 1230, 331, 836, 544, 9430, 1592, 267, 476, 2767, 4864, 476, 1220, 279, 630, 29019, 581, 2895, 1882, 811, 6414, 1836, 982, 519, 2098, 17668, 8142, 994, 268, 9745, 15726, 299, 6239, 3115, 12141, 454, 268, 9745, 20492, 13885, 1695, 5622, 2593, 454, 268, 9745, 674, 714, 12685, 580, 2593, 454, 268, 9745, 634, 476, 1220, 277, 3911, 13704, 13815, 12736, 1676, 281, 17833, 25901, 676, 6424, 808, 269, 8891, 3205, 454, 268, 9745, 834, 4134, 568, 632, 562, 24926, 1965, 704, 5889, 660, 334, 281, 16038, 6573, 299, 23360, 256, 2580, 15600, 476, 279, 5181, 476, 1220, 279, 454, 268, 19889, 267, 772, 3088, 1729, 630, 1960, 276, 1040, 634, 3406, 585, 519, 3501, 1893, 269, 10228, 281, 4563, 6202, 269, 9768, 476, 271, 268, 277, 4029, 268, 14690, 4792, 268, 277, 563, 268, 1290, 4471, 267, 24527, 630, 1960, 271, 1040, 634, 2622, 781, 11683, 19932, 269, 10228, 1496, 23682, 5112, 28790, 13912, 10228, 2160, 4964, 269, 9768, 476, 271, 268, 866, 268, 2004, 277, 276, 1556, 268, 276, 563, 268, 19115, 267, 21142, 630, 1220, 271, 1040, 589, 1991, 328, 5841, 4654, 630, 299, 16722, 540, 519, 1158, 1040, 6931, 1260, 16402, 11985, 269, 9768, 476, 274, 268, 279, 4817, 10436, 268, 5780, 278, 268, 280, 563, 268, 21411, 1370, 267, 589, 27996, 630, 1220, 280, 1040, 769, 519, 8092, 540, 18023, 539, 19932, 281, 10507, 704, 27053, 9412, 25578, 267, 918, 1782, 517, 7313, 1115, 267, 8298, 17427, 10753, 951, 267, 543, 519, 8496, 14134, 619, 5808, 570, 3072, 547, 12706, 589, 17828, 5678, 269, 1975, 20672, 601, 1299, 3400, 340, 269, 6032, 269, 476, 31134, 269, 9768, 476, 271, 4343, 4649, 273, 4281, 279, 279, 563, 268, 834, 289, 8475, 781, 2413, 16413, 2580, 676, 2549, 828, 19933, 269, 634, 11968, 13353, 8648, 267, 476, 2190, 4864, 476, 1220, 278, 630, 23192, 3370, 607, 834, 1103, 741, 1378, 1913, 4534, 12777, 5602, 268, 5678, 8551, 4934, 14006, 28933, 1896, 4930, 689, 519, 1957, 1990, 710, 4750, 540, 1773, 10165, 19932, 454, 268, 634, 5678, 6997, 267, 25599, 26858, 781, 3135, 267, 849, 1065, 29251, 1896, 971, 4930, 593, 1808, 4654, 454, 268, 5678, 20520, 10985, 454, 268, 5678, 20520, 5980, 454, 268, 634, 1230, 331, 836, 631, 9430, 5903, 267, 950, 576, 519, 2165, 834, 935, 331, 836, 2668, 10021, 3320, 11828, 1148, 331, 836, 338, 267, 855, 849, 1266, 601, 836, 338, 3006, 563, 268, 634, 22847, 311, 299, 20315, 631, 9430, 5903, 267, 8237, 689, 1230, 331, 836, 282, 5097, 11828, 3486, 25581, 4654, 563, 268, 2098, 20234, 626, 28743, 8274, 267, 513, 3810, 3742, 2228, 8468, 13991, 547, 598, 331, 836, 338, 630, 663, 598, 16447, 338, 538, 2489, 1916, 268, 14970, 22711, 1230, 331, 836, 338, 2146, 454, 268, 1230, 331, 9734, 28743, 8274, 267, 513, 1617, 13308, 8468, 5097, 585, 598, 331, 13377, 563, 268, 1948, 935, 331, 836, 267, 519, 594, 13612, 8756, 1948, 935, 331, 836, 593, 674, 2240, 1712, 563, 268, 595, 310, 10998, 12991, 564, 267, 589, 1747, 547, 2022, 3377, 4930, 827, 707, 598, 16447, 338, 269, 5675, 538, 598, 331, 836, 338, 568, 7989, 24777, 563, 268, 1772, 513, 25401, 3501, 1893, 2009, 888, 268, 1215, 547, 454, 268, 634, 5678, 14716, 14173, 630, 25835, 476, 6021, 279, 4510, 278, 1822, 311, 264, 676, 4460, 25347, 325, 601, 1457, 454, 268, 1215, 547, 8073, 513, 5678, 676, 623, 32631, 6424, 4469, 2803, 563, 268, 10749, 593, 5678, 5071, 676, 25599, 5651, 928, 879, 267, 5097, 593, 2870, 3608, 543, 796, 3711, 27631, 1266, 601, 836, 338, 855, 849, 593, 875, 547, 1711, 513, 10853, 14070, 1893, 563, 268, 1715, 3840, 8648, 910, 5576, 2714, 781, 18500, 910, 5999, 5775, 26833, 281, 18023, 539, 19932, 630, 11328, 1613, 609, 589, 27996, 21411, 1370, 543, 6754, 3245, 1067, 994, 268, 1230, 331, 836, 25304, 540, 5678, 23113, 267, 513, 1462, 1670, 6538, 540, 598, 331, 836, 338, 267, 1759, 593, 519, 2622, 25304, 540, 5678, 23113, 563, 268, 18671, 788, 29251, 1280, 645, 8475, 267, 2519, 593, 3486, 25581, 4654, 563, 268, 12275, 21884, 781, 25103, 547, 8298, 673, 19932, 454, 268, 4972, 540, 1773, 10165, 19932, 10507, 704, 27053, 7467, 540, 519, 22341, 2817, 7732, 563, 268, 634, 1230, 331, 9734, 781, 7732, 454, 268, 1230, 331, 836, 22816, 807, 9497, 3519, 331, 836, 5131, 4975, 257, 1916, 268, 594, 3201, 26264, 267, 513, 530, 5942, 585, 519, 589, 5060, 331, 836, 2146, 563, 268, 1133, 559, 836, 3820, 267, 513, 6538, 540, 1893, 268, 543, 10409, 5829, 1344, 563, 268, 1230, 331, 836, 338, 693, 26264, 309, 8538, 4534, 31669, 13450, 540, 598, 331, 836, 338, 593, 11060, 563, 17746, 1192, 539, 4654, 630, 935, 331, 836, 338, 264, 9537, 543, 2035, 1230, 331, 836, 338, 7922, 1170, 28248, 338, 5788, 2826, 1156, 580, 5788, 667, 3133, 5788, 667, 1054, 571, 7288, 5788, 2037, 5255, 1014, 5788, 10507, 704, 27053, 5788, 3794, 6242, 5788, 594, 4777, 5788, 3955, 1782, 7699, 5788, 594, 628, 31343, 559, 5788, 918, 25207, 6352, 5788, 918, 1782, 517, 5788, 700, 5451, 24460, 5788, 23008, 320, 8071, 320, 25429, 5788, 23008, 320, 16384, 2254, 320, 5788, 8298, 17427, 5788, 10753, 329, 3316, 5788, 10878, 262, 12858, 5788, 715, 6758, 520, 5788, 8734, 658, 5788, 12769, 1211, 531, 5788, 2372, 523, 5984, 5788, 10162, 5788, 590, 3711, 1695, 21542, 5788, 590, 785, 18288, 5788, 30355, 2103, 7288, 5788, 3752, 637, 565, 5788, 1855, 517, 1695, 339, 5788, 15480, 328, 623, 7431, 5788, 17578, 8432, 5451, 14269, 5788, 5292, 777, 6686, 330, 5788, 654, 2989, 344, 330, 10313, 11143, 8249, 21545, 531, 5788, 26264, 19061, 454, 310, 1731, 12855, 7690, 269, 476, 1001, 271, 563, 16100, 693, 824, 21594, 912, 24554, 539, 1893, 2443, 10902, 513, 264, 589, 1480, 1893, 602, 814, 1044, 29596, 25282, 676, 606, 1367, 610, 513, 1507, 1895, 267, 607, 10353, 547, 2348, 6923, 7960, 607, 851, 540, 513, 2528, 899, 513, 2067, 1893, 269, 536, 264, 7102, 1893, 267, 2436, 513, 1480, 1893, 267, 513, 5752, 1893, 2507, 2560, 22816, 5406, 776, 454, 10468, 334, 630, 24554, 539, 1893, 264, 2443, 901, 2376, 568, 827, 519, 9112, 1893, 269, 1280, 824, 3096, 267, 1294, 32286, 630, 4134, 3711, 580, 6672, 1040, 32286, 23095, 676, 3203, 1755, 1325, 325, 663, 926, 11261, 2813, 476, 3422, 272, 2560, 9504, 454, 23458, 6963, 2443, 568, 513, 1826, 540, 1893, 4058, 676, 7372, 1689, 547, 513, 1893, 269, 634, 8912, 2645, 540, 1893, 6963, 616, 5187, 2305, 543, 22729, 269, 22217, 2305, 2306, 519, 1893, 4443, 547, 946, 676, 2834, 1944, 6863, 543, 8239, 269, 8830, 2305, 2306, 519, 2560, 9504, 454, 17746, 1192, 539, 7097, 2443, 589, 9112, 7097, 630, 10193, 5841, 7097, 267, 683, 2762, 267, 543, 931, 5296, 585, 2110, 264, 568, 513, 1007, 1603, 1062, 4481, 2813, 676, 606, 1367, 610, 1895, 267, 2864, 982, 2348, 7960, 607, 851, 540, 513, 1893, 610, 2528, 899, 513, 2067, 7097, 269, 2368, 616, 2507, 2560, 9504, 454, 23458, 2443, 901, 2376, 568, 827, 519, 3601, 540, 1893, 538, 2489, 269, 1280, 824, 3096, 267, 1294, 5678, 630, 4134, 3711, 580, 6672, 1040, 595, 2317, 6134, 568, 835, 540, 519, 1101, 1634, 3029, 540, 2854, 1893, 267, 855, 9275, 1893, 568, 5156, 547, 2392, 622, 1603, 676, 9937, 540, 5215, 540, 2507, 2560, 9504, 454, 23458, 4058, 2443, 901, 2376, 568, 827, 519, 2361, 540, 1893, 4058, 543, 3609, 269, 6423, 20472, 539, 1893, 585, 3877, 593, 519, 5137, 540, 9709, 610, 5841, 4654, 269, 5678, 4058, 568, 513, 20982, 4674, 547, 3310, 519, 1599, 267, 2497, 267, 610, 2507, 2560, 9504, 454, 23458, 1920, 2443, 6423, 849, 281, 5903, 540, 1893, 3885, 589, 1893, 1920, 568, 513, 1895, 540, 4654, 1644, 998, 16350, 689, 513, 1455, 22660, 267, 1572, 519, 1486, 334, 1893, 540, 602, 1920, 269, 634, 2165, 1920, 2501, 689, 519, 3529, 2203, 540, 1893, 1976, 1588, 538, 2507, 2560, 9504, 454, 23458, 20586, 2443, 589, 1893, 20586, 267, 538, 519, 6207, 2631, 267, 568, 513, 2067, 1893, 609, 1100, 27313, 14259, 1076, 5444, 11530, 673, 630, 528, 4719, 3738, 2078, 609, 824, 2713, 4654, 282, 602, 568, 267, 835, 602, 814, 711, 1044, 7152, 547, 13956, 689, 606, 22660, 1455, 547, 1022, 824, 2560, 9504, 454, 23458, 543, 2219, 2443, 589, 3099, 540, 1114, 4589, 267, 6436, 543, 4610, 1625, 1636, 7506, 1063, 1893, 543, 2219, 269, 6624, 1448, 856, 519, 9583, 1455, 2631, 20185, 602, 2390, 26126, 649, 3100, 547, 1589, 538, 519, 1893, 649, 3717, 269, 589, 1297, 540, 5830, 543, 2507, 2560, 9504, 454, 23458, 11064, 2443, 568, 513, 27461, 8360, 1031, 5097, 547, 5815, 519, 7965, 5185, 950, 1004, 267, 945, 723, 1100, 1893, 538, 1455, 267, 3801, 547, 5968, 609, 1142, 824, 269, 898, 949, 849, 581, 1031, 538, 824, 8658, 269, 5678, 11064, 543, 2792, 23777, 1227, 267, 2507, 2560, 9504, 0, 31161, 936, 267, 4155, 21891, 4534, 10316, 21891, 616, 5051, 2921, 513, 588, 18732, 1909, 538, 2462, 2749, 862, 2373, 269, 2368, 1883, 3604, 538, 519, 1374, 543, 3334, 540, 519, 563, 1103, 12483, 324, 547, 2087, 741, 4187, 547, 14047, 999, 267, 1082, 18646, 786, 1039, 513, 1412, 11357, 2389, 1348, 262, 4494, 610, 1412, 335, 15802, 6169, 12966, 8339, 2368, 18646, 786, 3274, 4183, 811, 12285, 267, 2810, 519, 11098, 540, 519, 25500, 267, 1247, 1866, 786, 946, 1808, 2326, 476, 272, 269, 4037, 1535, 476, 736, 3986, 741, 6043, 563, 5278, 18569, 1512, 18646, 2966, 585, 5162, 2866, 543, 862, 5024, 786, 4183, 1804, 12483, 11332, 4027, 1804, 12483, 11332, 519, 2427, 13665, 1932, 2443, 952, 596, 1616, 547, 2057, 1166, 1846, 693, 782, 3790, 267, 3343, 18646, 609, 971, 513, 4183, 563, 23777, 1227, 267 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1762, 22459, 568, 759, 584, 5550, 539, 676, 513, 7715, 547, 1285, 3188, 1010, 543, 1010, 535, 4800, 324, 779, 7972, 269, 1306, 538, 519, 2098, 23537, 541, 770, 6929, 2669, 13486, 267, 519, 7715, 779, 1909, 568, 10795, 18657, 1807, 1063, 1272, 543, 2669, 267, 610, 2669, 543, 519, 1310, 5158, 563, 9617, 513, 1906, 2395, 1354, 2083, 2719, 729, 16516, 547, 581, 936, 267, 476, 2764, 4458, 6040, 10557, 729, 3170, 958, 8929, 1813, 547, 4412, 2359, 6959, 269, 700, 532, 1359, 24242, 6436, 4478, 1010, 476, 3451, 4458, 6040, 4651, 23745, 10557, 779, 12357, 2669, 476, 736, 1296, 4505, 267, 5916, 609, 519, 796, 331, 1731, 9685, 540, 2621, 1282, 15952, 517, 10557, 779, 7260, 2504, 267, 5916, 609, 519, 13513, 540, 519, 7715, 1927, 15583, 730, 32422, 602, 519, 1920, 729, 17400, 539, 563, 288, 476, 1001, 280, 10178, 21445, 1353, 540, 6177, 8100, 538, 5230, 4496, 2575, 18405, 1336, 986, 1597, 543, 7715, 547, 581, 519, 1101, 543, 8772, 968, 2865, 4496, 892, 5017, 269, 11088, 267, 519, 6698, 616, 15866, 2404, 609, 2669, 267, 5289, 14334, 267, 610, 2062, 321, 5317, 269, 769, 519, 2038, 476, 1960, 271, 338, 267, 1079, 14402, 4224, 13164, 267, 634, 4563, 18844, 525, 543, 25478, 595, 4900, 267, 9250, 3811, 267, 10770, 11678, 269, 25478, 595, 4900, 18705, 922, 2012, 689, 513, 3703, 21543, 22565, 1592, 875, 2818, 540, 519, 1351, 341, 573, 1920, 1765, 332, 698, 335, 625, 538, 713, 6648, 1765, 16673, 24901, 1434, 610, 3983, 269, 898, 5673, 593, 875, 1082, 524, 4900, 649, 1294, 281, 835, 585, 28194, 267, 1079, 585, 7772, 563, 290, 4900, 1810, 1406, 2141, 24901, 971, 2462, 2093, 607, 2669, 543, 25976, 269, 1280, 1383, 267, 1210, 519, 12428, 2262, 585, 968, 322, 992, 892, 538, 922, 2140, 968, 14976, 8566, 1817, 629, 2223, 5527, 779, 9913, 2872, 3812, 513, 7641, 3126, 24018, 1310, 519, 1977, 2504, 968, 308, 16744, 5975, 1399, 1848, 634, 1291, 1915, 568, 711, 513, 3771, 321, 5424, 540, 3983, 9939, 267, 855, 513, 15520, 11280, 796, 3430, 847, 633, 1762, 4807, 945, 7319, 12923, 5103, 1200, 26101, 7592, 1765, 3697, 519, 7715, 563, 28082, 7111, 1977, 2278, 15593, 2006, 5981, 773, 2934, 519, 7715, 538, 1896, 540, 1010, 9954, 267, 4730, 609, 1585, 10409, 3096, 540, 519, 6177, 543, 519, 2262, 602, 723, 2919, 936, 5553, 269, 769, 1010, 2038, 6648, 968, 294, 8681, 15948, 267, 519, 2140, 1915, 568, 5189, 607, 606, 968, 1245, 7715, 540, 513, 4807, 2223, 513, 4137, 540, 4633, 602, 8813, 538, 609, 519, 12428, 543, 824, 2686, 5380, 540, 524, 4900, 607, 30299, 543, 562, 698, 3101, 269, 634, 7715, 568, 1031, 538, 968, 290, 992, 4425, 558, 892, 547, 1628, 513, 4137, 540, 1480, 812, 3125, 563, 23682, 5112, 2296, 9218, 7389, 519, 522, 2381, 748, 2165, 968, 332, 584, 1457, 540, 524, 4900, 892, 547, 693, 2547, 519, 476, 1724, 628, 2540, 538, 5664, 2296, 269, 634, 29721, 568, 796, 3553, 339, 1194, 267, 1498, 1034, 4122, 519, 8360, 2495, 968, 4148, 1442, 540, 524, 4900, 892, 568, 13615, 547, 519, 6177, 779, 3109, 2681, 267, 10792, 524, 1177, 630, 2254, 6653, 5283, 21288, 5017, 784, 1070, 543, 922, 1909, 607, 513, 6177, 540, 1286, 337, 542, 563, 2026, 609, 824, 12572, 3156, 540, 519, 2262, 968, 322, 992, 2223, 8129, 540, 519, 8360, 968, 553, 519, 7715, 13733, 892, 616, 711, 3551, 569, 4448, 547, 1883, 4162, 540, 519, 6177, 269, 595, 4900, 1810, 1406, 8038, 538, 2523, 2786, 3515, 3448, 547, 824, 27540, 5017, 267, 4352, 789, 1131, 2951, 811, 2047, 998, 519, 2011, 982, 3425, 538, 513, 2413, 4155, 3118, 1062, 610, 1256, 1175, 936, 2244, 609, 922, 15113, 543, 8933, 269, 968, 2026, 519, 7715, 13733, 892, 9356, 513, 2631, 540, 3483, 4767, 538, 519, 1351, 341, 13160, 1920, 602, 856, 337, 12584, 865, 1082, 4130, 543, 30042, 5017, 538, 1480, 2686, 3096, 563, 2108, 2414, 7715, 892, 1797, 547, 30107, 1765, 17141, 1073, 333, 2135, 13124, 1765, 12671, 606, 9740, 269, 17957, 267, 952, 2576, 568, 1767, 547, 968, 17647, 547, 3548, 7715, 2223, 713, 1797, 513, 7142, 610, 1208, 8270, 908, 3284, 1108, 585, 1373, 9863, 4636, 1310, 7715, 532, 827, 1373, 1318, 563, 763, 7715, 568, 711, 4805, 1851, 2831, 538, 7674, 2528, 2275, 1484, 532, 12572, 5107, 269, 10738, 519, 6177, 1920, 267, 585, 1383, 267, 519, 890, 659, 1442, 949, 1796, 585, 28370, 269, 19529, 839, 1397, 909, 538, 5515, 540, 4633, 607, 1236, 8636, 880, 267, 26093, 267, 1256, 31945, 563, 21953, 267, 519, 7715, 6763, 6306, 689, 519, 936, 31186, 18986, 558, 540, 968, 12704, 1532, 11712, 2223, 1317, 649, 723, 6444, 2818, 540, 519, 7715, 1920, 267, 1519, 986, 26223, 267, 607, 21273, 982, 519, 3328, 905, 9312, 26600, 269, 13298, 982, 18174, 880, 610, 23387, 899, 519, 9269, 267, 5553, 540, 1480, 4529, 723, 15527, 547, 519, 7715, 779, 5615, 607, 15931, 543, 4412, 4854, 267, 543, 711, 547, 581, 771, 637, 4624, 269, 10558, 1554, 6915, 268, 17595, 1670, 1382, 1631, 9727, 22905, 4987, 543, 2362, 1931, 1514, 2623, 538, 2789, 7715, 2249, 563, 4322, 5017, 849, 10880, 3425, 607, 1561, 321, 2406, 8746, 269, 769, 513, 4936, 1014, 12563, 339, 1446, 267, 524, 4900, 616, 2808, 519, 579, 6921, 5006, 5017, 269, 1879, 2696, 1572, 782, 519, 5017, 547, 1397, 741, 15556, 543, 581, 25552, 267, 646, 729, 865, 1055, 2105, 676, 519, 7715, 9002, 602, 646, 22883, 543, 5143, 519, 3993, 547, 979, 1265, 513, 811, 10694, 4816, 269, 769, 519, 1439, 267, 2696, 12196, 525, 519, 3993, 543, 4816, 524, 4900, 1317, 1352, 23217, 8120, 543, 1767, 1352, 8959, 693, 519, 9028, 282, 2696, 6444, 602, 519, 7715, 9863, 1169, 3993, 779, 1126, 568, 519, 1034, 4190, 547, 1200, 563, 290, 4900, 666, 946, 2645, 267, 1293, 267, 3442, 267, 543, 4188, 2623, 547, 2769, 4664, 971, 607, 16236, 543, 14017, 269, 595, 4900, 2933, 949, 1256, 1589, 538, 12746, 625, 1765, 6343, 1522, 513, 26600, 540, 3425, 581, 1572, 676, 519, 7715, 286, 0, 1692, 798, 1216, 5134, 3595, 21109, 1949, 960, 286, 307, 320, 675, 333, 595, 832, 514, 773, 454, 763, 1775, 300, 626, 21109, 1062, 543, 2757, 3595, 20057, 2401, 1949, 960, 538, 519, 1482, 1259, 950, 621, 2501, 547, 11852, 950, 972, 568, 513, 3595, 269, 5637, 1949, 6632, 519, 2627, 540, 519, 4492, 267, 543, 519, 4478, 1858, 267, 547, 3579, 543, 16401, 519, 3595, 899, 513, 24120, 540, 1216, 269, 1717, 267, 1152, 454, 1492, 1216, 5134, 3595, 21109, 1949, 960, 538, 782, 454, 22764, 2081, 8195, 267, 609, 8766, 1216, 547, 24773, 880, 513, 3595, 3248, 268, 16270, 11852, 540, 513, 1216, 5134, 30979, 267, 519, 1062, 786, 2253, 547, 11166, 1164, 2604, 1216, 5134, 269, 634, 5134, 786, 6445, 519, 476, 1626, 332, 273, 1858, 630, 704, 30979, 264, 609, 513, 5386, 5134, 1107, 799, 786, 2951, 1472, 519, 4055, 267, 14927, 523, 782, 7252, 621, 666, 1205, 547, 543, 3976, 267, 6615, 3595, 10825, 563, 268, 1879, 519, 1216, 568, 26809, 693, 513, 1164, 2604, 267, 519, 4055, 2837, 568, 4389, 13497, 1813, 547, 513, 5114, 1063, 519, 3728, 2173, 8221, 21617, 2011, 6675, 543, 1216, 6675, 1996, 519, 3002, 689, 519, 3595, 267, 1454, 899, 4411, 2011, 8420, 5217, 3905, 2011, 563, 268, 1306, 519, 1216, 5134, 814, 1463, 3346, 609, 519, 18723, 267, 621, 7140, 883, 9252, 269, 634, 9252, 5536, 1287, 771, 2897, 519, 5135, 5536, 1472, 519, 3595, 543, 3976, 267, 3411, 665, 919, 519, 3595, 563, 19284, 1082, 21035, 8874, 267, 1152, 519, 1100, 26072, 13883, 538, 519, 1858, 540, 519, 3595, 786, 5305, 519, 5134, 269, 0, 294, 1484, 7443, 14345, 543, 2121, 7443, 14345, 616, 1079, 1271, 2883, 14573, 602, 666, 1028, 525, 875, 19311, 707, 2754, 568, 563, 4407, 789, 1312, 1445, 593, 20656, 267, 891, 1079, 616, 1114, 538, 875, 789, 2708, 707, 2754, 779, 4238, 269, 4658, 1419, 1205, 11821, 1063, 519, 1079, 267, 543, 741, 946, 2665, 563, 2171, 616, 1934, 547, 948, 596, 2736, 1524, 891, 3604, 2059, 609, 4143, 1806, 269, 3371, 649, 979, 563, 1432, 568, 7443, 888, 1103, 2241, 2474, 267, 7443, 568, 519, 2724, 12236, 676, 606, 16724, 689, 4881, 741, 1870, 1310, 782, 9276, 630, 322, 739, 338, 540, 2326, 267, 552, 4467, 12692, 3896, 267, 23269, 267, 5201, 267, 3092, 4700, 723, 1044, 6976, 563, 3682, 7257, 568, 519, 4747, 602, 3788, 1310, 519, 2698, 8907, 689, 513, 1870, 568, 10208, 539, 689, 782, 519, 3790, 2404, 609, 4881, 602, 1870, 563, 1432, 568, 519, 7443, 14345, 888, 3682, 7257, 14345, 568, 7229, 607, 513, 6871, 676, 12270, 519, 7443, 676, 2698, 8907, 269, 30825, 14345, 2337, 596, 1174, 519, 3017, 1063, 1114, 5370, 602, 596, 616, 9513, 543, 875, 19311, 621, 568, 563, 2690, 1383, 267, 952, 649, 2161, 602, 9513, 536, 4593, 7057, 2228, 814, 513, 7443, 14345, 540, 476, 3374, 260, 543, 9513, 29167, 2228, 814, 513, 7443, 14345, 540, 476, 3583, 10065, 1411, 1131, 1174, 602, 9513, 29167, 786, 723, 513, 2362, 4747, 3379, 547, 519, 3790, 3238, 563, 1432, 568, 24162, 30825, 12540, 514, 888, 294, 1484, 7443, 14345, 3800, 875, 19311, 513, 2754, 568, 676, 12570, 519, 3017, 538, 8907, 6383, 689, 6455, 543, 519, 1463, 3790, 2404, 609, 6721, 610, 3246, 519, 5370, 610, 2533, 4421, 563, 763, 4542, 585, 12719, 14407, 7443, 14345, 568, 607, 5205, 912, 294, 1484, 30825, 12540, 514, 815, 630, 294, 1484, 30825, 1315, 28521, 264, 1535, 476, 1911, 454, 8489, 281, 24162, 30825, 815, 28521, 1107, 8779, 540, 6153, 338, 22307, 630, 4596, 14899, 994, 294, 1484, 7443, 568, 1018, 779, 2451, 689, 8907, 1310, 18946, 519, 3790, 2047, 13615, 547, 6721, 519, 5370, 610, 2533, 4421, 563, 4596, 14899, 2356, 2882, 9276, 899, 6151, 2326, 267, 11668, 3238, 538, 2504, 267, 543, 5663, 16841, 563, 1432, 568, 4880, 30825, 12540, 514, 888, 15187, 7443, 14345, 3947, 596, 513, 6626, 2631, 540, 707, 2754, 4238, 269, 1403, 14407, 14345, 3217, 883, 7156, 1463, 3790, 3238, 950, 9513, 267, 4880, 14345, 3217, 1463, 607, 1134, 607, 9940, 9276, 883, 7156, 899, 5665, 9276, 267, 9204, 267, 1719, 267, 3092, 563, 15187, 7443, 14345, 27786, 519, 2949, 20656, 540, 513, 2754, 267, 2921, 883, 2272, 782, 9276, 267, 1519, 1312, 1463, 3790, 630, 4596, 14899, 264, 543, 9940, 9276, 454, 763, 4542, 585, 12719, 2121, 7443, 14345, 568, 607, 5205, 912, 15187, 30825, 12540, 514, 815, 630, 15187, 30825, 1315, 28521, 264, 1535, 476, 1911, 454, 8489, 281, 4880, 30825, 815, 28521, 1107, 11192, 5890, 5151, 454, 15187, 7443, 568, 1018, 779, 2451, 538, 519, 4871, 1310, 18946, 782, 519, 9276, 689, 519, 8907, 269, 1452, 9276, 3382, 3388, 689, 2910, 14899, 547, 5665, 9276, 267, 1719, 267, 9204, 267, 543, 1022, 824, 3790, 519, 2754, 12217, 563, 30131, 1870, 9276, 547, 2015, 454, 2414, 948, 938, 1620, 540, 519, 3017, 1063, 14407, 7443, 14345, 543, 2121, 7443, 14345, 267, 1577, 779, 4685, 513, 2370, 4514, 883, 1463, 543, 9940, 9276, 563, 4131, 779, 1491, 519, 1383, 540, 4238, 2196, 676, 606, 2228, 9925, 749, 2044, 1870, 269, 634, 1592, 540, 9276, 568, 607, 5205, 912, 21798, 540, 6153, 338, 22307, 630, 4596, 14899, 994, 2026, 5018, 1354, 267, 2910, 14899, 6227, 782, 519, 1463, 3790, 5532, 547, 1818, 610, 12419, 519, 5370, 610, 2533, 4421, 676, 513, 2754, 563, 2005, 2882, 9276, 899, 6151, 2326, 267, 11668, 3790, 2047, 1644, 547, 2504, 267, 543, 5663, 16841, 563, 2690, 606, 2228, 9925, 749, 2044, 1870, 267, 519, 2910, 14899, 2882, 519, 1463, 3790, 2404, 609, 6721, 610, 11449, 519, 9925, 749, 2044, 3688, 789, 6133, 563, 4322, 3790, 1223, 1331, 912, 320, 269, 1733, 3421, 1446, 610, 5663, 3790, 281, 1403, 519, 1870, 6272, 543, 3302, 999, 922, 9925, 749, 2044, 267, 621, 786, 1331, 519, 1942, 540, 6151, 2326, 630, 324, 3052, 1421, 8407, 267, 17576, 18429, 264, 543, 2504, 11668, 563, 321, 269, 27619, 3790, 281, 1403, 519, 1870, 2959, 9925, 749, 2044, 689, 14273, 267, 519, 1942, 540, 11449, 8737, 4773, 689, 17783, 531, 619, 610, 9755, 786, 581, 851, 540, 519, 2910, 14899, 563, 23330, 908, 5890, 5151, 630, 8008, 13052, 994, 23330, 908, 9276, 616, 9940, 9276, 30309, 547, 2196, 519, 1554, 3562, 6377, 4238, 540, 513, 1870, 269, 1358, 616, 711, 2047, 13615 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1454, 267, 5140, 7778, 2439, 332, 337, 318, 1723, 6332, 454, 2690, 1297, 476, 1428, 267, 594, 1705, 519, 1739, 912, 259, 343, 318, 272, 1341, 1535, 318, 273, 1341, 276, 343, 318, 273, 815, 476, 272, 14204, 259, 343, 318, 274, 815, 476, 278, 270, 2420, 14204, 259, 343, 318, 272, 1341, 1535, 318, 273, 815, 910, 1724, 270, 2420, 14204, 259, 343, 318, 272, 815, 910, 1724, 270, 2420, 910, 1535, 318, 273, 14204, 259, 343, 318, 273, 815, 910, 1724, 270, 2420, 910, 1535, 318, 272, 6911, 2330, 309, 815, 1422, 3847, 28381, 11513, 3847, 314, 11513, 8218, 15204, 2410, 265, 346, 736, 348, 322, 348, 2715, 268, 1724, 270, 2420, 910, 521, 348, 8607, 2715, 268, 1724, 270, 2420, 910, 521, 348, 8607, 2715, 476, 271, 266, 476, 278, 270, 2420, 27874, 1422, 754, 15204, 348, 7684, 1422, 2431, 316, 347, 338, 1422, 514, 1422, 13992, 23334, 3686, 1422, 2431, 315, 15732, 11377, 3847, 314, 11513, 8218, 15204, 2410, 265, 346, 736, 348, 322, 348, 2715, 343, 318, 272, 7684, 8607, 2715, 343, 318, 273, 7684, 8607, 2715, 343, 318, 274, 348, 8607, 1422, 754, 15204, 348, 7684, 1422, 2431, 316, 815, 1422, 3847, 314, 11513, 8218, 15204, 2410, 265, 346, 736, 348, 322, 348, 910, 1724, 270, 2420, 8607, 910, 1724, 270, 2420, 8607, 476, 271, 11138, 1422, 754, 15204, 348, 7684, 1422, 2431, 316, 1341, 1422, 3847, 314, 11513, 8218, 15204, 2410, 265, 346, 736, 348, 322, 348, 910, 272, 8607, 910, 272, 8607, 476, 278, 270, 2420, 11138, 1422, 754, 15204, 348, 7684, 1422, 2431, 316, 338, 9681, 323, 573, 1775, 798, 602, 1318, 610, 1705, 1775, 17684, 1474, 2251, 909, 286, 8729, 780, 29094, 4477, 704, 454, 28989, 267, 594, 729, 2476, 585, 513, 1247, 692, 2005, 4667, 3368, 28878, 1862, 1924, 649, 723, 1384, 11377, 3847, 28381, 1422, 8218, 346, 326, 9312, 348, 1535, 1341, 586, 1341, 476, 276, 345, 815, 476, 272, 1422, 327, 15640, 8607, 1535, 1341, 586, 815, 910, 476, 1724, 270, 2420, 1422, 327, 15640, 8607, 1990, 815, 476, 278, 270, 2420, 1422, 327, 15640, 8607, 1422, 754, 346, 326, 9312, 348, 1422, 2431, 269, 1422, 29381, 21375, 1422, 3847, 28381, 1422, 8218, 346, 326, 9312, 348, 1535, 1341, 586, 815, 476, 272, 910, 476, 276, 345, 815, 910, 476, 1724, 270, 2420, 1422, 327, 15640, 8607, 1535, 1341, 586, 815, 910, 476, 1724, 270, 2420, 1422, 327, 15640, 8607, 1990, 815, 476, 278, 270, 2420, 1422, 327, 15640, 8607, 1422, 754, 346, 326, 9312, 348, 1422, 2431, 9681, 3086, 596, 1294, 602, 519, 1101, 476, 273, 4834, 616, 519, 1482, 267, 865, 649, 1205, 547, 3442, 476, 272, 630, 2224, 995, 264, 4756, 267, 1934, 2901, 1535, 610, 586, 269, 594, 3513, 3442, 586, 267, 865, 1577, 1269, 344, 815, 521, 16859, 11377, 3847, 28381, 1422, 8218, 346, 326, 9312, 348, 1535, 815, 910, 476, 1724, 270, 2420, 910, 521, 1422, 327, 15640, 8607, 586, 815, 521, 1422, 327, 15640, 8607, 1990, 815, 476, 278, 270, 2420, 1422, 327, 15640, 8607, 1422, 754, 346, 326, 9312, 348, 1422, 2431, 9681, 3383, 649, 723, 519, 1739, 3435, 1305, 692, 2330, 309, 815, 1422, 3847, 28381, 11513, 3847, 314, 11513, 8218, 15204, 2410, 265, 346, 736, 348, 322, 348, 2715, 910, 476, 1724, 270, 2420, 910, 521, 348, 8607, 521, 8607, 2715, 278, 270, 2420, 348, 8607, 1422, 754, 15204, 348, 7684, 1422, 2431, 316, 347, 338, 1422, 514, 1422, 13992, 23334, 3686, 1422, 2431, 315, 15732, 1103, 4164, 13011, 1106, 713, 1131, 2285, 630, 31296, 1141, 972, 568, 1100, 521, 256, 1990, 568, 967, 788, 539, 656, 540, 521, 256, 2020, 11377, 3847, 314, 11513, 8218, 15204, 2410, 265, 346, 736, 348, 322, 348, 1535, 8607, 586, 8607, 1990, 8607, 1422, 754, 15204, 348, 7684, 1422, 2431, 316, 815, 1422, 3847, 314, 11513, 8218, 15204, 2410, 265, 346, 736, 348, 322, 348, 2715, 910, 476, 1724, 270, 2420, 348, 8607, 476, 271, 8607, 2715, 278, 270, 2420, 348, 8607, 1422, 754, 15204, 348, 7684, 1422, 2431, 316, 1341, 1422, 3847, 314, 11513, 8218, 15204, 2410, 265, 346, 736, 348, 322, 348, 2715, 910, 476, 272, 348, 8607, 476, 272, 8607, 476, 271, 8607, 1422, 754, 15204, 348, 7684, 1422, 2431, 316, 338, 9681, 332, 337, 318, 1723, 6332, 454, 12552, 620, 582, 256, 20994, 594, 6415, 2731, 3983, 609, 891, 543, 519, 7548, 4769, 1405, 2491, 13544, 692, 29094, 4477, 704, 454, 296, 4126, 621, 781, 811, 2312, 1631, 267, 1810, 1405, 19292, 547, 2307, 585, 811, 3877, 692, 332, 337, 318, 1723, 6332, 454, 4537, 21289, 1862, 296, 1175, 11643, 602, 2626, 543, 621, 729, 4636, 267, 1924, 1775, 4682, 1394, 543, 4737, 4389, 543, 594, 1589, 594, 3190, 539, 909, 269, 594, 666, 1405, 4737, 2569, 1022, 2417, 1287, 713, 666, 594, 888, 347, 272, 476, 272, 476, 276, 476, 272, 2008, 347, 276, 476, 275, 910, 273, 910, 274, 2008, 268, 276, 305, 272, 1341, 681, 273, 9847, 681, 273, 454, 347, 272, 476, 272, 476, 276, 476, 272, 11406, 347, 271, 910, 272, 910, 2767, 910, 279, 347, 692, 12179, 2251, 1775, 798, 1631, 1175, 512, 6390, 525, 856, 513, 476, 271, 543, 12662, 1394, 513, 1297, 269, 2201, 519, 610, 793, 531, 1966, 594, 1287, 2219, 594, 1223, 798, 681, 272, 266, 305, 273, 780, 3383, 594, 6415, 2451, 609, 454, 343, 20742, 266, 276, 345, 815, 476, 272, 454, 3917, 910, 476, 2767, 345, 815, 910, 279, 454, 1692, 798, 596, 3442, 1018, 4756, 596, 1577, 521, 547, 3160, 888, 8025, 3471, 780, 29094, 4477, 704, 454, 25105, 267, 594, 4769, 1405, 2638, 519, 3312, 2042, 547, 1294, 952, 707, 4505, 960, 729, 2953, 563, 3383, 649, 723, 519, 3355, 1966, 1384, 11377, 3847, 28381, 1422, 8218, 346, 326, 9312, 348, 1535, 1341, 586, 1341, 476, 276, 345, 815, 476, 272, 1422, 327, 15640, 8607, 476, 276, 343, 1341, 476, 275, 344, 910, 476, 273, 345, 815, 910, 476, 274, 1422, 327, 15640, 8607, 1422, 754, 346, 326, 9312, 348, 1422, 2431, 9681, 1103, 5119, 27322, 1384, 11377, 3847, 263, 11513, 8218, 15204, 2410, 265, 346, 736, 348, 322, 348, 476, 272, 1299, 476, 272, 1299, 476, 276, 1299, 476, 272, 8607, 476, 276, 1299, 476, 275, 1299, 2715, 910, 476, 273, 348, 1299, 2715, 910, 476, 274, 348, 8607, 1422, 754, 15204, 348, 7684, 1422, 2431, 264, 9681, 3086, 267, 1018, 596, 1705, 568, 2953, 855, 621, 781, 711, 8737, 2943, 267, 596, 666, 2569, 811, 563, 32207, 958, 267, 1310, 2407, 4737, 5786, 267, 596, 1058, 1205, 1384, 11377, 3847, 263, 11513, 8218, 15204, 2410, 265, 346, 736, 348, 322, 348, 476, 272, 1299, 476, 271, 1299, 2715, 910, 476, 2420, 348, 1299, 2715, 910, 476, 278, 348, 8607, 476, 271, 1299, 476, 272, 1299, 2715, 2767, 348, 1299, 476, 279, 8607, 1422, 754, 15204, 348, 7684, 1422, 2431, 264, 9681, 4692, 596, 1491, 621, 689, 1934, 2496, 29094, 4477, 704, 454, 11039, 267, 3592, 2433, 2020, 5278, 3602, 538, 519, 1647, 267, 596, 1577, 1269, 345, 815, 521, 8961, 865, 596, 1205, 1384, 11377, 3847, 314, 11513, 8218, 15204, 2410, 265, 346, 736, 348, 322, 348, 1535, 8607, 586, 8607, 1990, 8607, 1422, 754, 15204, 348, 7684, 1422, 2431, 316, 815, 1422, 3847, 314, 11513, 8218, 15204, 2410, 265, 346, 736, 348, 322, 348, 2715, 910, 476, 278, 348, 8607, 476, 279, 8607, 476, 271, 8607, 1422, 754, 15204, 348, 7684, 1422, 2431, 316, 1341, 1422, 3847, 314, 11513, 8218, 15204, 2410, 265, 346, 736, 348, 322, 348, 2715, 2420, 348, 8607, 2715, 910, 476, 2767, 348, 8607, 476, 272, 8607, 1422, 754, 15204, 348, 7684, 1422, 2431, 316, 338, 9681, 332, 337, 318, 1723, 6332, 454, 1695, 327, 865, 2673, 267, 875, 1705, 596, 1205, 513, 476, 272, 585, 1990, 888, 1103, 519, 4834, 267, 1775, 2760, 12193, 585, 1990, 267, 1775, 1175, 1577, 1990, 815, 521, 267, 543, 1990, 2141, 1185, 561, 476, 833, 476, 736, 610, 476, 2767, 607, 513, 8107, 1553, 550, 267, 7064, 585, 519, 948, 287, 692, 29094, 4477, 704, 454, 29012, 267, 855, 1317, 1990, 815, 521, 267, 519, 1071, 25612, 1553, 328, 25612, 660, 540, 521, 585, 1990, 568, 476, 272, 267, 1100, 286, 1809, 972, 568, 1100, 3586, 267, 8754, 519, 476, 271, 568, 538, 519, 1101, 6241, 269, 898, 781, 711, 1317, 596, 12990, 1990, 602, 621, 7106, 8986, 13718, 332, 337, 318, 1723, 6332, 454, 15121, 327, 327, 256, 11289, 596, 585, 602, 7778, 2439, 29094, 4477, 704, 454, 5591, 1966, 0, 258, 4208, 1250, 25482, 31992, 540, 513, 13306, 781, 3068, 3085, 1405, 960, 2496, 301, 289, 5225, 2433, 4291, 17014, 946, 2665, 616, 2139, 693, 519, 1439, 540, 713, 2243, 269, 594, 2253, 713, 2243, 676, 6029, 596, 519, 2042, 540, 1250, 1982, 267, 1287, 594, 2491, 875, 519, 8545, 1568, 267, 543, 6368, 594, 1439, 909, 609, 891, 1312, 4291, 17014, 946, 2665, 780, 258, 1548, 594, 1616, 547, 798, 692, 296, 1616, 547, 2721, 519, 5377, 3068, 540, 513, 13306, 269, 1677, 798, 602, 267, 594, 11410, 25544, 1063, 519, 476, 275, 14622, 540, 713, 3068, 269, 594, 946, 1079, 5686, 540, 31992, 23241, 272, 269, 12430, 692, 273, 269, 15328, 710, 692, 296, 917, 621, 781, 3335, 519, 2832, 540, 13382, 5825, 267, 855, 594, 4941, 547, 2936, 621, 8885, 547, 1451, 543, 2119, 519, 834, 1372, 788, 257, 6127, 540, 476, 274, 291, 17021, 780, 258, 11778, 692, 10376, 1448, 540, 519, 1739, 1312, 5961, 616, 11410, 565, 730, 1063, 519, 476, 275, 14622, 540, 519, 5377, 3068, 630, 21955, 519, 476, 279, 14622, 540, 1250, 13306, 6393, 1012, 2060, 5276, 31992, 692, 2005, 781, 15528, 267, 1100, 1966, 780, 1012, 2060, 25482, 31992, 692, 13286, 269, 1306, 596, 666, 1294, 267, 972, 568, 930, 20868, 1966, 2433, 3068, 781, 2798, 616, 20916, 2509, 2451, 780, 258, 1215, 798, 594, 11410, 25544, 1063, 476, 275, 2798, 26042, 296, 1449, 782, 519, 10659, 540, 31992, 781, 12035, 543, 267, 952, 519, 2040, 540, 519, 12035, 11224, 476, 272, 267, 594, 2721, 519, 4611, 1448, 269, 594, 917, 713, 1505, 568, 711, 1360, 1434, 630, 320, 2603, 540, 4616, 540, 17765, 543, 20433, 1070, 543, 972, 616, 623, 5918, 27289, 269, 1809, 713, 1966, 568, 630, 272, 264, 6281, 543, 630, 273, 264, 856, 540, 519, 2039, 540, 713, 29571, 7021, 6503, 2243, 780, 1103, 824, 1913, 2433, 519, 4214, 540, 519, 31992, 1063, 476, 275, 2798, 568, 2433, 623, 815, 513, 288, 1341, 536, 289, 1341, 524, 290, 1341, 546, 291, 269, 513, 1341, 536, 1341, 524, 1341, 546, 1590, 11224, 476, 272, 547, 2721, 623, 267, 6382, 621, 781, 711, 6537, 269, 630, 320, 282, 321, 282, 322, 282, 323, 264, 1422, 514, 1496, 271, 282, 272, 316, 317, 275, 676, 519, 1259, 780, 288, 6405, 1383, 568, 630, 21163, 815, 476, 272, 264, 23241, 303, 815, 476, 271, 320, 1341, 476, 271, 321, 1341, 476, 271, 322, 1341, 476, 271, 323, 568, 10691, 6537, 692, 303, 815, 476, 271, 320, 1341, 476, 271, 321, 1341, 476, 271, 322, 1341, 476, 272, 323, 568, 6537, 692, 303, 815, 476, 271, 320, 1341, 476, 271, 321, 1341, 476, 272, 322, 1341, 476, 271, 323, 568, 6537, 692, 303, 815, 476, 271, 320, 1341, 476, 271, 321, 1341, 476, 272, 322, 1341, 476, 272, 323, 568, 10691, 6537, 692, 31756, 269, 9497, 296, 1449, 782, 519, 10659, 20257, 630, 8310, 568, 2433, 623, 815, 476, 272, 320, 1341, 476, 272, 321, 1341, 476, 272, 322, 1341, 476, 272, 323, 267, 799, 568, 711, 6537, 6393, 2414, 1449, 782, 891, 10659, 267, 594, 12055, 919, 593, 519, 12035, 267, 609, 513, 1900, 267, 1210, 16571, 542, 780, 1012, 8865, 540, 519, 5276, 31992, 692, 763, 1657, 4214, 3085, 1405, 1689, 2433, 623, 815, 513, 288, 1341, 536, 289, 1341, 524, 290, 1341, 546, 291, 780, 1012, 8865, 540, 519, 25482, 31992, 692, 763, 1657, 4214, 1281, 1689, 2433, 623, 815, 513, 288, 1341, 536, 289, 1341, 524, 290, 1341, 546, 291, 3587, 623, 815, 513, 262, 288, 1341, 536, 262, 289, 1341, 524, 262, 290, 1341, 546, 262, 291, 267, 609, 2433, 513, 262, 815, 476, 271, 269, 276, 263, 272, 910, 5430, 5416, 2608, 1422, 7032, 4297, 543, 519, 2856, 568, 519, 1482, 585, 519, 1614, 824, 12035, 780, 1607, 1007 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 14503, 1662, 11568, 538, 17889, 476, 273, 269, 272, 630, 277, 268, 280, 264, 910, 16847, 272, 1546, 1188, 630, 3445, 2187, 1103, 519, 2680, 540, 513, 21729, 617, 559, 2218, 8710, 267, 519, 4761, 2281, 14969, 19729, 18657, 2209, 602, 798, 1018, 8946, 12767, 1614, 1919, 547, 30817, 519, 13596, 888, 26670, 766, 27104, 720, 543, 6751, 301, 11318, 1198, 528, 454, 1889, 2559, 1143, 267, 2333, 605, 1723, 698, 592, 656, 2534, 267, 2333, 4017, 549, 4565, 770, 2534, 547, 2199, 1125, 28164, 543, 2333, 2890, 341, 6018, 1973, 2095, 547, 3986, 6765, 540, 11318, 4229, 454, 31711, 834, 15014, 301, 11318, 1198, 528, 4840, 309, 553, 617, 559, 2218, 8710, 568, 513, 6794, 15748, 676, 1018, 888, 763, 3984, 779, 17916, 4761, 3210, 454, 1432, 5933, 2049, 689, 4049, 3968, 547, 454, 21902, 545, 12982, 3210, 6794, 547, 25687, 547, 4049, 25687, 547, 23170, 8710, 563, 2252, 2451, 15860, 267, 1018, 666, 23170, 8710, 1291, 547, 888, 21296, 1418, 14524, 6794, 610, 1256, 2669, 454, 1432, 616, 519, 9019, 3928, 585, 25687, 888, 1432, 616, 519, 9019, 3928, 585, 23170, 8710, 888, 1432, 3123, 616, 585, 971, 513, 1804, 8390, 538, 519, 9019, 3928, 585, 23170, 8710, 888, 763, 1826, 540, 11763, 11248, 267, 519, 5817, 4576, 610, 454, 1260, 6473, 267, 519, 12557, 543, 519, 2186, 540, 21734, 3797, 454, 663, 4110, 540, 1062, 5821, 1459, 454, 1432, 568, 606, 3968, 602, 568, 7839, 2429, 519, 18072, 1572, 888, 20225, 3974, 630, 528, 23170, 8598, 994, 1432, 666, 25687, 1291, 547, 888, 5353, 3164, 2589, 543, 513, 1272, 17116, 2175, 1572, 834, 572, 10364, 454, 1692, 1281, 25687, 2049, 888, 20225, 3974, 4386, 950, 23633, 14471, 3444, 3984, 454, 8663, 13205, 543, 8267, 332, 23640, 454, 11243, 2185, 6121, 2942, 4551, 1883, 13596, 454, 292, 269, 2051, 328, 267, 918, 269, 623, 12149, 8205, 267, 623, 563, 288, 518, 1872, 514, 6242, 543, 715, 269, 23971, 527, 1938, 454, 1432, 2186, 540, 12896, 2318, 7103, 723, 1044, 7074, 607, 1757, 894, 454, 698, 757, 585, 25687, 888, 306, 269, 513, 16725, 639, 267, 30243, 10358, 268, 2942, 588, 20942, 19905, 267, 590, 269, 623, 12149, 8205, 267, 6790, 696, 269, 12877, 4094, 525, 267, 9373, 19905, 25599, 11089, 807, 267, 8290, 267, 13271, 267, 543, 454, 1432, 616, 519, 1034, 2693, 3123, 540, 25687, 538, 19440, 919, 888, 27026, 645, 1792, 696, 1421, 661, 31815, 328, 12946, 513, 23633, 918, 272, 23555, 267, 21890, 2125, 328, 7578, 838, 269, 543, 9373, 984, 716, 525, 838, 454, 1432, 616, 930, 2589, 2550, 1995, 607, 25687, 7140, 547, 4049, 25687, 888, 16391, 14524, 267, 3834, 6016, 325, 4288, 543, 5492, 3290, 454, 1432, 616, 930, 1806, 540, 519, 834, 704, 325, 4288, 17244, 257, 4767, 607, 519, 2068, 22264, 547, 1812, 25687, 888, 18183, 4288, 610, 12012, 2790, 4567, 267, 11506, 11919, 14915, 622, 454, 331, 341, 3149, 543, 23731, 22202, 630, 1372, 920, 848, 10729, 3977, 2999, 1789, 764, 994, 288, 11528, 12982, 3210, 547, 3968, 454, 31711, 4049, 25687, 454, 20225, 3974, 609, 835, 610, 811, 14524, 531, 454, 31711, 3590, 545, 769, 11987, 15863, 15540, 630, 528, 590, 7644, 306, 994, 288, 6794, 538, 799, 12982, 18657, 2209, 616, 5950, 6281, 547, 606, 11763, 543, 5924, 15779, 29405, 454, 30535, 786, 1459, 609, 29375, 302, 540, 891, 2185, 2175, 952, 3413, 21719, 676, 3590, 545, 769, 11987, 15863, 15540, 454, 268, 10610, 2837, 666, 2333, 1657, 476, 4343, 334, 290, 610, 6749, 454, 6874, 778, 344, 15258, 807, 630, 285, 3445, 536, 10975, 994, 268, 570, 778, 2988, 12795, 630, 285, 736, 22165, 26387, 26553, 994, 268, 654, 6195, 3436, 1321, 330, 610, 2999, 275, 330, 454, 31711, 3281, 839, 2218, 14640, 13611, 15863, 15540, 454, 288, 6794, 538, 799, 4550, 13611, 18657, 2209, 454, 516, 3161, 936, 4818, 839, 919, 585, 519, 11528, 12982, 454, 24978, 547, 606, 3968, 543, 5924, 15779, 29405, 3056, 547, 513, 454, 8063, 540, 4761, 21109, 454, 31711, 4049, 25687, 454, 20225, 3974, 23938, 609, 561, 12519, 3679, 2670, 2676, 565, 580, 22202, 543, 8650, 27327, 540, 2790, 4567, 454, 1432, 2175, 949, 581, 1459, 538, 513, 2013, 540, 834, 7116, 4733, 25687, 257, 888, 268, 1560, 2837, 3436, 4343, 334, 290, 610, 2999, 3607, 334, 290, 454, 268, 15679, 3436, 3445, 454, 268, 681, 305, 3436, 736, 610, 623, 4596, 273, 2999, 3953, 454, 268, 654, 6195, 3436, 1321, 330, 454, 268, 7984, 710, 3977, 281, 476, 272, 764, 270, 272, 11899, 10774, 337, 454, 31711, 23170, 8710, 454, 20225, 3974, 14001, 5492, 3290, 5103, 454, 1228, 12930, 5714, 759, 19895, 2787, 609, 2789, 1418, 14524, 454, 29687, 7495, 306, 1040, 23738, 3290, 543, 5409, 704, 325, 4288, 6281, 547, 454, 1692, 666, 596, 13209, 25687, 888, 18128, 2064, 540, 3968, 543, 11528, 4191, 540, 6553, 454, 1692, 666, 596, 13209, 4049, 25687, 888, 29797, 6016, 325, 4288, 609, 4191, 540, 1418, 14524, 454, 1692, 666, 596, 13209, 23170, 8710, 888, 14294, 881, 656, 2963, 540, 3834, 6016, 325, 4288, 543, 11528, 454, 1432, 616, 519, 7525, 1919, 596, 616, 3257, 547, 5544, 21729, 617, 559, 2218, 8710, 538, 513, 3461, 888, 268, 20548, 4809, 3406, 585, 3968, 454, 268, 6184, 18936, 540, 782, 16398, 454, 268, 16214, 540, 782, 703, 9545, 6018, 29259, 610, 824, 4914, 1560, 454, 268, 5136, 8877, 3617, 2528, 454, 268, 1520, 31019, 633, 9196, 2090, 454, 1432, 616, 519, 5216, 10368, 10526, 585, 21729, 617, 559, 2218, 8710, 888, 272, 269, 7388, 548, 1973, 1293, 543, 11186, 454, 273, 269, 3213, 698, 1637, 4567, 454, 274, 269, 5395, 636, 23386, 1377, 17669, 543, 646, 31154, 454, 275, 269, 1488, 614, 658, 1973, 3154, 2079, 454, 276, 269, 29175, 730, 16796, 14915, 622, 1377, 454, 277, 269, 7984, 1400, 1736, 543, 1381, 1005, 454, 278, 269, 12896, 28969, 454, 279, 269, 10552, 2528, 454, 1692, 1281, 21729, 617, 559, 2218, 8710, 812, 529, 325, 652, 622, 888, 26670, 2331, 13487, 3977, 267, 15672, 21729, 617, 7976, 267, 8611, 267, 2274, 4157, 26014, 2670, 267, 15214, 16744, 20945, 267, 570, 778, 344, 15258, 807, 267, 10539, 267, 4731, 320, 1047, 267, 23731, 22202, 267, 610, 5492, 3290, 454, 1692, 666, 596, 1521, 21729, 617, 559, 2218, 8710, 888, 31880, 573, 759, 19895, 2787, 543, 11808, 540, 30057, 1973, 454, 14179, 2541, 609, 7059, 6070, 3435, 267, 10686, 545, 11216, 267, 10551, 12775, 267, 23849, 641, 816, 832, 630, 3697, 524, 622, 3273, 26952, 267, 2415, 24100, 21729, 641, 816, 514, 264, 543, 14021, 7378, 3797, 454, 1432, 616, 834, 655, 2869, 545, 11216, 257, 888, 23777, 1227, 3376, 1606, 1051, 5300, 11216, 267, 538, 602, 789, 1521, 1312, 513, 21318, 540, 2901, 12896, 25698, 543, 5924, 12896, 24308, 4551, 454, 1432, 568, 834, 14545, 25244, 257, 888, 9556, 6819, 707, 1378, 4761, 3210, 454, 8266, 519, 476, 279, 7199, 2010, 540, 4761, 25244, 596, 4312, 1044, 6026, 454, 268, 14640, 15134, 582, 28845, 12489, 454, 268, 14640, 268, 1097, 339, 758, 710, 12489, 454, 268, 7261, 339, 758, 710, 13805, 21087, 626, 454, 268, 21210, 2573, 19188, 454, 268, 6348, 28104, 334, 845, 1808, 6491, 878, 12547, 5348, 628, 848, 454, 268, 27488, 9097, 25094, 10152, 454, 268, 2920, 17300, 3940, 595, 630, 335, 668, 4925, 27417, 26096, 1736, 543, 454, 514, 3031, 1080, 24405, 2670, 543, 6553, 994, 268, 595, 20294, 8803, 6950, 630, 560, 650, 11786, 994, 3963, 568, 519, 1106, 540, 4761, 25244, 1634, 607, 834, 322, 20294, 8803, 6950, 257, 1869, 11786, 888, 763, 1909, 540, 29416, 8803, 1355, 3797, 3788, 11786, 910, 4481, 2436, 29416, 8803, 6950, 2965, 2569, 9019, 269, 6736, 2487, 13849, 12845, 26087, 525, 267, 1100, 2312, 5583, 6818, 593, 29416, 8803, 1355, 23053, 543, 799, 2550, 5963, 4324, 454, 1432, 2185, 1919, 991, 547, 581, 6192, 1369, 1614, 3108, 547, 2327, 513, 3461, 3470, 1161, 25687, 5859, 15985, 956, 888, 9288, 5501, 14915, 622, 1377, 282, 3489, 1973, 4529, 1991, 547, 7245, 540, 11216, 267, 17982, 3376, 8552, 11216, 543, 17982, 476, 1789, 332, 299, 21515, 16358, 1355, 585, 5492, 3290, 610, 14915, 622, 1447, 982, 476, 275, 6515, 565, 13624, 454, 1432, 1614, 1919, 991, 547, 581, 6192, 1369, 3670, 3108, 547, 2327, 513, 3461, 3470, 1161, 25687, 5859, 15985, 956, 888, 7343, 569, 21729, 641, 816, 619, 547, 2226, 513, 1611, 27555, 2604, 630, 31778, 3160, 547, 610, 811, 982, 476, 4792, 6515, 29666, 282, 538, 519, 2680, 540, 6414, 656, 27555, 5492, 3290, 5103, 4320, 759, 19895, 2787, 2327, 596, 2268, 3844, 27625, 2604, 543, 2268, 3844, 27625, 5135, 25294, 282, 543, 1121, 324, 5501, 14915, 622, 952, 3355, 14915, 622, 729, 11506, 454, 1432, 568, 2808, 11506, 2157, 540, 14915, 622, 1282, 25687, 454, 20302, 303, 610, 811, 982, 610, 3160, 547, 476, 279, 7825, 670, 294, 543, 14662, 309, 302, 540, 811, 982, 610, 3160, 547, 476, 3583, 829, 1298, 543, 3339, 5314, 540, 14915, 622, 454, 7628, 5778, 28193, 8710, 267, 1946, 1281, 5160, 13526, 4288, 27298, 888, 1607, 568, 519, 1267, 540, 2530, 540, 21729, 558, 19318, 454, 339, 821, 547, 15672, 27555, 15135, 563, 7628, 5778, 28193, 8710, 267, 1281, 15466, 31887, 2333, 610, 6175, 888, 7628, 5778, 28193, 8710, 267, 1281, 27625, 2132, 2333, 610, 6175, 888, 7628, 5778, 28193, 8710, 267, 1281, 13487, 3977, 2333, 610, 6175, 888, 5719, 920, 848, 13487, 3977, 454, 1432, 1764, 568, 972, 547, 519, 11983, 10260, 1282, 5778, 28193, 8710, 888, 29995, 6281, 547, 11983, 10260, 5945, 689, 9451, 13887, 1560, 454, 325, 847, 675, 540, 519, 17818, 610, 1164, 5247, 25714, 3148, 454, 1432, 4523, 547, 25091, 7939, 1282, 5778, 28193, 8710, 888, 11514, 8306, 540, 25091, 7939, 540, 15672, 15466, 454, 1432, 568, 834, 332, 592, 527, 921, 6281, 5945, 7271, 257, 888, 309, 6018, 14207, 547, 519, 11983, 10260, 609, 2530, 540, 454, 2246, 648, 326, 1637, 267, 21729, 2214, 11047, 267, 543, 24405, 2670, 454, 1432, 616, 519, 5222, 540, 2789, 6281, 5945, 7271, 888, 299, 1601, 540, 10408, 9245, 8699, 543, 15176, 1648, 454, 1432, 4523, 547, 1863, 18119, 1282, 2789, 6281, 5945, 7271, 888, 5445, 616, 5950, 454, 1432, 616, 519, 1614, 11983, 3123, 540, 5778, 28193, 8710, 888, 8967, 1400, 10260, 8194, 267, 11983, 10260, 683, 22914, 543, 11983, 270, 788, 573, 1116, 606, 20469, 454, 1432, 616, 519, 5216, 812, 529, 325, 652, 566, 540, 5778, 28193, 8710, 888, 268, 9315, 13519, 7988, 337, 15219, 8926, 454, 268, 25841, 13487, 3977, 454, 268, 28206, 1078, 15672, 15466, 4187, 454, 268, 24953, 17119, 885, 454, 268, 16359, 543, 10444, 17211, 454, 268, 30521, 4919, 2963, 540, 9451, 13887, 17795, 563, 1432, 568, 834, 321, 2784, 344, 15258, 807, 257, 888, 6781, 17884, 958, 3500, 2295, 2962, 454, 1432, 568, 519, 1908, 638, 658, 2165, 585, 834, 1506, 13607, 3290, 257, 888, 20181, 1973, 2604, 454, 1692, 666, 596, 1521, 5778, 28193, 8710, 888, 268, 26198, 540, 703, 9545, 6018, 4320, 454, 268, 7358, 894, 3801, 547, 11689, 1242, 9451, 13887, 17795, 543, 22006, 454, 1432, 568, 834, 303, 1156, 1803, 31058, 257, 888, 288, 16496, 14668, 272, 14194, 1066, 21544, 13805, 30748, 626, 540, 519, 4307, 14007, 8533, 1362, 1031, 5097, 607, 513, 1232, 784, 652, 656, 454, 1432, 568, 519, 1034, 1455, 2014, 540, 834, 984, 560, 10614, 8710, 257, 888, 763, 4527, 540, 8082, 13969, 1054, 528, 1314, 630, 1492, 11636, 1628, 909, 540, 2011, 1369, 519, 9221, 781, 5418, 1116, 2230, 994, 1432, 568, 834, 15258, 13519, 512, 2086, 517, 1228, 257, 888, 763, 2604, 593, 519, 2295, 602, 4386, 950, 1973, 610, 5714, 13976, 909, 538, 519, 2230, 1063, 519, 2295, 4887, 543, 519, 9018, 8720, 5485, 540, 519, 2295, 454, 1432, 568, 513, 834, 335, 592, 14004, 2377, 565, 1143, 257, 888, 288, 6727, 31797, 538, 513, 5761, 16050, 454, 257, 4353, 290, 257, 568, 606, 896, 13440, 1758, 1242, 11769, 540, 24405, 2670, 14245, 269, 1548, 1281, 621, 1796, 585, 888, 763, 769, 2536, 1640, 966, 6511, 595, 6072, 454, 1432, 568, 1292, 2014, 540, 834, 335, 12149, 1054, 528, 1314, 257, 888, 288, 11579, 7992, 10138, 538, 519, 5247, 25714, 13570, 454, 1432, 666, 581, 513, 1455, 2014, 540, 834, 4944, 2632, 10389, 13969, 1054, 528, 1314, 257, 888, 763, 3461, 949, 581, 513, 15137, 518, 609, 19505, 454, 1432, 616, 519, 2947, 5929, 2081, 547, 13209, 30126, 8710, 1282, 513, 4791 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 454, 304, 281, 6904, 4845, 814, 519, 2953, 18781, 1931, 281, 513, 834, 15265, 1804, 3043, 30645, 1291, 27576, 834, 536, 834, 15265, 30645, 1804, 3043, 1291, 27576, 834, 15017, 288, 281, 513, 0, 9223, 281, 2290, 1554, 2073, 972, 729, 513, 9420, 812, 1572, 3627, 729, 593, 519, 14541, 609, 513, 11058, 676, 1010, 3952, 543, 513, 1129, 602, 1224, 2073, 834, 296, 993, 9420, 1547, 7490, 948, 803, 1547, 589, 3860, 1857, 626, 567, 3957, 8751, 729, 6972, 676, 519, 9420, 812, 543, 11074, 547, 1294, 602, 519, 812, 1152, 1185, 513, 1906, 11113, 538, 1010, 11058, 1547, 1261, 2322, 513, 1906, 540, 1010, 1378, 11113, 538, 519, 11058, 1547, 9453, 6998, 585, 10479, 2073, 646, 3576, 519, 1129, 2073, 5828, 621, 1472, 543, 5206, 513, 1007, 5048, 1547, 3973, 646, 2322, 519, 1129, 676, 519, 3952, 540, 519, 9420, 812, 543, 2451, 269, 13536, 602, 12784, 519, 1857, 626, 8120, 547, 519, 9420, 812, 543, 8068, 602, 1010, 11058, 729, 3592, 2407, 540, 12014, 543, 11113, 1547, 634, 9420, 812, 6444, 567, 1010, 3723, 25074, 543, 4280, 952, 621, 729, 646, 945, 1185, 4957, 1010, 1129, 1547, 1261, 849, 4941, 547, 917, 1018, 519, 812, 5206, 593, 621, 1547, 634, 1857, 626, 1767, 2073, 834, 296, 1175, 5206, 519, 5048, 513, 2370, 8335, 1547, 257, 1261, 20493, 543, 4682, 593, 1010, 1259, 269, 634, 1007, 1129, 1224, 2073, 834, 306, 7428, 814, 2097, 2073, 855, 594, 666, 1405, 1294, 4376, 1547, 257, 1215, 1705, 519, 9420, 812, 5431, 519, 1857, 626, 286, 567, 9041, 567, 4586, 288, 269, 1635, 1010, 1129, 563, 289, 269, 1635, 1010, 3723, 25074, 563, 290, 269, 1635, 1010, 5639, 454, 291, 269, 1635, 1010, 11113, 563, 12585, 281, 645, 0, 9223, 281, 5507, 814, 513, 1007, 12139, 269, 4913, 267, 527, 568, 711, 9102, 593, 1957, 1022, 811, 269, 25444, 945, 814, 513, 8613, 666, 4309, 621, 1317, 621, 568, 2907, 593, 7641, 256, 672, 769, 1931, 547, 1224, 713, 12139, 267, 9767, 991, 547, 723, 513, 1232, 18344, 9950, 778, 2985, 540, 621, 568, 22921, 267, 810, 596, 723, 547, 3866, 513, 1297, 547, 3442, 799, 1641, 596, 1616, 547, 1224, 827, 269, 2791, 723, 513, 2647, 3903, 540, 3584, 547, 3442, 689, 3887, 854, 2251, 689, 5986, 547, 519, 5767, 3377, 269, 672, 1403, 596, 1616, 547, 1224, 930, 3377, 32586, 1101, 3364, 596, 723, 547, 798, 568, 547, 2638, 693, 519, 4994, 2985, 799, 814, 606, 2653, 3562, 3146, 332, 1897, 2985, 1297, 267, 272, 476, 876, 585, 1383, 269, 5804, 2985, 476, 1911, 267, 9767, 666, 1287, 3442, 689, 519, 3377, 4930, 593, 2985, 476, 6200, 547, 476, 11820, 269, 5804, 1934, 267, 9767, 786, 723, 547, 1883, 538, 519, 2338, 1586, 7868, 333, 32586, 3377, 786, 2408, 2854, 2066, 707, 5496, 28560, 596, 1616, 547, 979, 856, 538, 519, 12784, 267, 9767, 666, 2046, 476, 8687, 25467, 513, 29116, 2681, 272, 539, 4365, 4786, 786, 2408, 593, 519, 5496, 269, 3719, 952, 596, 1616, 547, 4444, 930, 10464, 1919, 267, 9767, 666, 2046, 476, 14341, 585, 513, 1592, 540, 519, 3018, 781, 1655, 20476, 1622, 269, 4517, 2436, 596, 1058, 5397, 610, 1175, 1491, 519, 5721, 267, 9767, 666, 3274, 2046, 476, 6245, 585, 519, 6808, 1867, 20136, 1007, 12139, 593, 7641, 568, 1360, 2241, 547, 946, 269, 3719, 4440, 32586, 1655, 3364, 827, 519, 3028, 568, 602, 568, 1373, 8242, 782, 519, 942, 12282, 16067, 1235, 1826, 1007, 2326, 2047, 5196, 5496, 543, 519, 2985, 540, 519, 12139, 568, 8719, 538, 3764, 269, 672, 5507, 2907, 814, 1614, 2533, 269, 3080, 267, 10520, 4784, 676, 8668, 309, 2073, 529, 1572, 10758, 3722, 4041, 1247, 519, 824, 1079, 267, 517, 18917, 267, 732, 1572, 595, 7417, 11902, 311, 1317, 789, 1577, 596, 1294, 5013, 269, 7212, 595, 7417, 11902, 311, 543, 10758, 3722, 4041, 723, 1044, 5665, 585, 930, 942, 267, 789, 723, 711, 1044, 1134, 1857, 1242, 11065, 6195, 8030, 798, 711, 1589, 602, 741, 2856, 786, 2479, 5372, 2835, 543, 14786, 1317, 713, 1007, 8798, 666, 1405, 581, 3144, 609, 596, 16382, 596, 979, 269, 3719, 1082, 1004, 1131, 3858, 602, 713, 568, 513, 14634, 607, 1390, 607, 519, 8798, 540, 8228, 267, 799, 1223, 1689, 711, 1152, 938, 2542, 6208, 855, 849, 938, 19824, 269, 1548, 3584, 538, 519, 12139, 567, 9041, 567, 616, 5018, 888, 288, 269, 3377, 267, 4365, 267, 5986, 543, 6117, 454, 289, 269, 6808, 267, 10918, 267, 2542, 543, 4365, 454, 290, 269, 3377, 267, 10918, 267, 5986, 543, 6808, 454, 291, 269, 4365, 267, 6808, 267, 5986, 543, 10977, 454, 12585, 281, 595, 0, 454, 304, 281, 834, 3674, 12049, 513, 10178, 540, 20506, 23051, 286, 3657, 18793, 540, 7464, 28925, 25058, 525, 540, 13662, 294, 286, 769, 3864, 11176, 267, 621, 568, 3006, 2352, 547, 1832, 3950, 540, 519, 8994, 25621, 543, 771, 3697, 269, 634, 1739, 4661, 11394, 547, 12172, 930, 971, 1894, 281, 1677, 2253, 609, 267, 945, 1197, 568, 513, 1246, 518, 540, 631, 3147, 29422, 20052, 5025, 341, 643, 674, 290, 543, 606, 608, 23418, 7163, 540, 16423, 338, 31000, 8028, 568, 711, 606, 4274, 540, 17451, 2023, 674, 290, 269, 4475, 267, 1169, 4274, 540, 17451, 2023, 674, 290, 568, 711, 513, 1246, 518, 540, 631, 3147, 29422, 20052, 5025, 341, 643, 674, 290, 610, 711, 606, 608, 23418, 7163, 540, 16423, 338, 31000, 8028, 4799, 1772, 519, 4661, 267, 2016, 519, 12799, 7150, 22402, 267, 20952, 1947, 4570, 610, 23380, 888, 288, 281, 4570, 0, 9223, 281, 8361, 729, 689, 519, 2136, 2276, 543, 646, 1185, 2097, 547, 5507, 585, 513, 9702, 269, 2290, 1554, 646, 729, 711, 4743, 1134, 269, 476, 1924, 646, 729, 547, 519, 804, 17064, 693, 519, 11380, 540, 1010, 15678, 543, 1767, 267, 834, 296, 1616, 547, 1294, 513, 4387, 269, 2052, 596, 2285, 803, 519, 2012, 540, 513, 1434, 835, 8119, 634, 804, 17064, 6743, 538, 513, 1433, 267, 543, 1767, 267, 834, 7804, 269, 27578, 1701, 834, 3674, 646, 7199, 8119, 834, 11039, 2437, 519, 804, 17064, 12943, 267, 834, 515, 2141, 12134, 585, 1010, 2550, 1079, 6550, 585, 741, 1101, 3643, 547, 1864, 267, 543, 476, 272, 269, 276, 6550, 585, 2663, 3643, 1701, 8361, 4956, 825, 547, 4688, 476, 2004, 533, 775, 269, 1879, 646, 4682, 547, 1294, 519, 4387, 646, 1767, 267, 834, 296, 4312, 2097, 1586, 267, 4387, 1701, 1280, 513, 1906, 7643, 519, 4387, 6743, 693, 1010, 3068, 5402, 1510, 6031, 4376, 269, 3973, 646, 21330, 543, 1767, 267, 834, 17764, 267, 9811, 1701, 1261, 8947, 567, 1864, 543, 1287, 1767, 267, 834, 31819, 781, 2469, 607, 621, 1058, 798, 269, 3807, 3136, 476, 609, 519, 4915, 567, 594, 5795, 596, 2063, 942, 1701, 634, 1101, 3643, 547, 519, 4387, 1942, 476, 9041, 567, 2663, 3643, 563, 288, 269, 607, 1454, 607, 454, 289, 269, 1447, 982, 454, 290, 269, 811, 982, 454, 291, 269, 1100, 811, 982, 454, 12585, 281, 595, 0, 9223, 281, 2368, 3173, 10567, 602, 8983, 1223, 1451, 741, 1259, 1472, 513, 28618, 3533, 952, 2016, 513, 1426, 8007, 269, 2991, 1082, 8062, 267, 519, 2164, 3357, 1394, 855, 28209, 689, 519, 8367, 269, 1215, 1058, 519, 3173, 8399, 888, 12585, 281, 7797, 519, 2164, 8308, 543, 1287, 1106, 513, 1007, 8367, 269, 0, 9223, 281, 8419, 7472, 476, 10619, 2600, 540, 799, 20521, 4829, 6738, 538, 519, 7330, 267, 476, 4817, 260, 540, 799, 568, 9268, 267, 6140, 585, 519, 4013, 1533, 20892, 888, 12585, 281, 813, 1564, 2088, 0, 454, 9223, 281, 6904, 4845, 814, 519, 2953, 18781, 1931, 281, 513, 834, 1073, 333, 2135, 1190, 6739, 1286, 834, 536, 834, 6739, 1073, 333, 2135, 1190, 1286, 834, 15017, 476, 932, 7860, 281, 3097, 288, 269, 513, 454, 289, 269, 536, 454, 12585, 281, 589, 0, 454, 9223, 281, 6904, 4845, 814, 519, 2953, 18781, 1931, 281, 513, 834, 1659, 995, 2895, 24191, 6960, 22504, 11381, 834, 536, 834, 1659, 995, 6960, 2895, 24191, 22504, 11381, 834, 15017, 476, 932, 7860, 281, 3097, 288, 269, 513, 454, 289, 269, 536, 454, 12585, 281, 589, 0, 9223, 281, 589, 7623, 799, 6971, 5277, 2627, 8082, 267, 610, 8082, 1063, 1079, 15559, 610, 5277, 543, 4396, 630, 553, 798, 28052, 757, 267, 9087, 5446, 8069, 267, 543, 12165, 1218, 264, 568, 3622, 1572, 513, 888, 12585, 281, 606, 31020, 1147, 2399, 656 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 713, 616, 519, 3668, 540, 2797, 10100, 547, 9846, 9192, 10694, 3091, 12462, 335, 1638, 892, 3800, 264, 2966, 547, 22321, 1286, 10256, 547, 6467, 547, 1857, 3560, 543, 14884, 609, 6042, 602, 786, 10413, 5179, 1235, 12462, 335, 2313, 892, 3800, 1040, 2107, 547, 2322, 621, 1776, 1259, 281, 547, 1118, 6117, 20019, 796, 3430, 847, 633, 269, 968, 763, 2053, 1141, 519, 1286, 3217, 9551, 775, 936, 782, 824, 3029, 540, 3560, 616, 936, 2223, 646, 20147, 269, 19402, 1631, 267, 14761, 723, 695, 1221, 2476, 689, 29270, 5179, 1235, 609, 713, 5168, 563, 2467, 568, 13618, 538, 519, 3621, 2146, 602, 10694, 3091, 267, 971, 607, 4389, 268, 3433, 3560, 17914, 543, 2799, 4908, 540, 2533, 267, 1590, 581, 1166, 1678, 539, 676, 796, 3430, 847, 633, 3800, 585, 10256, 267, 971, 607, 2749, 17167, 338, 267, 547, 22321, 10256, 547, 4734, 741, 6517, 3297, 543, 5512, 513, 1483, 10688, 4838, 547, 1491, 1747, 269, 968, 19013, 267, 713, 20185, 814, 711, 3893, 998, 18481, 547, 14761, 543, 5310, 519, 3621, 2146, 849, 814, 547, 3180, 922, 1688, 909, 585, 2348, 8959, 547, 22321, 873, 2223, 3081, 5576, 14954, 525, 563, 763, 3804, 540, 519, 1382, 1788, 568, 547, 946, 2257, 547, 2263, 799, 7485, 543, 7903, 3800, 14761, 666, 946, 538, 4999, 609, 1142, 824, 547, 3035, 519, 1655, 2164, 607, 1134, 607, 799, 786, 1152, 4196, 547, 22599, 1142, 824, 856, 269, 968, 2171, 1616, 547, 946, 782, 938, 4681, 547, 1711, 2962, 2994, 585, 14519, 607, 513, 4493, 585, 5935, 513, 4264, 3560, 3609, 602, 2640, 2916, 1689, 2864, 982, 5179, 1235, 1848, 4340, 547, 5576, 14954, 525, 267, 713, 1797, 10205, 532, 519, 3609, 540, 3246, 2883, 15314, 585, 5179, 1235, 971, 607, 3454, 6450, 919, 585, 862, 5024, 267, 13564, 1944, 17088, 543, 519, 4781, 585, 3549, 547, 15558, 519, 3790, 540, 2754, 6517, 1996, 3454, 269, 0, 13828, 2249, 941, 16094, 12936, 676, 519, 476, 1001, 280, 270, 736, 17382, 18394, 563, 9213, 267, 519, 5045, 3887, 6141, 17953, 344, 3109, 2275, 1442, 520, 5622, 814, 1044, 7396, 607, 2048, 341, 592, 1676, 762, 8730, 543, 519, 7823, 1236, 1074, 7396, 607, 2048, 754, 11139, 685, 896, 5313, 2825, 1876, 563, 2691, 1818, 519, 23318, 267, 10579, 585, 519, 5113, 543, 4826, 570, 1415, 320, 1773, 9200, 572, 330, 1767, 17609, 513, 2249, 607, 12219, 896, 519, 5113, 454, 3682, 339, 1254, 543, 26085, 11094, 2920, 476, 1960, 280, 630, 7968, 6195, 2920, 264, 1797, 5726, 3646, 666, 581, 3177, 609, 3606, 1489, 543, 7616, 563, 10527, 3441, 3361, 676, 519, 4563, 14400, 17382, 18394, 568, 1869, 1373, 5433, 2221, 543, 666, 581, 2938, 10630, 538, 891, 1592, 902, 2221, 2223, 1767, 15516, 1773, 9200, 572, 330, 563, 10527, 11642, 1185, 606, 10373, 1764, 593, 938, 1604, 267, 689, 513, 1507, 16277, 850, 1336, 538, 519, 10239, 547, 513, 6177, 602, 568, 693, 1753, 593, 519, 5032, 1107, 972, 568, 1869, 513, 2603, 540, 960, 547, 798, 563, 10527, 8241, 6554, 814, 8149, 547, 9591, 519, 30540, 7111, 15661, 5358, 602, 786, 5818, 4027, 585, 1082, 12219, 2249, 899, 891, 267, 8396, 12362, 2249, 2676, 663, 7794, 5726, 4058, 2838, 896, 3084, 2825, 1876, 563, 2108, 4322, 1592, 902, 786, 2327, 519, 3922, 5314, 540, 6051, 3527, 547, 2149, 1312, 2249, 543, 2709, 5726, 5583, 593, 513, 3084, 4336, 3034, 763, 5045, 3887, 6141, 17953, 344, 3109, 2275, 1442, 520, 5622, 630, 290, 3315, 696, 528, 1506, 333, 577, 639, 561, 987, 9564, 561, 987, 9564, 264, 568, 1336, 538, 9678, 15649, 540, 22586, 454, 4725, 18945, 538, 519, 10239, 543, 1016, 531, 18090, 2127, 540, 15117, 267, 1715, 3162, 12986, 543, 519, 8241, 13317, 24540, 563, 14483, 5726, 3785, 1331, 593, 268, 3033, 3527, 971, 607, 12504, 2257, 12220, 543, 25640, 3444, 18191, 9766, 323, 12302, 5464, 267, 9566, 4216, 10380, 543, 3325, 1326, 566, 543, 4027, 454, 1993, 519, 3109, 1352, 587, 495, 334, 752, 267, 799, 568, 741, 1292, 2707, 540, 1426, 543, 7226, 563, 300, 841, 585, 8837, 0, 13775, 2228, 676, 11062, 2160, 4964, 281, 476, 2767, 4989, 476, 1708, 273, 454, 763, 1353, 4843, 1934, 568, 606, 10763, 543, 2930, 3408, 540, 519, 1761, 540, 4655, 22884, 538, 519, 13814, 269, 901, 1353, 3568, 1614, 17697, 1382, 3853, 269, 1677, 1376, 609, 267, 607, 6045, 538, 3848, 476, 272, 267, 713, 1353, 568, 547, 581, 9763, 607, 4909, 1382, 609, 2543, 547, 606, 15834, 1935, 9967, 540, 6561, 267, 22884, 543, 8901, 1646, 5380, 269, 19627, 267, 676, 12570, 543, 4570, 908, 519, 4081, 1871, 540, 4655, 22884, 538, 519, 13814, 267, 621, 568, 513, 29925, 1353, 269, 1656, 2063, 267, 676, 7598, 513, 1875, 29554, 4480, 593, 4609, 540, 2413, 4655, 547, 13182, 741, 2783, 543, 547, 4786, 891, 3788, 267, 621, 666, 581, 2808, 27696, 1382, 269, 1401, 14032, 1382, 3853, 941, 519, 1646, 540, 15456, 1382, 2055, 585, 4655, 22884, 538, 519, 13814, 269, 1772, 4655, 268, 1105, 2801, 1670, 1382, 2009, 693, 782, 286, 1215, 666, 4609, 540, 2487, 4655, 581, 4857, 286, 1215, 1898, 568, 519, 8244, 540, 3140, 2959, 543, 1058, 789, 2141, 581, 24019, 286, 1684, 649, 991, 513, 2027, 6561, 3609, 585, 2413, 4655, 5829, 4609, 286, 634, 9837, 568, 585, 3988, 547, 581, 2111, 547, 1174, 519, 1390, 1761, 540, 4609, 540, 2413, 4655, 267, 741, 15456, 6561, 543, 519, 13766, 540, 2417, 1382, 563, 3080, 540, 519, 1292, 10256, 585, 2413, 4655, 22884, 814, 1044, 2146, 1719, 267, 607, 7152, 609, 519, 1383, 540, 8053, 12397, 32576, 269, 9314, 3254, 676, 519, 2489, 1857, 814, 1044, 540, 2101, 2956, 585, 519, 10343, 543, 1646, 540, 4655, 22884, 538, 1082, 2477, 267, 1519, 519, 2136, 8003, 267, 19934, 630, 514, 1880, 674, 1633, 619, 264, 543, 5333, 269, 18366, 22884, 568, 16119, 12082, 538, 519, 17454, 12677, 1158, 269, 1280, 513, 1279, 942, 267, 4081, 24085, 1152, 1185, 513, 3908, 1719, 538, 519, 6561, 543, 22884, 540, 8916, 540, 2112, 269, 4014, 4587, 4655, 4609, 267, 8151, 689, 840, 20931, 909, 547, 13845, 565, 2946, 4577, 2053, 267, 941, 2356, 11567, 1369, 519, 5943, 540, 1776, 4990, 540, 1382, 267, 713, 814, 711, 1419, 1044, 31002, 4655, 22884, 269, 15316, 4081, 1382, 3785, 267, 15456, 14155, 725, 543, 24218, 1131, 711, 723, 1044, 2009, 1510, 519, 2810, 15456, 1719, 538, 519, 1888, 3254, 676, 519, 2489, 1857, 269, 634, 8226, 540, 22884, 5059, 593, 811, 2487, 21971, 267, 543, 4655, 814, 4957, 3648, 936, 519, 2250, 5756, 563, 6637, 476, 273, 12538, 883, 519, 3140, 5072, 543, 7811, 4282, 540, 4655, 22884, 267, 24152, 519, 1614, 1292, 6688, 540, 4655, 281, 22300, 267, 8978, 543, 2413, 269, 0, 25187, 568, 519, 1305, 540, 4808, 602, 1827, 3527, 543, 616, 8045, 676, 22257, 543, 1514, 24284, 269, 1703, 568, 930, 4661, 827, 519, 1808, 2495, 540, 7939, 269, 2368, 723, 1572, 621, 513, 2257, 1247, 1866, 1289, 621, 519, 968, 691, 540, 5126, 9731, 763, 6437, 540, 513, 2603, 540, 9086, 5238, 6238, 609, 4295, 6030, 538, 3540, 2126, 267, 16278, 267, 607, 1134, 607, 7555, 547, 647, 324, 269, 3245, 972, 267, 519, 2875, 666, 3442, 513, 7463, 607, 1134, 607, 13404, 593, 2013, 2090, 602, 616, 540, 6612, 547, 1864, 610, 1200, 269, 634, 3450, 2409, 8246, 1331, 12909, 267, 29468, 267, 1895, 2816, 267, 14245, 267, 607, 1134, 607, 1576, 13882, 269, 2368, 9086, 12621, 10123, 3761, 1053, 519, 7872, 547, 1353, 13383, 543, 12840, 609, 1483, 5561, 2944, 585, 1863, 269, 769, 519, 3355, 1906, 1296, 267, 519, 6437, 568, 1360, 11295, 543, 849, 6212, 593, 9301, 519, 9238, 540, 9086, 563, 24916, 713, 267, 519, 1353, 540, 9086, 11338, 2882, 13338, 607, 1134, 607, 5001, 1876, 269, 1452, 6042, 948, 538, 10747, 519, 3656, 1062, 540, 513, 2197, 543, 2697, 519, 3656, 2924, 540, 1004, 269, 589, 13338, 1876, 23933, 856, 519, 3044, 3741, 540, 513, 5313, 2229, 267, 543, 849, 621, 2882, 26959, 540, 6406, 23118, 269, 634, 9139, 11338, 21314, 519, 2783, 540, 5001, 7939, 269, 11153, 1526, 4801, 1683, 513, 1505, 540, 3045, 1638, 532, 30137, 9777, 725, 269, 589, 9139, 849, 814, 12417, 593, 519, 1599, 540, 2518, 9086, 543, 519, 10279, 540, 519, 10324, 538, 513, 1533, 563, 7197, 808, 291, 1178, 1091, 1491, 1747, 547, 3635, 9086, 538, 519, 2475, 269, 2368, 979, 593, 547, 960, 538, 12600, 1876, 2259, 543, 849, 607, 21088, 12665, 267, 855, 1082, 11338, 3343, 5313, 2229, 6009, 610, 519, 2489, 1857, 1719, 269, 8409, 609, 513, 808, 291, 2115, 547, 10123, 2015, 3681, 267, 971, 607, 4487, 779, 5232, 538, 1876, 269, 901, 568, 711, 547, 581, 11821, 609, 606, 26993, 8160, 1421, 799, 568, 513, 10927, 4110, 538, 9086, 269, 634, 26993, 300, 1377, 568, 6322, 693, 4914, 27466, 525, 609, 1876, 995, 10080, 607, 1134, 607, 666, 11338, 581, 2731, 5363, 6619, 540, 942, 741, 11678, 563, 763, 5650, 540, 4947, 547, 581, 513, 15818, 3217, 1296, 540, 2852, 2069, 543, 1565, 269, 1703, 616, 1896, 2027, 3074, 1369, 519, 1876, 995, 1858, 267, 607, 1134, 607, 621, 666, 581, 9157, 547, 4584, 799, 835, 568, 1318, 585, 596, 269, 19805, 513, 20614, 5673, 2390, 519, 1858, 540, 7939, 596, 6999, 547, 7500, 538, 267, 865, 621, 568, 1898, 547, 1265, 856, 607, 1454, 607, 596, 666, 1472, 1142, 1858, 1354, 8939, 513, 2852, 269, 898, 779, 513, 1360, 2352, 3375, 547, 1118, 267, 2705, 621, 779, 1271, 585, 2104, 1967, 563, 7212, 9086, 9872, 568, 513, 4416, 2880, 21677, 267, 621, 666, 581, 11815, 4328, 269, 3509, 10453, 1867, 602, 621, 779, 519, 1034, 4101, 4081, 1995, 540, 741, 2729, 269, 2755, 930, 27466, 525, 8853, 538, 621, 267, 1866, 6370, 269, 1677, 581, 2111, 547, 2824, 519, 4998, 2619, 267, 621, 779, 2629, 547, 1491, 930, 942, 547, 1451, 607, 1164, 607, 15164, 269, 1635, 2469, 1310, 606, 26993, 300, 267, 596, 3580, 3489, 519, 6791, 267, 1983, 267, 607, 1134, 607, 1995, 596, 2154, 547, 581, 3811, 538, 519, 4876, 269, 1703, 616, 513, 3099, 540, 2959, 602, 786, 4217, 596, 1451, 827, 1876, 9872, 607, 1134, 607, 519, 1876, 995, 2361, 563, 297, 291, 3292, 7363, 2154, 14021, 1271, 2079, 267, 21882, 267, 543, 849, 1382, 1353, 1995, 269, 6736, 519, 4990, 540, 1982, 596, 3442, 267, 596, 3580, 2154, 547, 1020, 2178, 5959, 543, 849, 2854, 5872, 1983, 269, 24664, 1176, 267, 808, 291, 3292, 616, 3810, 8013, 267, 607, 1134, 607, 17440, 602, 10953, 891, 5759, 786, 4217, 596, 5965, 585, 588, 1066, 6681, 6030, 269, 589, 25328, 779, 4110, 538, 1876, 3884, 1406, 513, 991, 267, 2705, 621, 786, 6157, 948, 596, 10653, 269, 898, 568, 1898, 547, 4584, 519, 1318, 2852, 585, 596, 563, 1103, 513, 1134, 268, 23912, 2486, 267, 2043, 786, 6923, 8428, 609, 1142, 824, 267, 2943, 609, 519, 948, 540, 519, 4521, 267, 789, 666, 4308, 609, 891, 22195, 23900, 269, 1280, 3236, 267, 952, 596, 3494, 2576, 568, 4636, 2685, 27560, 707, 1753, 267, 519, 9086, 786, 6157, 2995, 596, 945, 519, 1318, 995, 8227, 568, 543, 849, 875, 547, 2149, 1010, 3656, 2924, 269, 18489, 3175, 849, 8992, 2486, 1931, 676, 4180, 602, 3025, 740, 12742, 547, 519, 1482, 4507, 269, 4521, 11268, 11464, 267, 607, 606, 1383, 267, 723, 547, 14892, 741, 11645, 2687, 547, 519, 7939, 269, 1733, 16824, 321, 12294, 30374, 454, 763, 1909, 540, 7939, 538, 2486, 5673, 593, 519, 1797, 621, 568, 1031, 269, 898, 1522, 4196, 513, 3099, 540, 5301, 267, 1519, 5329, 2486, 1931, 569, 267, 8497, 1808, 3656, 2924, 267, 16069, 28112, 15967, 267, 17420, 12102, 2516, 1996, 4439, 802, 267, 543, 5009, 1514, 5126, 269, 2368, 3656, 1949, 798, 1732, 693, 5356, 891, 6859, 982, 1866, 269, 2368, 616, 28112, 2335, 673, 543, 1727, 816, 18441, 267, 1247, 1866, 616, 1454, 811, 12666, 543, 849, 3895, 1514, 5126, 269, 769, 1034, 2665, 267, 28974, 6608, 1016, 16746, 2797, 4187, 543, 849, 12102, 6887, 269, 19452, 267, 513, 3656, 1062, 602, 791, 4680, 22471, 1006, 568, 2356, 513, 1826, 540, 8915, 22038, 269, 5333, 267, 6628, 267, 543, 849, 1585, 824, 3864, 6082, 1500, 946, 540, 519, 3656, 1062, 547, 3715, 23693, 538, 513, 3148, 610, 4182, 563, 14946, 539, 538, 1647, 6502, 4789, 267, 1455, 1876, 568, 1869, 1373, 1031, 538, 519, 2136 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 269, 24812, 1491, 621, 538, 7140, 7432, 936, 1079, 6486, 543, 1832, 519, 3283, 602, 6474, 780, 263, 271, 994, 4322, 3756, 2285, 2259, 538, 3280, 532, 856, 1913, 543, 538, 2679, 1312, 1913, 543, 1875, 2914, 3581, 538, 606, 11791, 3014, 3510, 269, 634, 968, 31742, 803, 892, 6486, 4125, 12805, 20297, 543, 7475, 540, 1913, 630, 663, 538, 7234, 2436, 26363, 23302, 10659, 2965, 1267, 538, 1483, 1913, 1040, 1924, 267, 968, 322, 892, 666, 581, 20083, 609, 968, 520, 892, 547, 1106, 968, 13906, 5608, 968, 335, 892, 666, 581, 20083, 609, 968, 523, 892, 547, 1106, 968, 5155, 5608, 543, 968, 338, 892, 666, 581, 20083, 609, 968, 663, 892, 547, 1106, 968, 338, 663, 5608, 585, 1383, 269, 1809, 666, 968, 322, 892, 581, 20083, 609, 968, 523, 892, 610, 968, 663, 892, 286, 14675, 532, 856, 519, 1913, 602, 5716, 1711, 543, 7234, 2436, 519, 1913, 616, 1483, 610, 711, 2337, 547, 1628, 6015, 538, 2038, 3988, 607, 1134, 607, 606, 1620, 540, 18551, 543, 519, 4992, 540, 4484, 10659, 269, 5590, 476, 272, 281, 22008, 290, 630, 4621, 517, 656, 8686, 578, 601, 15926, 517, 656, 264, 10659, 267, 3355, 24025, 267, 555, 543, 669, 538, 519, 3355, 2990, 267, 910, 961, 543, 910, 1188, 5590, 476, 273, 281, 590, 5902, 2007, 1429, 630, 332, 20723, 552, 1070, 555, 19985, 910, 3333, 267, 910, 5622, 19985, 910, 978, 267, 910, 333, 330, 543, 910, 528, 268, 5590, 476, 274, 281, 910, 537, 19985, 910, 10394, 19985, 910, 662, 268, 910, 578, 19985, 910, 528, 19985, 910, 20660, 19985, 910, 2967, 19985, 910, 1168, 267, 1079, 1606, 22690, 762, 2443, 548, 1913, 692, 305, 1506, 1889, 681, 16244, 5590, 476, 274, 692, 263, 271, 994, 305, 1506, 1889, 681, 16244, 568, 513, 3014, 585, 476, 273, 268, 276, 5716, 267, 543, 568, 5129, 538, 513, 2147, 1259, 547, 1297, 15555, 3240, 855, 568, 1447, 7294, 269, 634, 2832, 540, 519, 3014, 568, 547, 855, 1524, 6586, 2719, 1913, 543, 18176, 568, 676, 1913, 2322, 1524, 269, 3962, 540, 519, 476, 2190, 3756, 630, 279, 693, 1142, 1377, 264, 13408, 476, 1789, 1913, 799, 723, 513, 3280, 538, 1455, 630, 324, 3052, 269, 1305, 476, 272, 320, 782, 1439, 538, 1107, 339, 1070, 865, 1453, 723, 547, 6432, 2182, 547, 519, 824, 4992, 547, 2697, 30053, 269, 30498, 666, 581, 6404, 543, 5916, 538, 1082, 1114, 2081, 4470, 593, 519, 2115, 540, 519, 1453, 269, 1280, 1383, 267, 5036, 666, 581, 6404, 865, 602, 4992, 723, 811, 610, 1447, 4334, 269, 1403, 621, 568, 2352, 585, 513, 1126, 547, 5873, 519, 3604, 538, 519, 4992, 267, 5036, 949, 581, 6404, 865, 602, 972, 616, 1100, 10486, 269, 1280, 1383, 267, 3079, 540, 1210, 782, 1305, 476, 272, 320, 1913, 267, 519, 968, 268, 520, 892, 1913, 666, 581, 1031, 689, 476, 272, 320, 267, 519, 910, 2108, 760, 892, 1913, 689, 476, 272, 321, 267, 519, 968, 268, 517, 892, 1913, 689, 476, 272, 323, 267, 519, 910, 2108, 1122, 892, 1913, 689, 476, 272, 324, 543, 519, 968, 268, 3089, 892, 1913, 689, 476, 272, 325, 269, 1403, 513, 1126, 814, 1880, 7965, 609, 835, 6292, 540, 4992, 267, 552, 3052, 269, 968, 332, 892, 543, 968, 333, 5608, 621, 666, 581, 5363, 547, 1175, 1491, 1913, 10678, 538, 891, 5022, 269, 5590, 476, 272, 281, 8422, 19985, 2185, 268, 543, 2947, 268, 4484, 943, 4577, 1913, 630, 20302, 290, 267, 22008, 6717, 267, 16671, 31357, 267, 16671, 309, 6717, 264, 543, 669, 268, 269, 5590, 476, 273, 281, 17677, 24008, 16427, 3333, 267, 910, 577, 543, 8237, 2007, 1429, 12462, 332, 20723, 552, 14615, 1913, 5590, 476, 274, 281, 966, 578, 601, 2007, 1429, 338, 543, 1079, 1606, 22690, 762, 1913, 692, 293, 3555, 18103, 1359, 5590, 476, 273, 692, 263, 271, 994, 1607, 2534, 25040, 1018, 8454, 1611, 269, 5753, 6582, 519, 476, 5655, 6486, 538, 1142, 1305, 2059, 513, 1899, 689, 476, 271, 268, 272, 269, 1280, 1383, 267, 799, 2427, 540, 476, 382, 378, 1281, 476, 278, 270, 279, 979, 286, 4208, 286, 589, 2016, 6824, 568, 11609, 538, 1114, 2081, 281, 607, 513, 1297, 282, 607, 513, 4605, 540, 513, 5432, 1843, 267, 971, 607, 3368, 606, 11945, 610, 16741, 282, 607, 513, 6516, 610, 607, 513, 6824, 540, 513, 2898, 1297, 971, 607, 3368, 513, 4216, 540, 476, 277, 5798, 269, 1703, 616, 2185, 5036, 693, 1114, 2157, 799, 594, 723, 7396, 14384, 1317, 519, 3758, 7306, 616, 5458, 269, 5590, 476, 272, 476, 272, 22397, 482, 273, 267, 476, 272, 22397, 482, 275, 267, 476, 274, 22397, 482, 275, 267, 476, 272, 22397, 482, 274, 2073, 273, 22397, 482, 274, 267, 476, 272, 22397, 482, 276, 267, 476, 272, 5590, 476, 273, 476, 272, 22397, 482, 277, 267, 476, 276, 22397, 482, 277, 267, 476, 272, 22397, 482, 279, 267, 476, 274, 22397, 482, 279, 267, 476, 276, 22397, 482, 279, 267, 476, 278, 22397, 482, 279, 267, 476, 272, 22397, 482, 1321, 5590, 476, 274, 4982, 20884, 8454, 281, 476, 272, 22397, 482, 273, 267, 476, 272, 22397, 482, 275, 267, 476, 274, 22397, 482, 275, 267, 476, 272, 22397, 482, 274, 267, 476, 273, 22397, 482, 274, 267, 476, 272, 22397, 482, 276, 267, 476, 275, 22397, 482, 276, 5590, 476, 275, 4982, 20884, 8454, 267, 1519, 17447, 543, 21159, 476, 272, 22397, 482, 273, 267, 476, 272, 22397, 482, 275, 267, 476, 274, 22397, 482, 275, 267, 476, 272, 22397, 482, 276, 267, 476, 275, 22397, 482, 276, 267, 476, 272, 22397, 482, 279, 267, 476, 272, 22397, 482, 1015, 267, 634, 6697, 8454, 948, 547, 2491, 875, 519, 1482, 1871, 949, 2408, 538, 1114, 3029, 269, 769, 1305, 476, 274, 267, 476, 272, 22397, 482, 273, 666, 581, 20083, 609, 476, 273, 22397, 482, 275, 267, 476, 274, 22397, 482, 277, 267, 476, 275, 22397, 482, 279, 267, 543, 476, 276, 22397, 482, 1015, 267, 585, 1383, 269, 5590, 476, 275, 12857, 519, 2856, 602, 519, 1482, 1871, 666, 2408, 607, 513, 6824, 267, 607, 513, 8918, 610, 607, 513, 6871, 269, 476, 272, 22397, 482, 273, 666, 581, 20083, 609, 476, 271, 269, 276, 543, 476, 2004, 260, 607, 1134, 607, 609, 476, 274, 270, 277, 540, 513, 4216, 540, 5798, 267, 585, 1383, 780, 293, 3555, 18103, 1359, 5590, 476, 272, 692, 263, 271, 994, 1607, 2534, 25040, 1018, 8454, 1611, 269, 5753, 6582, 519, 476, 5655, 6486, 538, 1142, 1305, 2059, 513, 1899, 689, 476, 271, 268, 272, 269, 1280, 1383, 267, 799, 2427, 540, 476, 382, 378, 1281, 476, 278, 270, 279, 979, 286, 4208, 286, 589, 2016, 6824, 568, 11609, 538, 1114, 2081, 281, 607, 513, 1297, 282, 607, 513, 4605, 540, 513, 5432, 1843, 267, 971, 607, 3368, 606, 11945, 610, 16741, 282, 607, 513, 6516, 610, 607, 513, 6824, 540, 513, 2898, 1297, 971, 607, 3368, 513, 4216, 540, 476, 277, 5798, 269, 1703, 616, 2185, 5036, 693, 1114, 2157, 799, 594, 723, 7396, 14384, 1317, 519, 3758, 7306, 616, 5458, 269, 5590, 476, 272, 476, 272, 22397, 482, 273, 267, 476, 272, 22397, 482, 275, 267, 476, 274, 22397, 482, 275, 267, 476, 272, 22397, 482, 274, 2073, 273, 22397, 482, 274, 267, 476, 272, 22397, 482, 276, 267, 476, 272, 5590, 476, 273, 476, 272, 22397, 482, 277, 267, 476, 276, 22397, 482, 277, 267, 476, 272, 22397, 482, 279, 267, 476, 274, 22397, 482, 279, 267, 476, 276, 22397, 482, 279, 267, 476, 278, 22397, 482, 279, 267, 476, 272, 22397, 482, 1321, 5590, 476, 274, 4982, 20884, 8454, 281, 476, 272, 22397, 482, 273, 267, 476, 272, 22397, 482, 275, 267, 476, 274, 22397, 482, 275, 267, 476, 272, 22397, 482, 274, 267, 476, 273, 22397, 482, 274, 267, 476, 272, 22397, 482, 276, 267, 476, 275, 22397, 482, 276, 5590, 476, 275, 4982, 20884, 8454, 267, 1519, 17447, 543, 21159, 476, 272, 22397, 482, 273, 267, 476, 272, 22397, 482, 275, 267, 476, 274, 22397, 482, 275, 267, 476, 272, 22397, 482, 276, 267, 476, 275, 22397, 482, 276, 267, 476, 272, 22397, 482, 279, 267, 476, 272, 22397, 482, 1015, 267, 634, 6697, 8454, 948, 547, 2491, 875, 519, 1482, 1871, 949, 2408, 538, 1114, 3029, 269, 769, 1305, 476, 274, 267, 476, 272, 22397, 482, 273, 666, 581, 20083, 609, 476, 273, 22397, 482, 275, 267, 476, 274, 22397, 482, 277, 267, 476, 275, 22397, 482, 279, 267, 543, 476, 276, 22397, 482, 1015, 267, 585, 1383, 269, 5590, 476, 275, 12857, 519, 2856, 602, 519, 1482, 1871, 666, 2408, 607, 513, 6824, 267, 607, 513, 8918, 610, 607, 513, 6871, 269, 476, 272, 22397, 482, 273, 666, 581, 20083, 609, 476, 271, 269, 276, 543, 476, 2004, 260, 607, 1134, 607, 609, 476, 274, 270, 277, 540, 513, 4216, 540, 5798, 267, 585, 1383, 780, 293, 3555, 12358, 3626, 525, 5590, 476, 274, 692, 263, 271, 994, 4322, 3756, 5432, 1047, 1453, 609, 8454, 543, 12927, 1018, 8454, 1611, 269, 634, 2531, 3626, 525, 616, 5129, 519, 1482, 1259, 607, 6671, 2531, 3626, 525, 855, 676, 8204, 1142, 6824, 538, 5216, 1114, 2081, 267, 594, 2832, 585, 1453, 547, 1349, 519, 9759, 540, 1018, 513, 6824, 568, 2864, 982, 3274, 12805, 9838, 5961, 269, 769, 713, 1007, 476, 1001, 278, 4528, 540, 1250, 26271, 12358, 3626, 525, 267, 594, 723, 8719, 1082, 540, 519, 12222, 609, 11147, 269, 1703, 616, 2185, 5036, 693, 1114, 2157, 799, 594, 723, 7396, 1312, 14384, 543, 607, 513, 22753, 269, 5590, 476, 272, 476, 272, 22397, 482, 273, 267, 476, 272, 22397, 482, 275, 267, 476, 274, 22397, 482, 275, 267, 476, 272, 22397, 482, 274, 2073, 273, 22397, 482, 274, 267, 476, 272, 22397, 482, 276, 267, 476, 272, 5590, 476, 273, 476, 272, 22397, 482, 277, 267, 476, 276, 22397, 482, 277, 267, 476, 272, 22397, 482, 279, 267, 476, 274, 22397, 482, 279, 267, 476, 276, 22397, 482, 279, 267, 476, 278, 22397, 482, 279, 267, 476, 272, 22397, 482, 1321, 5590, 476, 274, 4982, 20884, 8454, 476, 272, 22397, 482, 273, 267, 476, 272, 22397, 482, 275, 267, 476, 274, 22397, 482, 275, 267, 476, 272, 22397, 482, 274, 267, 476, 273, 22397, 482, 274, 267, 476, 272, 22397, 482, 276, 267, 476, 275, 22397, 482, 276, 5590, 476, 275, 4982, 20884, 8454, 267, 1519, 17447, 543, 21159, 476, 272, 22397, 482, 273, 267, 476, 272, 22397, 482, 275, 267, 476, 274, 22397, 482, 275, 267, 476, 272, 22397, 482, 276, 267, 476, 275, 22397, 482, 276, 267, 476, 272, 22397, 482, 279, 267, 476, 272, 22397, 482, 1015, 634, 6697, 8454, 948, 547, 2491, 875, 519, 1482, 1871, 949, 2408, 538, 1114, 3029, 269, 769, 1305, 476, 274, 267, 476, 272, 22397, 482, 273, 666, 581, 20083, 609, 1312, 513, 10230, 543, 513, 3182, 3645, 6041, 540, 476, 273, 22397, 482, 275, 267, 476, 274, 22397, 482, 277, 267, 476, 275, 22397, 482, 279, 267, 543, 476, 276, 22397, 482, 1015, 267, 585, 1383, 269, 5590, 476, 275, 12857, 519, 2856, 602, 519, 1482, 1871, 666, 2408, 607, 513, 6824, 267, 607, 513, 8918, 610, 607, 513, 6871, 269, 476, 272, 22397, 482, 273, 666, 581, 20083, 609, 476, 271, 269, 276, 543, 476, 2004, 260, 607, 1134, 607, 609, 3368, 513, 4216, 540, 5798, 610, 3368, 606, 11945, 267, 585, 1383, 780, 293, 3555, 12358, 3626, 525, 5590, 476, 275, 692, 263, 271, 994, 4322, 3756, 5432, 1047, 1453, 609, 8454, 543, 12927, 1018, 8454, 1611, 269, 634, 2531, 3626, 525, 616, 5129, 519, 1482, 1259, 607, 6671, 2531, 3626, 525, 855, 676, 8204, 1142, 6824, 538, 5216, 1114, 2081, 267, 594, 2832, 585, 1453, 547, 1349, 519, 9759, 540, 1018, 513, 6824, 568, 2864, 982, 3274, 12805, 9838, 5961, 269, 769, 713, 1007, 476, 1001, 278, 4528, 540, 1250, 26271, 12358, 3626, 525, 267, 594, 723, 8719, 1082, 540, 519, 12222, 609, 11147, 269, 1703, 616, 2185, 5036, 693, 1114, 2157, 799, 594, 723, 7396, 1312, 14384, 543, 607, 513, 22753, 269, 5590, 476, 272, 476, 272, 22397, 482, 273, 267, 476, 272, 22397, 482, 275, 267, 476, 274, 22397, 482, 275, 267, 476, 272, 22397, 482, 274, 2073, 273, 22397, 482, 274, 267, 476, 272, 22397, 482, 276, 267, 476, 272, 5590 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 385, 353, 385, 354, 385, 355, 385, 356, 385, 357, 385, 358, 385, 359, 19476, 385, 361, 385, 511, 385, 362, 385, 363, 385, 364, 385, 365, 385, 366, 385, 367, 385, 368, 385, 369, 385, 370, 385, 371, 385, 372, 385, 373, 385, 374, 385, 375, 385, 376, 385, 377, 385, 378, 385, 379, 386, 478, 386, 479, 386, 480, 386, 481, 386, 482, 386, 483, 386, 484, 386, 485, 386, 486, 386, 487, 386, 488, 386, 489, 386, 490, 386, 491, 386, 492, 386, 493, 386, 494, 386, 495, 386, 496, 386, 497, 386, 498, 386, 499, 386, 500, 386, 501, 386, 502, 386, 503, 386, 504, 386, 505, 386, 506, 386, 507, 386, 508, 386, 509, 386, 510, 386, 350, 386, 351, 386, 352, 386, 353, 386, 354, 386, 355, 386, 356, 386, 357, 386, 358, 386, 359, 386, 360, 386, 361, 386, 511, 386, 362, 386, 363, 386, 364, 386, 365, 386, 366, 386, 367, 386, 368, 386, 369, 386, 370, 386, 371, 386, 372, 386, 373, 386, 374, 386, 375, 386, 376, 386, 377, 386, 378, 386, 379, 387, 478, 387, 479, 387, 481, 387, 482, 387, 483, 387, 484, 387, 485, 387, 486, 387, 487, 387, 488, 387, 489, 387, 490, 387, 491, 387, 492, 387, 493, 387, 494, 387, 495, 387, 496, 387, 497, 387, 498, 387, 499, 387, 500, 387, 501, 387, 502, 387, 503, 387, 504, 387, 505, 387, 506, 387, 507, 387, 508, 387, 509, 387, 510, 387, 350, 387, 351, 387, 352, 387, 353, 387, 354, 387, 355, 387, 356, 387, 357, 387, 358, 387, 359, 387, 360, 387, 361, 387, 511, 387, 362, 387, 363, 387, 364, 387, 365, 387, 366, 387, 367, 387, 368, 387, 369, 387, 370, 387, 371, 387, 372, 387, 373, 387, 374, 387, 375, 387, 376, 387, 377, 387, 378, 387, 379, 388, 478, 388, 479, 388, 480, 388, 481, 388, 482, 388, 483, 388, 484, 388, 485, 388, 486, 388, 487, 388, 488, 388, 489, 388, 490, 388, 491, 388, 492, 388, 493, 388, 494, 388, 495, 388, 496, 388, 497, 388, 498, 388, 499, 388, 500, 388, 501, 388, 502, 388, 503, 388, 504, 388, 505, 388, 506, 388, 507, 388, 508, 388, 509, 388, 510, 388, 350, 388, 351, 388, 352, 388, 353, 388, 354, 388, 355, 388, 356, 388, 357, 388, 358, 388, 359, 388, 360, 388, 361, 388, 511, 388, 362, 388, 363, 388, 364, 388, 365, 388, 366, 388, 367, 388, 368, 388, 369, 388, 370, 388, 371, 388, 372, 388, 373, 388, 374, 388, 375, 388, 376, 388, 377, 388, 378, 388, 379, 389, 478, 389, 479, 389, 480, 389, 481, 389, 482, 389, 483, 389, 484, 389, 485, 389, 486, 389, 487, 389, 488, 389, 489, 389, 490, 389, 491, 454, 383, 486, 32723, 383, 488, 383, 489, 383, 490, 383, 491, 383, 492, 383, 493, 383, 494, 383, 495, 383, 496, 383, 497, 383, 498, 383, 499, 383, 500, 9943, 383, 502, 383, 503, 383, 504, 383, 505, 383, 506, 383, 507, 383, 508, 29967, 14504, 5451, 5889, 13168, 7564, 18033, 19508, 9809, 11726, 2946, 17845, 25612, 383, 361, 6403, 383, 362, 25771, 32244, 10722, 383, 366, 6759, 20110, 383, 369, 7238, 383, 371, 21417, 383, 373, 14243, 383, 375, 6686, 383, 377, 383, 378, 383, 379, 384, 478, 5953, 384, 480, 26324, 384, 482, 384, 483, 384, 484, 24089, 384, 486, 384, 487, 384, 488, 384, 489, 384, 490, 25155, 384, 492, 384, 493, 384, 494, 384, 495, 384, 496, 25207, 384, 498, 384, 499, 384, 500, 384, 501, 384, 502, 384, 503, 384, 504, 384, 505, 384, 506, 384, 507, 384, 508, 30322, 384, 510, 384, 350, 384, 351, 384, 352, 384, 353, 384, 354, 384, 355, 384, 356, 384, 357, 384, 358, 384, 359, 13682, 384, 511, 384, 362, 384, 363, 384, 364, 13799, 384, 366, 384, 367, 384, 368, 384, 369, 384, 370, 384, 371, 384, 372, 384, 373, 384, 374, 384, 375, 384, 376, 384, 377, 384, 378, 384, 379, 385, 478, 385, 479, 22119, 385, 481, 385, 482, 385, 483, 385, 484, 385, 485, 385, 486, 385, 487, 385, 488, 385, 489, 385, 490, 16230, 385, 492, 385, 493, 385, 494, 385, 495, 385, 496, 385, 497, 385, 498, 385, 499, 385, 500, 385, 501, 385, 502, 385, 503, 385, 504, 23410, 385, 506, 385, 507, 385, 508, 26535, 385, 510, 20795, 385, 351, 385, 352, 385, 353, 385, 354, 385, 355, 385, 356, 385, 357, 385, 358, 385, 359, 19476, 385, 361, 385, 511, 385, 362, 385, 363, 385, 364, 385, 365, 385, 366, 385, 367, 385, 368, 385, 369, 385, 370, 385, 371, 385, 372, 385, 373, 385, 374, 385, 375, 385, 376, 385, 377, 385, 378, 385, 379, 386, 478, 386, 479, 386, 480, 386, 481, 386, 482, 386, 483, 386, 484, 386, 485, 386, 486, 386, 487, 386, 488, 386, 489, 386, 490, 386, 491, 386, 492, 386, 493, 386, 494, 386, 495, 386, 496, 386, 497, 386, 498, 386, 499, 386, 500, 386, 501, 386, 502, 386, 503, 386, 504, 386, 505, 386, 506, 386, 507, 386, 508, 386, 509, 386, 510, 386, 350, 386, 351, 386, 352, 386, 353, 386, 354, 386, 355, 386, 356, 386, 357, 386, 358, 386, 359, 386, 360, 386, 361, 386, 511, 386, 362, 386, 363, 386, 364, 386, 365, 386, 366, 386, 367, 386, 368, 386, 369, 386, 370, 386, 371, 386, 372, 386, 373, 386, 374, 386, 375, 386, 376, 386, 377, 386, 378, 386, 379, 387, 478, 387, 479, 387, 481, 387, 482, 387, 483, 387, 484, 387, 485, 387, 486, 387, 487, 387, 488, 387, 489, 387, 490, 387, 491, 387, 492, 387, 493, 387, 494, 387, 495, 387, 496, 387, 497, 387, 498, 387, 499, 387, 500, 387, 501, 387, 502, 387, 503, 387, 504, 387, 505, 387, 506, 387, 507, 387, 508, 387, 509, 387, 510, 387, 350, 387, 351, 387, 352, 387, 353, 387, 354, 387, 355, 387, 356, 387, 357, 387, 358, 387, 359, 387, 360, 387, 361, 387, 511, 387, 362, 387, 363, 387, 364, 387, 365, 387, 366, 387, 367, 387, 368, 387, 369, 387, 370, 387, 371, 387, 372, 387, 373, 387, 374, 387, 375, 387, 376, 387, 377, 387, 378, 387, 379, 388, 478, 388, 479, 388, 480, 388, 481, 388, 482, 388, 483, 388, 484, 388, 485, 388, 486, 388, 487, 388, 488, 388, 489, 388, 490, 388, 491, 388, 492, 388, 493, 388, 494, 388, 495, 388, 496, 388, 497, 388, 498, 388, 499, 388, 500, 388, 501, 388, 502, 388, 503, 388, 504, 388, 505, 388, 506, 388, 507, 388, 508, 388, 509, 388, 510, 388, 350, 388, 351, 388, 352, 388, 353, 388, 354, 388, 355, 388, 356, 388, 357, 388, 358, 388, 359, 388, 360, 388, 361, 388, 511, 388, 362, 388, 363, 388, 364, 388, 365, 388, 366, 388, 367, 388, 368, 388, 369, 388, 370, 388, 371, 388, 372, 388, 373, 388, 374, 388, 375, 388, 376, 388, 377, 388, 378, 388, 379, 389, 478, 389, 479, 389, 480, 389, 481, 389, 482, 389, 483, 389, 484, 389, 485, 389, 486, 389, 487, 389, 488, 389, 489, 389, 490, 389, 491, 389, 492, 389, 493, 389, 494, 389, 495, 389, 496, 389, 497, 389, 498, 389, 499, 389, 500, 389, 501, 16745, 389, 504, 389, 505, 389, 506, 389, 507, 389, 508, 389, 509, 389, 510, 389, 350, 389, 351, 389, 352, 389, 353, 389, 354, 389, 355, 389, 356, 389, 357, 389, 358, 22688, 389, 360, 454, 383, 486, 32723, 383, 488, 383, 489, 383, 490, 383, 491, 383, 492, 383, 493, 383, 494, 383, 495, 383, 496, 383, 497, 383, 498, 383, 499, 383, 500, 9943, 383, 502, 383, 503, 383, 504, 383, 505, 383, 506, 383, 507, 383, 508, 29967, 14504, 5451, 5889, 13168, 7564, 18033, 19508, 9809, 11726, 2946, 17845, 25612, 383, 361, 6403, 383, 362, 25771, 32244, 10722, 383, 366, 6759, 20110, 383, 369, 7238, 383, 371, 21417, 383, 373, 14243, 383, 375, 6686, 383, 377, 383, 378, 383, 379, 384, 478, 5953, 384, 480, 26324, 384, 482, 384, 483, 384, 484, 24089, 384, 486, 384, 487, 384, 488, 384, 489, 384, 490, 25155, 384, 492, 384, 493, 384, 494, 384, 495, 384, 496, 25207, 384, 498, 384, 499, 384, 500, 384, 501, 384, 502, 384, 503, 384, 504, 384, 505, 384, 506, 384, 507, 384, 508, 30322, 384, 510, 384, 350, 384, 351, 384, 352, 384, 353, 384, 354, 384, 355, 384, 356, 384, 357, 384, 358, 384, 359, 13682, 384, 511, 384, 362, 384, 363, 384, 364, 13799, 384, 366, 384, 367, 384, 368, 384, 369, 384, 370, 384, 371, 384, 372, 384, 373, 384, 374, 384, 375, 384, 376, 384, 377, 384, 378, 384, 379, 385, 478, 385, 479, 22119, 385, 481, 385, 482, 385, 483, 385, 484, 385, 485, 385, 486, 385, 487, 385, 488, 385, 489, 385, 490, 16230, 385, 492, 385, 493, 385, 494, 385, 495, 385, 496, 385, 497, 385, 498, 385, 499, 385, 500, 385, 501, 385, 502, 385, 503, 385, 504, 23410, 385, 506, 385, 507, 385, 508, 26535, 385, 510, 20795, 385, 351, 385, 352, 385, 353, 385, 354, 385, 355, 385, 356, 385, 357, 385, 358, 385, 359, 19476, 385, 361, 385, 511, 385, 362, 385, 363, 385, 364, 385, 365, 385, 366, 385, 367, 385, 368, 385, 369, 385, 370, 385, 371, 385, 372, 385, 373, 385, 374, 385, 375, 385, 376, 385, 377, 385, 378, 385, 379, 386, 478, 386, 479, 386, 480, 386, 481, 386, 482, 386, 483, 386, 484, 386, 485, 386, 486, 386, 487, 386, 488, 386, 489, 386, 490, 386, 491, 386, 492, 386, 493, 386, 494, 386, 495, 386, 496, 386, 497, 386, 498, 386, 499, 386, 500, 386, 501, 386, 502, 386, 503, 386, 504, 386, 505, 386, 506, 386, 507, 386, 508, 386, 509, 386, 510, 386, 350, 386, 351, 386, 352, 386, 353, 386, 354, 386, 355, 386, 356, 386, 357, 386, 358, 386, 359, 386, 360, 386, 361, 386, 511, 386, 362, 386, 363, 386, 364, 386, 365, 386, 366, 386, 367, 386, 368, 386, 369, 386, 370, 386, 371, 386, 372, 386, 373, 386, 374, 386, 375, 386, 376, 386, 377, 386, 378, 386, 379, 387, 478, 387, 479, 387, 481, 387, 482, 387, 483, 387, 484, 387, 485, 387, 486, 387, 487, 387, 488, 387, 489, 387, 490, 387, 491, 387, 492, 387, 493, 387, 494, 387, 495, 387, 496, 387, 497, 387, 498, 387, 499, 387, 500, 387, 501, 387, 502, 387, 503, 387, 504, 387, 505, 387, 506, 387, 507, 387, 508, 387, 509, 387, 510, 387, 350, 387, 351, 387, 352, 387, 353, 387, 354, 387, 355, 387, 356, 387, 357, 387, 358, 387, 359, 387, 360, 387, 361, 387, 511, 387, 362, 387, 363, 387, 364, 387, 365, 387, 366, 387, 367, 387, 368, 387, 369, 387, 370, 387, 371, 387, 372, 387, 373, 387, 374, 387, 375, 387, 376, 387, 377, 387, 378, 387, 379, 388, 478, 388, 479, 388, 480, 388, 481, 388, 482, 388, 483, 388, 484, 388, 485, 388, 486, 388, 487, 388, 488, 388, 489, 388, 490, 388, 491, 388, 492, 388, 493, 388, 494, 388, 495, 388, 496, 388, 497, 388, 498, 388, 499, 388, 500, 388, 501, 388, 502, 388, 503, 388, 504, 388, 505, 388, 506, 388, 507, 388, 508, 388, 509, 388, 510, 388, 350, 388, 351, 388, 352, 388, 353, 388, 354, 388, 355, 388, 356, 388, 357, 388, 358, 388, 359, 388, 360, 388, 361, 388, 511, 388, 362, 388, 363, 388, 364, 388, 365, 388, 366, 388, 367, 388, 368, 388, 369, 388, 370, 388, 371, 388, 372, 388, 373, 388, 374, 388, 375, 388, 376, 388, 377, 388, 378, 388, 379, 389, 478, 389, 479, 389, 480, 389, 481, 389, 482, 389, 483, 389, 484, 389, 485, 389, 486, 389, 487, 389, 488, 389, 489, 389, 490, 389, 491, 389, 492, 389, 493, 389, 494, 389, 495, 389, 496, 389, 497, 389, 498, 389, 499, 389, 500, 389, 501, 16745, 389, 504, 389, 505, 389, 506, 389, 507, 389, 508, 389, 509, 389, 510, 389, 350, 389, 351, 389, 352, 389, 353, 389, 354, 389, 355, 389, 356, 389, 357 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 26611, 23591, 24800, 19841, 341, 9226, 274, 692, 12163, 396, 508, 10528, 25986, 28476, 17095, 20977, 4736, 4736, 476, 4344, 16417, 7846, 15671, 17201, 9841, 17221, 7549, 15800, 476, 16417, 3522, 20434, 13194, 13833, 28476, 18194, 31124, 14359, 3264, 15671, 3378, 11012, 6459, 29391, 7846, 19628, 27569, 4138, 3264, 20413, 20046, 19757, 9924, 912, 266, 2843, 509, 21268, 4138, 9261, 20046, 4814, 454, 266, 2843, 509, 6459, 3378, 27569, 3522, 9686, 9841, 454, 266, 31560, 4138, 13194, 7846, 3522, 20434, 13194, 3522, 30530, 9326, 454, 20701, 5814, 21267, 28272, 607, 12301, 454, 5814, 11885, 607, 5286, 7531, 5035, 8672, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 1535, 318, 267, 586, 318, 2187, 1038, 1582, 11859, 815, 1535, 29390, 1038, 1582, 13885, 815, 586, 29390, 1038, 1820, 2891, 11592, 2580, 1582, 11859, 267, 1582, 13885, 9239, 5035, 21121, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 533, 272, 318, 267, 533, 273, 318, 267, 533, 274, 318, 2187, 1038, 1582, 4877, 272, 815, 533, 272, 29390, 1038, 1582, 4877, 273, 815, 533, 273, 29390, 1038, 1582, 4877, 274, 815, 533, 274, 29390, 1038, 1582, 7456, 272, 815, 1582, 6745, 6352, 9638, 272, 318, 267, 533, 273, 318, 994, 1038, 1582, 7456, 273, 815, 1582, 6745, 6352, 9638, 273, 318, 267, 533, 274, 318, 994, 1038, 1582, 7456, 274, 815, 1582, 6745, 6352, 9638, 274, 318, 267, 533, 272, 318, 994, 1038, 1820, 2891, 296, 993, 2813, 15419, 825, 1219, 512, 6352, 4311, 267, 533, 272, 267, 533, 273, 2187, 1038, 2132, 5286, 28460, 9230, 335, 273, 11859, 910, 533, 272, 11859, 264, 2878, 476, 273, 1341, 630, 335, 273, 13885, 910, 533, 272, 13885, 264, 2878, 476, 273, 2020, 825, 1219, 829, 574, 4311, 2187, 1038, 2132, 1582, 7456, 272, 1341, 1582, 7456, 273, 1341, 1582, 7456, 274, 692, 825, 1219, 4009, 4311, 2187, 1038, 533, 815, 1582, 269, 704, 574, 3890, 1315, 476, 273, 454, 1038, 2132, 5286, 28460, 9638, 2608, 630, 335, 910, 1582, 7456, 272, 264, 2608, 630, 335, 910, 1582, 7456, 273, 264, 2608, 630, 335, 910, 1582, 7456, 274, 11723, 825, 1219, 1471, 4311, 2187, 1038, 1535, 1551, 815, 1496, 1345, 4877, 272, 11859, 267, 1582, 4877, 273, 11859, 267, 1582, 4877, 274, 11859, 267, 1582, 4877, 272, 11859, 2639, 1038, 586, 1551, 815, 1496, 1345, 4877, 272, 13885, 267, 1582, 4877, 273, 13885, 267, 1582, 4877, 274, 13885, 267, 1582, 4877, 272, 13885, 2639, 1038, 12301, 26644, 2891, 396, 509, 17201, 7846, 10948, 12811, 21162, 13953, 476, 4344, 16417, 7846, 15671, 17201, 9841, 17221, 7549, 5602, 1038, 12301, 19502, 3287, 1551, 267, 586, 1551, 994, 1038, 12301, 20481, 30800, 335, 272, 815, 8672, 263, 272, 267, 476, 272, 994, 335, 273, 815, 8672, 263, 272, 267, 476, 275, 994, 335, 274, 815, 8672, 263, 276, 267, 476, 272, 994, 13700, 815, 21121, 9638, 272, 267, 533, 273, 267, 533, 274, 2020, 2745, 6025, 337, 269, 704, 574, 15405, 2745, 6025, 337, 4732, 13645, 15405, 13700, 269, 6665, 4590, 0, 26611, 23591, 24800, 19841, 341, 9226, 274, 692, 12163, 396, 509, 4814, 22147, 13077, 9261, 9261, 3522, 29824, 13833, 21268, 9326, 19628, 27569, 3522, 9326, 10780, 13077, 8563, 4138, 23783, 21170, 13150, 9841, 476, 13077, 4736, 13150, 31606, 13833, 24012, 11012, 7549, 29652, 30718, 11714, 11012, 4344, 4814, 30718, 3264, 692, 20701, 454, 3698, 23049, 6357, 2350, 2187, 825, 10518, 815, 11713, 825, 585, 1714, 538, 536, 2350, 912, 1038, 952, 1714, 538, 22373, 314, 2580, 834, 263, 2580, 834, 346, 2580, 834, 283, 257, 14158, 2018, 10518, 6910, 263, 601, 994, 1038, 8640, 1714, 538, 1496, 19312, 2580, 834, 264, 2580, 834, 348, 2580, 834, 285, 257, 14158, 2018, 952, 7003, 263, 23637, 264, 3436, 476, 271, 912, 3546, 1283, 815, 10518, 21014, 4590, 3546, 952, 1283, 1341, 1714, 711, 538, 22373, 26514, 2580, 834, 3890, 2580, 834, 24001, 2580, 834, 283, 285, 257, 14158, 7386, 2132, 8771, 454, 2018, 3116, 912, 3546, 2132, 8771, 692, 825, 2132, 7003, 263, 23637, 264, 2652, 476, 271, 7531, 604, 23049, 9272, 3890, 2187, 825, 1820, 2891, 306, 15471, 5602, 12828, 912, 825, 1820, 2891, 293, 841, 5602, 0, 5814, 556, 7531, 258, 1031, 547, 1450, 3593, 2987, 1584, 5191, 267, 855, 1869, 2842, 909, 609, 5812, 11249, 2663, 454, 3698, 4894, 318, 3369, 2572, 10628, 30415, 2187, 16596, 556, 16553, 16868, 262, 315, 338, 266, 3299, 1412, 3299, 5569, 9239, 258, 1031, 547, 4341, 856, 3593, 3403, 609, 5667, 6269, 9285, 6698, 454, 3698, 23380, 15220, 1513, 30415, 2187, 453, 12584, 6269, 9285, 15220, 1513, 815, 11713, 22610, 1347, 538, 5569, 912, 453, 14851, 711, 3884, 3784, 263, 10420, 264, 543, 711, 568, 19702, 762, 263, 10420, 264, 543, 711, 568, 7774, 263, 10420, 264, 543, 1347, 11203, 1412, 8782, 543, 1347, 11203, 1412, 9538, 912, 4848, 453, 12584, 6269, 9285, 15220, 1513, 6910, 263, 10420, 994, 16596, 5667, 6269, 9285, 15220, 1513, 952, 7003, 263, 12584, 6269, 9285, 15220, 1513, 264, 3436, 476, 271, 3116, 8771, 7531, 258, 7024, 3020, 952, 5569, 3568, 2789, 15654, 5106, 6698, 454, 3698, 15654, 318, 6016, 725, 30415, 2187, 22610, 1775, 538, 2039, 12759, 30415, 264, 910, 476, 272, 2187, 453, 14851, 568, 7774, 30415, 5157, 8079, 543, 568, 7774, 30415, 5157, 1341, 476, 272, 316, 2567, 2132, 6936, 454, 16596, 8771, 7531, 258, 6104, 8460, 1482, 607, 519, 556, 6230, 2255, 267, 855, 554, 1938, 16297, 532, 556, 613, 343, 16105, 454, 3698, 568, 7774, 6025, 7505, 2187, 16596, 6936, 952, 556, 6230, 2255, 16868, 257, 317, 24560, 10954, 10559, 265, 315, 270, 316, 259, 2580, 18351, 264, 3116, 8771, 7531, 258, 1031, 547, 4341, 856, 3593, 3403, 609, 1932, 1082, 4632, 538, 1412, 6358, 18258, 7055, 258, 1031, 547, 3313, 799, 2427, 540, 3830, 3568, 4756, 538, 1412, 10852, 18258, 7055, 3698, 1205, 318, 19702, 762, 18045, 263, 3438, 762, 318, 15953, 2187, 453, 19702, 762, 18045, 815, 476, 271, 454, 22610, 3693, 538, 12055, 762, 318, 15953, 912, 453, 14851, 568, 19702, 762, 16216, 2211, 2567, 4756, 18045, 6834, 476, 272, 454, 16596, 4756, 18045, 7531, 258, 1031, 547, 4341, 856, 3593, 3403, 609, 1932, 1082, 5106, 6698, 454, 3698, 1205, 318, 6016, 725, 18045, 30415, 2187, 453, 19702, 762, 18045, 815, 476, 271, 454, 22610, 1347, 538, 5569, 912, 453, 14851, 568, 7774, 263, 10420, 2567, 4756, 18045, 6834, 476, 272, 454, 16596, 4756, 18045, 7531, 258, 6104, 8460, 1482, 607, 519, 556, 6230, 2255, 267, 855, 554, 1938, 16297, 532, 556, 613, 343, 16105, 454, 3698, 3884, 3784, 6025, 7505, 2187, 16596, 6936, 952, 556, 6230, 2255, 16868, 257, 23373, 323, 265, 7268, 26142, 323, 266, 21663, 259, 2580, 18351, 264, 3116, 8771, 7531, 3698, 568, 19702, 762, 6025, 7505, 2187, 16596, 6936, 952, 18351, 18994, 10401, 3890, 3116, 8771, 692, 258, 1412, 523, 4302, 262, 18351, 547, 1412, 14006, 25785, 262, 1592, 630, 6518, 2663, 3252, 607, 513, 20313, 994, 3698, 679, 4302, 6025, 7505, 267, 2022, 25785, 2187, 453, 14006, 25785, 6910, 6025, 7505, 994, 16596, 692, 258, 1412, 335, 2313, 262, 18351, 512, 335, 1412, 641, 23637, 262, 1592, 630, 6518, 3252, 899, 513, 10518, 994, 3698, 7903, 6025, 7505, 267, 1566, 23637, 2187, 453, 641, 23637, 6910, 6025, 7505, 994, 16596, 7531, 3698, 1205, 23631, 2091, 8217, 17338, 272, 2187, 16596, 1592, 272, 11468, 18737, 272, 6540, 454, 3698, 1205, 318, 10113, 20311, 263, 2993, 267, 1775, 2187, 16596, 15073, 5157, 1341, 476, 272, 316, 952, 3884, 3784, 263, 2993, 5157, 1341, 476, 272, 8079, 3116, 15073, 5157, 1341, 476, 273, 6540, 454, 258, 1412, 24834, 10663, 318, 663, 318, 26303, 9078, 1235, 262, 8255, 513, 1906, 2144, 571, 2738, 585, 519, 3844, 1184, 538, 1412, 338, 9876, 18258, 7055, 3698, 6218, 318, 663, 318, 26303, 9078, 1235, 263, 7407, 272, 267, 1871, 273, 267, 5106, 267, 2418, 2187, 453, 11133, 272, 815, 1871, 272, 454, 453, 11133, 273, 815, 1871, 273, 454, 453, 14310, 815, 859, 531, 6600, 257, 346, 11133, 272, 2410, 7774, 2410, 11133, 273, 348, 5602, 453, 11161, 6910, 31114, 994, 16596, 7531, 258, 1412, 1326, 28767, 318, 663, 318, 7774, 262, 29776, 16105, 538, 1412, 338, 9876, 18258, 7055, 3698, 1205, 28767, 318, 663, 318, 7774, 263, 11161, 267, 18351, 2187, 16596, 2418, 21014, 19572, 2418, 21014, 19572, 18351, 7531, 258, 8675, 568, 1883, 539, 883, 609, 606, 5106, 2389, 7505, 454, 258, 7024, 513, 8675, 1871, 630, 1492, 11201, 5106, 540, 519, 1883, 994, 3698, 1205, 18425, 2091, 318, 7774, 263, 7774, 2187, 453, 514, 2091, 15058, 815, 27835, 266, 9166, 21029, 3299, 21029, 9166, 1412, 266, 3299, 24003, 9166, 23367, 3299, 23367, 9166, 25952, 8679, 16596, 11201, 15058, 314, 7774, 316, 0, 16482, 258, 7711, 331, 322, 813, 284, 548, 564, 13892, 7329, 284, 276, 31423, 284, 7090, 274, 454, 16482, 258, 1496, 276, 316, 7043, 652, 6022, 785, 668, 545, 4427, 11415, 454, 16482, 258, 4179, 2517, 548, 564, 13892, 2593, 24579, 21793, 270, 14075, 652, 1790, 531, 785, 668, 545, 28175, 11415, 7933, 525, 5524, 13045, 16482, 258, 6620, 454, 258, 23839, 630, 2767, 269, 10170, 260, 994, 258, 700, 10105, 281, 825, 476, 32076, 280, 454, 258, 2598, 331, 10105, 281, 476, 4391, 278, 454, 258, 11192, 20504, 539, 281, 825, 476, 277, 866, 269, 280, 298, 454, 258, 11192, 4427, 332, 3827, 281, 476, 273, 269, 273, 300, 454, 258, 4530, 13826, 7151, 281, 476, 1412, 257, 321, 21171, 257, 7055, 16482, 258, 9717, 513, 5569, 521, 267, 1265, 519, 13074, 5493, 785, 668, 545, 10799, 532, 538, 521, 269, 1411, 949, 8263, 454, 258, 602, 519, 5021, 3259, 540, 521, 568, 476, 1911, 271, 563, 258, 3097, 258, 7151, 476, 272, 912, 258, 3097, 258, 3097, 258, 18452, 281, 834, 321, 21171, 4840, 258, 19243, 281, 834, 321, 629, 4840, 258, 8074, 281, 834, 19487, 257, 568, 849, 513, 4570, 2626, 563, 258, 3097, 258, 3097, 258, 7151, 476, 273, 912, 258, 3097, 258, 3097, 258, 18452, 281, 834, 322, 6277, 323, 4840, 258, 19243, 281, 834, 6277, 4840, 258, 3097, 258, 3097, 16482, 5814, 2979, 267, 5503, 692, 5035, 8827, 912, 825, 1948, 12361, 476, 276, 269, 6349, 1315, 476, 2420, 269, 7597, 454, 825, 1948, 1219, 13074, 21595, 30308, 4311, 267, 521, 281, 1193, 264, 9847, 1193, 912, 825, 1948, 672, 521, 21920, 815, 7003, 4433, 994, 825, 1948, 672, 952, 521, 21920, 2652, 476, 271, 912, 825, 1948, 1363, 2132, 834, 4840, 825, 1948, 672, 13074, 815, 476, 272, 454, 825, 1948, 672, 13074, 18360, 815, 521, 314, 271, 2639, 825, 1948, 672, 585, 7329, 343, 538, 2039, 4433, 21920, 2187, 825, 1948, 1363, 585, 795, 11459, 538, 2039, 4433, 21920, 268, 272, 267, 7329, 343, 1341, 13074, 268, 272, 16427, 272, 2187, 825, 1948, 17264, 568, 21595, 785, 668, 545, 815, 6936, 454, 825, 1948, 17264, 1699, 21920, 815, 795, 11459, 910, 7329, 343, 1341, 476, 272, 454, 825, 1948, 17264, 1647, 815, 7329, 343, 1341, 2979, 269, 28776, 263, 9690, 21920, 270, 273, 994, 825, 1948, 17264, 9642, 10214, 815, 630, 9690, 21920, 1341, 476, 272, 264, 4939, 476, 273, 3097, 825, 1948, 17264, 585, 15848, 538, 2039, 263, 271, 267, 2979, 269, 576, 559, 263, 9690, 21920, 270, 275, 15892, 825, 1948, 4449, 952, 521, 314, 30915, 266, 11459, 316, 11203, 521, 14728, 11459, 1673, 343, 316, 610, 521, 314, 332, 1497, 266, 11459, 316, 11203, 521, 314, 332, 1497, 1673, 343, 268, 15957, 10214, 14158, 825, 1948, 4449, 672, 568, 21595, 785, 668, 545, 815, 8771, 454, 825, 1948, 4449, 672, 2736, 454, 825, 1948, 17264, 952, 568, 21595, 785, 668, 545, 912, 825, 1948, 4449, 13074, 815, 1699, 21920, 454, 825, 1948, 4449, 13074, 18360, 815, 521, 314, 30915, 281, 329, 11459, 266, 272, 2639, 825, 1948, 4449, 2736, 454, 825, 1948, 1363, 952, 13074, 13843, 630, 338, 21920, 910, 7329, 343, 2187, 825, 1948, 17264, 2736, 454, 825, 1948, 672, 2132, 13074, 18360, 692, 825, 12361, 476, 11011, 269, 4792, 1315, 476, 2420, 269, 7597, 454, 825, 1219, 13074, 21595, 30308, 4311, 267, 521, 281, 1193, 264, 9847, 1193, 912, 1038, 521, 21920, 815, 7003, 4433, 994, 1038, 952, 521, 21920, 2652, 476, 271, 912, 2018, 2132, 834, 4840, 1038, 1647, 815, 2979, 269, 28776, 4433, 21920, 270, 273, 994, 1038, 13074, 18360, 815, 521, 314, 332, 1497, 2639, 1038, 585, 7329, 343, 538, 2039, 4433, 21920, 2187, 2018, 952, 630, 338, 21920, 268, 30915, 12684 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1219, 6449, 8181, 9191, 1345, 267, 4604, 8029, 1038, 15981, 1477, 1038, 20472, 528, 585, 519, 6796, 1362, 23228, 1038, 2433, 12407, 4604, 281, 606, 3236, 540, 519, 8274, 1362, 267, 8204, 519, 4604, 540, 519, 3014, 1477, 1038, 15981, 1477, 1038, 1582, 11519, 4580, 815, 4604, 5897, 825, 7711, 27393, 1399, 1477, 825, 1219, 4604, 4311, 8029, 1038, 15981, 1477, 1038, 16296, 8204, 519, 1205, 614, 585, 519, 4604, 23228, 1038, 2433, 8873, 6769, 1038, 15981, 1477, 1038, 2132, 1582, 11519, 4580, 5897, 825, 1219, 6449, 1598, 9191, 1345, 8029, 1038, 15981, 1477, 1038, 3683, 337, 4575, 519, 1193, 1505, 23228, 1038, 2433, 8873, 281, 519, 4604, 6719, 607, 513, 5569, 267, 585, 8228, 593, 519, 5496, 1477, 1038, 15981, 1477, 1038, 2132, 1193, 4311, 11519, 4580, 10142, 825, 1219, 6345, 8548, 913, 4311, 267, 6241, 8029, 1038, 15981, 1477, 1038, 9577, 585, 4946, 513, 1167, 593, 519, 4604, 593, 513, 2990, 6074, 676, 519, 1480, 6345, 23228, 1038, 2433, 12407, 6241, 281, 519, 6241, 593, 799, 519, 6345, 16858, 547, 1039, 513, 1167, 1477, 1038, 2433, 8873, 6769, 1038, 15981, 1477, 1038, 1582, 11519, 4580, 6230, 913, 263, 26383, 267, 834, 311, 257, 10142, 825, 1219, 2780, 8548, 913, 4311, 8029, 1038, 15981, 31262, 585, 7598, 519, 2780, 6345, 269, 898, 568, 2469, 547, 1847, 547, 3094, 1477, 1038, 519, 3014, 8164, 2009, 543, 547, 3625, 519, 1480, 6345, 779, 8942, 693, 476, 272, 2173, 913, 11802, 267, 1477, 1038, 8164, 2009, 269, 19227, 267, 621, 23297, 513, 4351, 6241, 689, 1346, 799, 616, 711, 2407, 543, 4025, 513, 1167, 269, 18257, 1477, 1038, 2009, 8548, 7174, 815, 1582, 11519, 4580, 10947, 7272, 6372, 8548, 7174, 31476, 1038, 15981, 307, 1845, 547, 3094, 18257, 1477, 1038, 585, 1847, 538, 2009, 8548, 7174, 6769, 2018, 4604, 6831, 4878, 815, 1582, 11519, 4580, 6983, 4878, 14052, 2018, 4604, 6831, 4878, 6230, 913, 9852, 913, 267, 834, 302, 14744, 2018, 952, 4604, 6831, 4878, 269, 7773, 3890, 2652, 6936, 6769, 3546, 1582, 11519, 4580, 6230, 913, 9852, 913, 267, 834, 302, 14744, 3546, 2132, 5897, 1038, 15981, 7922, 4169, 519, 6345, 269, 18257, 1477, 1038, 585, 1847, 538, 2009, 8548, 7174, 6769, 2018, 4604, 6831, 4878, 815, 1582, 11519, 4580, 6983, 4878, 14052, 2018, 4604, 6831, 4878, 6230, 913, 9852, 913, 267, 834, 311, 14744, 2018, 952, 4604, 6831, 4878, 269, 7773, 3890, 2652, 6936, 6769, 3546, 1582, 11519, 4580, 6230, 913, 9852, 913, 267, 834, 302, 14744, 3546, 2132, 5897, 1038, 1582, 11519, 4580, 6230, 913, 263, 577, 4069, 9638, 6372, 8548, 7174, 1070, 834, 302, 257, 10142, 5035, 4530, 318, 306, 16291, 263, 684, 8636, 652, 11053, 652, 19111, 8029, 825, 1219, 1305, 10000, 4311, 8029, 1038, 1582, 269, 4580, 815, 8274, 14052, 1038, 1582, 4732, 16291, 815, 6796, 4311, 269, 4580, 10142, 825, 1219, 15237, 291, 1144, 4311, 8029, 1038, 1582, 269, 4580, 815, 7183, 1477, 1038, 1582, 4732, 16291, 815, 7183, 5897, 825, 1219, 1449, 8548, 913, 318, 16058, 318, 16651, 4311, 8029, 1038, 1582, 4732, 16291, 269, 16651, 8548, 913, 263, 272, 3418, 1038, 4604, 815, 1582, 4732, 16291, 269, 4580, 1477, 1038, 1582, 27863, 29033, 11519, 11907, 314, 276, 6012, 272, 3910, 834, 311, 257, 10142, 825, 1219, 1449, 318, 26367, 8548, 913, 4311, 8029, 1038, 585, 795, 538, 2039, 263, 271, 267, 476, 274, 8029, 2018, 1582, 4732, 16291, 269, 16651, 8548, 913, 27203, 3418, 1038, 1582, 4732, 16291, 2593, 13459, 8548, 913, 14052, 1038, 4604, 815, 1582, 4732, 16291, 269, 4580, 1477, 1038, 1582, 27863, 29033, 11519, 11907, 314, 276, 6012, 274, 3910, 834, 302, 14744, 1038, 4604, 6230, 913, 263, 275, 267, 834, 302, 14744, 1038, 4604, 6230, 913, 263, 276, 267, 834, 302, 14744, 1038, 1582, 4732, 16291, 2593, 13459, 8548, 913, 14052, 1038, 1582, 20596, 12148, 29033, 269, 7773, 28829, 0, 5228, 3113, 1104, 8641, 13286, 1477, 5228, 3113, 1104, 6034, 539, 14682, 1429, 5897, 5035, 1230, 18030, 281, 5897, 825, 1219, 6449, 8181, 9191, 1345, 267, 17120, 8029, 1038, 1582, 11519, 19055, 518, 815, 17120, 1477, 1038, 1582, 11519, 5443, 340, 815, 834, 272, 269, 5192, 519, 1297, 540, 14622, 26142, 333, 257, 1422, 1477, 4449, 672, 834, 273, 269, 3474, 572, 519, 1305, 540, 14622, 26142, 333, 257, 1422, 1477, 4449, 672, 834, 274, 269, 4855, 856, 2436, 972, 568, 543, 6316, 689, 1535, 547, 586, 26142, 333, 257, 1422, 1477, 4449, 672, 834, 275, 269, 3474, 572, 519, 1305, 540, 856, 20129, 8728, 540, 1535, 26142, 333, 257, 1422, 1477, 4449, 672, 834, 276, 269, 3474, 572, 519, 1305, 540, 538, 20129, 8728, 540, 1535, 26142, 333, 257, 1422, 1477, 4449, 672, 834, 277, 269, 4825, 4471, 557, 519, 1942, 540, 519, 6316, 689, 1535, 547, 586, 26142, 333, 257, 1422, 1477, 4449, 672, 834, 278, 269, 3525, 1518, 519, 1942, 540, 519, 6316, 689, 1535, 547, 586, 26142, 333, 257, 1422, 1477, 4449, 672, 834, 279, 269, 5410, 6316, 26142, 333, 257, 1422, 1477, 4449, 672, 834, 280, 269, 17179, 6316, 26142, 333, 257, 1422, 1477, 4449, 672, 834, 1015, 269, 5410, 14584, 26142, 333, 257, 1422, 1477, 4449, 672, 834, 1556, 269, 17179, 14584, 26142, 333, 257, 1422, 1477, 4449, 672, 834, 1321, 269, 7179, 519, 538, 4110, 543, 519, 856, 4110, 26142, 333, 257, 1422, 1477, 4449, 672, 834, 1724, 269, 7179, 9678, 14622, 26142, 333, 257, 1422, 1477, 4449, 672, 834, 1691, 269, 1401, 527, 26142, 333, 257, 1422, 1477, 4449, 672, 834, 1428, 269, 4855, 519, 4448, 3334, 540, 606, 3768, 20526, 3113, 26142, 333, 257, 1422, 1477, 4449, 672, 834, 1626, 269, 7179, 9803, 1942, 2619, 1063, 1079, 14622, 26142, 333, 257, 5897, 825, 1219, 2196, 4311, 8029, 1038, 1247, 6936, 6769, 2018, 2119, 6769, 3546, 1820, 4311, 11519, 5443, 340, 3418, 3546, 3903, 815, 703, 9272, 3890, 3418, 3546, 952, 3903, 2652, 476, 272, 6769, 7386, 1582, 11519, 14241, 318, 2745, 20311, 15058, 318, 3200, 1182, 14052, 3546, 8640, 3903, 2652, 476, 273, 6769, 7386, 1582, 11519, 14241, 318, 2745, 318, 3200, 1182, 14052, 3546, 8640, 3903, 2652, 476, 274, 6769, 7386, 1582, 11519, 14241, 318, 13765, 318, 8354, 14052, 3546, 8640, 3903, 2652, 476, 275, 6769, 7386, 1582, 11519, 14241, 318, 2745, 318, 719, 20129, 318, 539, 2471, 15058, 13448, 14052, 3546, 8640, 3903, 2652, 476, 276, 6769, 7386, 1582, 11519, 14241, 318, 2745, 18425, 20129, 318, 539, 2471, 15058, 13448, 14052, 3546, 8640, 3903, 2652, 476, 277, 6769, 7386, 1582, 11519, 14241, 318, 4958, 4471, 557, 6831, 739, 15058, 318, 8354, 14052, 3546, 8640, 3903, 2652, 476, 278, 6769, 7386, 1582, 11519, 14241, 318, 7116, 1518, 6831, 739, 15058, 318, 8354, 14052, 3546, 8640, 3903, 2652, 476, 279, 6769, 7386, 1582, 11519, 14241, 318, 5417, 318, 8354, 14052, 3546, 8640, 3903, 2652, 476, 280, 6769, 7386, 1582, 11519, 14241, 318, 24525, 318, 8354, 14052, 3546, 8640, 3903, 2652, 476, 1015, 6769, 7386, 1582, 11519, 14241, 318, 5417, 318, 591, 23753, 14052, 3546, 8640, 3903, 2652, 476, 1556, 6769, 7386, 1582, 11519, 14241, 318, 24525, 318, 591, 23753, 14052, 3546, 8640, 3903, 2652, 476, 1321, 6769, 7386, 1582, 11519, 14241, 318, 2745, 18425, 5091, 12801, 318, 663, 318, 719, 5091, 12801, 14052, 3546, 8640, 3903, 2652, 476, 1724, 6769, 7386, 1582, 11519, 14241, 318, 2745, 318, 18066, 730, 318, 3200, 1182, 14052, 3546, 8640, 3903, 2652, 476, 1691, 6769, 7386, 2132, 1477, 3546, 8640, 3903, 2652, 476, 1428, 6769, 7386, 1582, 11519, 14241, 318, 2745, 318, 8588, 318, 4818, 7859, 14052, 3546, 8640, 3903, 2652, 476, 1626, 6769, 7386, 1582, 269, 14241, 318, 2745, 318, 869, 652, 6831, 739, 16062, 1779, 14052, 3546, 3116, 6769, 7386, 6318, 28759, 2891, 514, 20777, 3903, 10590, 3418, 2018, 4849, 28759, 607, 1654, 6769, 3546, 1820, 263, 557, 3418, 2018, 4849, 8641, 13286, 607, 2520, 6769, 3546, 1820, 263, 613, 3418, 2018, 4849, 7392, 13286, 607, 751, 6769, 3546, 1820, 263, 974, 10142, 825, 1219, 9041, 14241, 318, 2745, 20311, 15058, 318, 3200, 1182, 4311, 8029, 1038, 1820, 4311, 11519, 19055, 518, 269, 8873, 20311, 15058, 318, 3200, 1182, 3890, 10142, 825, 1219, 9041, 14241, 318, 5417, 318, 8354, 4311, 8029, 1038, 1007, 318, 8354, 13448, 815, 703, 9272, 2891, 343, 815, 834, 17903, 1038, 1007, 318, 8354, 14729, 815, 703, 9272, 2891, 344, 815, 834, 17903, 1038, 1007, 318, 8354, 6831, 739, 815, 703, 9272, 2891, 322, 739, 815, 834, 17903, 1038, 1582, 11519, 19055, 518, 14491, 318, 2908, 318, 8354, 28956, 318, 8354, 13448, 267, 1007, 318, 8354, 14729, 267, 1007, 318, 8354, 6831, 739, 10142, 825, 1219, 9041, 14241, 318, 13765, 318, 8354, 4311, 8029, 1038, 1535, 815, 703, 9272, 2891, 343, 815, 834, 17903, 1038, 586, 815, 703, 9272, 2891, 344, 815, 834, 17903, 1038, 952, 1582, 11519, 19055, 518, 269, 13765, 318, 604, 318, 8354, 318, 1410, 1235, 3287, 267, 586, 264, 568, 6936, 6769, 2018, 1820, 2891, 10955, 613, 6818, 10590, 3418, 1038, 3116, 6769, 2018, 1820, 2891, 10955, 613, 1281, 711, 2291, 10590, 10142, 825, 1219, 9041, 14241, 318, 5417, 318, 591, 23753, 4311, 8029, 1038, 1535, 815, 703, 9272, 2891, 343, 815, 834, 17903, 1038, 1582, 11519, 19055, 518, 14491, 318, 2908, 318, 591, 23753, 3287, 10142, 825, 1219, 9041, 14241, 318, 24525, 318, 8354, 4311, 8029, 1038, 6316, 15461, 318, 24525, 13448, 815, 703, 9272, 2891, 343, 815, 834, 17903, 1038, 6316, 15461, 318, 24525, 14729, 815, 703, 9272, 2891, 344, 815, 834, 17903, 1038, 1582, 11519, 19055, 518, 31927, 318, 8354, 263, 8354, 15461, 318, 24525, 13448, 267, 6316, 15461, 318, 24525, 14729, 10142, 825, 1219, 9041, 14241, 318, 2745, 318, 3200, 1182, 4311, 8029, 1038, 1592, 15058, 318, 3200, 1182, 815, 1582, 11519, 19055, 518, 269, 8873, 318, 718, 318, 3200, 1182, 14052, 1038, 585, 14584, 538, 1592, 15058, 318, 3200, 1182, 6769, 2018, 1820, 263, 591, 23753, 10142, 825, 1219, 9041, 14241, 318, 2745, 318, 18066, 730, 318, 3200, 1182, 4311, 8029, 1038, 585, 1535, 538, 1582, 11519, 19055, 518, 10947, 318, 18066, 730, 318, 3200, 1182, 28399, 2018, 1820, 3287, 10142, 825, 1219, 9041, 14241, 318, 2745, 18425, 5091, 12801, 318, 663, 318, 719, 5091, 12801, 4311, 8029, 1038, 1535, 815, 703, 9272, 2891, 343, 815, 834, 17903, 1038, 1820, 2891, 1103, 4110, 281, 14307, 1439, 284, 3269, 3418, 1038, 1820, 4311, 11519, 19055, 518, 10947, 18425, 5091, 12801, 3287, 17903, 1038, 1820, 2891, 11073, 4110, 281, 14307, 1439, 284, 3269, 3418, 1038, 1820, 4311, 11519, 19055, 518, 10947, 318, 719, 5091, 12801, 3287, 264, 10142, 825, 1219, 9041, 14241, 318, 2745, 318, 719, 20129, 318, 539, 2471, 15058, 13448, 4311, 8029, 1038, 1535, 815, 703, 9272, 2891, 343, 815, 834, 17903, 1038, 1967, 832, 15058, 13448, 815, 1582, 11519, 19055, 518, 10947, 5334, 15471, 832, 15058, 13448, 3287, 3418, 1038, 585, 586, 538, 1967, 832, 15058, 13448, 6769, 2018, 1820, 12169, 10142, 825, 1219, 9041, 14241, 318, 2745, 18425, 20129, 318, 539, 2471, 15058, 13448, 4311, 8029, 1038, 1535, 815, 703, 9272, 2891, 343, 815, 834, 17903, 1038, 21530, 25600, 15058, 13448, 815, 1582, 11519, 19055, 518, 10947, 28177, 324, 25600, 15058, 13448, 3287, 3418, 1038, 585, 586, 538, 21530, 25600, 15058, 13448, 6769, 2018, 1820, 12169, 10142, 825, 1219, 9041, 14241, 318, 4958, 4471, 557, 6831, 739, 15058, 318, 8354, 4311, 8029, 1038, 1535, 815, 703, 9272, 2891, 343, 815, 834, 17903, 1038, 586, 815, 703, 9272, 2891, 344, 815, 834, 17903, 1038, 1820, 4311, 11519, 19055, 518, 269, 4958, 4471, 557, 6831, 739, 3287, 267, 586, 264, 10142, 825, 1219, 9041, 14241, 318, 7116, 1518, 6831, 739, 15058, 318, 8354, 4311, 8029, 1038, 1535, 815, 703, 9272, 2891, 343, 815, 834, 17903, 1038, 586, 815, 703, 9272, 2891, 344, 815, 834, 17903, 1038, 1007, 6831, 739, 815, 703, 9272, 2891, 322, 739, 815, 834, 17903, 1038, 1582, 11519, 19055, 518, 6230, 617, 1518, 6831, 739, 3287, 267, 586, 267, 1007, 6831, 739, 10142, 825, 1219, 9041, 14241, 318, 24525, 318, 591, 23753, 4311, 8029, 1038, 1535, 815, 703, 9272, 2891, 343, 815, 834, 17903, 1038, 1582, 11519, 19055, 518, 31927, 318, 591, 23753, 3287, 10142, 825, 1219, 9041, 14241, 318, 2745, 318, 8588, 318, 4818, 7859, 4311, 8029, 1038, 4448, 318, 4818, 7859, 815, 1582, 11519, 19055, 518, 10947, 318, 8588, 318, 4818, 7859, 14052, 1038, 1016, 14682, 1429, 20311, 815, 476, 272, 1477, 1038, 585, 1016, 14682, 1429, 538, 4448, 318, 4818, 7859, 6769, 2018, 1948, 1721, 14584, 272, 538, 1016, 14682, 1429, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8325, 1145, 540, 519, 16982, 676, 4227, 922, 2048, 21459, 8700, 693, 3368, 5021, 685, 676, 513, 3815, 540, 476, 273, 1510, 4657, 267, 649, 991, 547, 2569, 1109, 305, 1109, 1729, 3368, 1775, 4318, 1421, 692, 4910, 2700, 692, 9223, 476, 278, 269, 2420, 1384, 5416, 264, 1109, 769, 1022, 1035, 5547, 267, 568, 519, 4294, 31302, 6453, 3160, 547, 519, 15821, 2040, 540, 519, 31302, 28696, 2066, 519, 3126, 2609, 540, 519, 5547, 286, 1772, 519, 1482, 3020, 585, 678, 916, 6453, 2496, 6357, 264, 1109, 589, 19218, 568, 1031, 538, 519, 3119, 5547, 540, 606, 15632, 16509, 780, 6262, 264, 1109, 1323, 4294, 6453, 5365, 5161, 540, 513, 2706, 6570, 540, 513, 546, 322, 6453, 543, 606, 1035, 6453, 540, 1164, 4908, 269, 634, 5547, 5161, 540, 606, 1802, 2758, 543, 513, 19218, 538, 3126, 269, 8058, 602, 519, 546, 322, 5365, 786, 2408, 2066, 30548, 519, 1035, 5365, 2066, 1109, 299, 780, 5560, 264, 1109, 589, 1781, 651, 16509, 538, 3126, 609, 513, 17689, 568, 4448, 547, 513, 546, 322, 1899, 269, 634, 17689, 568, 2938, 547, 19542, 29116, 269, 23453, 542, 540, 606, 4401, 4295, 538, 519, 1781, 651, 3123, 1100, 1689, 538, 519, 17689, 779, 21386, 269, 21023, 519, 7222, 7422, 952, 519, 4276, 568, 547, 606, 1035, 1899, 780, 16216, 264, 1109, 4208, 568, 1781, 651, 16509, 2877, 538, 519, 946, 540, 24638, 13740, 609, 1035, 1292, 338, 286, 4208, 666, 649, 711, 946, 606, 8723, 19919, 3079, 540, 519, 1781, 651, 16509, 2496, 5416, 264, 1109, 8786, 282, 519, 3948, 568, 711, 3020, 585, 678, 916, 6453, 692, 2005, 568, 3020, 602, 538, 1022, 1035, 5547, 267, 519, 4294, 6453, 568, 3160, 547, 519, 3328, 2040, 540, 519, 31302, 28696, 2066, 519, 3126, 2609, 540, 519, 5547, 269, 1717, 267, 713, 568, 711, 3020, 585, 678, 916, 6453, 1317, 28696, 2066, 1114, 2609, 949, 711, 581, 538, 5123, 780, 6357, 264, 1109, 4400, 13251, 6453, 568, 1031, 547, 5279, 519, 19218, 780, 288, 19218, 568, 1031, 538, 519, 3119, 5547, 540, 606, 15632, 16509, 269, 901, 568, 1317, 950, 519, 5547, 568, 7745, 267, 513, 1164, 13251, 6453, 568, 1031, 547, 5279, 519, 19218, 547, 2057, 31168, 780, 6262, 264, 1109, 634, 546, 322, 5365, 786, 2408, 2066, 19218, 1109, 290, 1109, 20357, 585, 546, 322, 6786, 267, 519, 25317, 540, 606, 1802, 2758, 630, 299, 264, 568, 30050, 1247, 519, 25317, 540, 513, 19218, 630, 290, 264, 568, 1360, 1164, 630, 531, 2865, 12808, 1040, 9747, 267, 513, 546, 322, 5365, 5526, 2066, 1109, 290, 269, 1280, 606, 1035, 5365, 540, 1164, 4908, 267, 519, 25317, 540, 1109, 299, 28812, 1164, 543, 602, 540, 1109, 290, 28812, 1360, 1970, 269, 9747, 267, 606, 1035, 5365, 540, 1164, 4908, 5526, 2066, 1109, 299, 780, 5560, 264, 1109, 1403, 606, 4401, 4295, 568, 17332, 538, 519, 1781, 651, 16509, 630, 6518, 568, 538, 3126, 609, 513, 17689, 4448, 547, 519, 1035, 1899, 1070, 1287, 519, 17689, 786, 16657, 27452, 269, 901, 568, 1317, 519, 1781, 651, 16509, 543, 519, 4401, 4295, 2333, 519, 25317, 540, 519, 5547, 780, 16216, 264, 1109, 589, 1781, 651, 16509, 568, 2877, 538, 519, 946, 540, 24638, 13740, 609, 1035, 1292, 338, 1317, 621, 6971, 519, 6453, 2066, 519, 8546, 1510, 27830, 1454, 1379, 269, 1323, 8723, 19919, 3112, 581, 1031, 3079, 540, 513, 1781, 651, 16509, 585, 713, 3483, 1317, 621, 22837, 1379, 538, 519, 1106, 540, 3002, 780, 9223, 476, 278, 269, 2537, 1384, 288, 1379, 6771, 1899, 20555, 3403, 1379, 693, 476, 15996, 271, 966, 547, 513, 1900, 6658, 22155, 609, 922, 3119, 2842, 902, 2348, 476, 6110, 271, 7140, 269, 1548, 1058, 581, 519, 1297, 540, 7140, 538, 519, 6281, 538, 1931, 547, 1205, 3977, 1379, 693, 476, 15996, 966, 2496, 19152, 6453, 267, 1109, 309, 272, 1109, 284, 476, 15996, 271, 692, 10831, 540, 7140, 538, 3119, 16509, 267, 1109, 333, 272, 1109, 284, 476, 6110, 271, 692, 20479, 6453, 267, 1109, 309, 273, 1109, 284, 476, 15996, 966, 692, 10831, 540, 7140, 538, 6281, 16509, 815, 1109, 333, 273, 692, 14157, 5653, 568, 1644, 547, 519, 1297, 540, 7140, 607, 1384, 17798, 267, 972, 616, 476, 6110, 7140, 538, 519, 2034, 23090, 780, 9223, 476, 278, 269, 2190, 1384, 4263, 513, 32394, 1379, 2030, 267, 519, 1216, 2604, 2212, 568, 693, 513, 4463, 540, 476, 4968, 544, 543, 519, 1216, 2095, 2139, 568, 476, 1911, 20444, 6629, 272, 269, 1403, 519, 17081, 11718, 4398, 568, 476, 2568, 9077, 7447, 519, 3167, 1379, 2139, 689, 519, 2030, 630, 326, 284, 476, 280, 269, 279, 544, 521, 6629, 273, 6393, 3891, 697, 540, 1216, 2604, 2212, 267, 1109, 327, 1109, 284, 476, 4968, 544, 692, 24127, 540, 1216, 2095, 829, 2034, 267, 1109, 309, 1109, 284, 476, 1911, 544, 274, 4882, 692, 292, 11797, 540, 17081, 11718, 267, 1109, 333, 1109, 284, 476, 2568, 260, 815, 476, 271, 269, 277, 692, 10907, 5120, 566, 1813, 547, 8904, 267, 575, 815, 476, 280, 269, 279, 544, 4882, 273, 692, 291, 3748, 540, 1216, 267, 1109, 16708, 1109, 284, 476, 9818, 1109, 11899, 8276, 274, 692, 25821, 1379, 2139, 689, 519, 2030, 815, 1109, 24341, 1109, 9943, 1109, 326, 309, 692, 284, 476, 271, 269, 277, 6398, 476, 4968, 6398, 476, 9818, 1109, 9943, 476, 280, 269, 279, 6398, 476, 1911, 692, 284, 476, 12293, 269, 275, 6398, 476, 11793, 1109, 310, 692, 284, 476, 12293, 269, 275, 24448, 692, 9223, 476, 278, 269, 1839, 1384, 288, 1507, 4884, 609, 513, 3747, 540, 476, 8517, 737, 310, 540, 3167, 1379, 693, 476, 13136, 966, 568, 13883, 476, 1428, 5998, 2476, 689, 606, 3167, 2030, 10451, 1379, 693, 476, 24496, 966, 269, 634, 4187, 540, 519, 1079, 5911, 1899, 8876, 1379, 568, 476, 271, 269, 276, 3852, 358, 829, 5998, 269, 634, 4884, 4991, 1379, 689, 519, 1899, 998, 513, 476, 6110, 271, 268, 13136, 966, 1900, 16365, 22155, 693, 513, 1016, 3613, 566, 538, 519, 4884, 780, 5416, 264, 1109, 6480, 1493, 519, 1899, 1379, 2530, 538, 519, 1106, 540, 3002, 780, 6357, 264, 1109, 1215, 1454, 1379, 1590, 519, 2030, 3761, 267, 14322, 972, 568, 30050, 1379, 2530, 1813, 547, 24694, 2496, 6262, 264, 1109, 10886, 1047, 519, 1900, 909, 22155, 693, 519, 2030, 780, 13707, 3167, 1379, 2838, 267, 1109, 303, 1109, 284, 476, 8517, 737, 310, 815, 476, 8517, 6398, 476, 9818, 1109, 310, 692, 11045, 569, 6453, 267, 1109, 309, 1109, 284, 476, 13136, 966, 692, 14157, 5653, 693, 799, 3167, 2030, 568, 10451, 1379, 267, 1109, 309, 8072, 815, 476, 24496, 966, 692, 291, 2700, 1063, 519, 4884, 543, 1379, 10451, 6728, 267, 1109, 323, 1109, 284, 476, 1428, 5998, 692, 4910, 2700, 540, 519, 1079, 5911, 3515, 8876, 1379, 815, 476, 271, 269, 276, 3852, 358, 270, 14790, 692, 13707, 4187, 540, 519, 12904, 267, 1109, 305, 1109, 284, 630, 1428, 1341, 476, 1428, 264, 271, 269, 276, 815, 476, 1428, 3852, 358, 692, 288, 1900, 16365, 22155, 540, 12773, 476, 6110, 271, 6567, 476, 13136, 966, 568, 1031, 538, 519, 1016, 3613, 566, 780, 19152, 6453, 267, 1109, 309, 272, 1109, 284, 476, 6110, 271, 966, 692, 20479, 6453, 267, 1109, 309, 273, 1109, 284, 476, 13136, 966, 692, 305, 916, 1699, 538, 519, 5911, 3515, 568, 2016, 607, 1384, 5416, 264, 1109, 7412, 1379, 2530, 815, 1109, 296, 273, 305, 692, 284, 630, 1220, 264, 273, 1109, 9943, 476, 1428, 692, 284, 476, 7785, 6398, 476, 9818, 1109, 310, 692, 284, 476, 7785, 737, 310, 692, 6357, 264, 1109, 32114, 602, 519, 1379, 2530, 568, 30050, 1813, 547, 519, 24694, 540, 519, 1699, 1384, 13707, 1379, 13859, 676, 519, 2030, 815, 476, 8517, 737, 310, 1341, 476, 7785, 737, 310, 692, 284, 476, 9610, 271, 737, 310, 692, 6262, 264, 1109, 30579, 6749, 538, 519, 1379, 1899, 815, 1109, 7644, 1109, 284, 476, 1220, 6398, 476, 1428, 815, 476, 4968, 271, 966, 692, 17798, 267, 2698, 6453, 10299, 689, 519, 2030, 815, 476, 4968, 271, 1341, 476, 6110, 271, 692, 284, 476, 10384, 271, 966, 692, 9827, 267, 519, 1379, 6383, 568, 476, 24496, 966, 780, 17798, 267, 519, 12773, 540, 519, 1900, 5346, 22155, 13883, 693, 519, 1379, 2030, 568, 476, 24496, 966, 6567, 476, 10384, 271, 966, 780, 9223, 476, 278, 269, 2918, 1384, 2710, 519, 1482, 3635, 607, 1657, 609, 519, 10682, 540, 519, 4505, 22155, 676, 513, 476, 2412, 267, 1822, 268, 13136, 966, 1900, 16365, 22155, 630, 27078, 937, 267, 607, 1354, 267, 24694, 9271, 1498, 713, 949, 711, 581, 513, 1434, 13429, 1022, 3476, 1317, 540, 519, 1360, 1164, 6453, 6771, 3238, 1040, 9747, 267, 2491, 1946, 1164, 6453, 6771, 568, 9053, 2496, 763, 12773, 540, 513, 1900, 16365, 22155, 568, 476, 6110, 876, 966, 6629, 13136, 966, 780, 19152, 6453, 267, 1109, 309, 272, 1109, 284, 476, 6110, 876, 966, 692, 20479, 6453, 267, 1109, 309, 273, 1109, 284, 476, 13136, 966, 692, 13707, 3167, 1379, 2838, 267, 1109, 303, 1109, 284, 476, 8517, 737, 310, 815, 476, 8517, 6398, 476, 9818, 1109, 310, 692, 13126, 1761, 267, 1109, 309, 1109, 284, 476, 13136, 966, 692, 14157, 5653, 693, 799, 519, 3167, 2030, 12958, 1379, 267, 1109, 309, 8072, 815, 476, 24496, 966, 692, 291, 2700, 1063, 519, 4884, 543, 1379, 10451, 6728, 267, 1109, 323, 1109, 284, 476, 1428, 5998, 692, 4910, 2700, 540, 519, 1079, 5911, 3515, 8876, 1379, 815, 476, 271, 269, 276, 3852, 358, 270, 14790, 692, 13707, 4187, 540, 519, 5911, 3515, 267, 1109, 305, 1109, 284, 630, 1428, 1341, 476, 1428, 264, 271, 269, 276, 815, 476, 1428, 3852, 358, 692, 303, 1109, 284, 966, 272, 296, 692, 305, 916, 1699, 538, 519, 5911, 1899, 568, 2016, 607, 1384, 5416, 264, 1109, 7412, 1379, 2530, 815, 1109, 296, 273, 305, 692, 284, 630, 736, 264, 273, 1109, 9943, 476, 1428, 815, 476, 277, 737, 310, 692, 6357, 264, 1109, 32114, 602, 519, 1379, 2530, 568, 30050, 1813, 547, 519, 24694, 540, 1699, 780, 17798, 267, 1379, 13859, 676, 519, 2030, 815, 476, 8517, 737, 310, 1341, 476, 277, 330, 310, 815, 476, 3199, 277, 737, 310, 692, 6262, 264, 1109, 30579, 6749, 538, 519, 1379, 1899, 815, 1109, 7644, 1109, 284, 476, 736, 6398, 476, 1428, 815, 476, 4968, 966, 692, 17798, 267, 6453, 602, 568, 10299, 676, 519, 1379, 2030, 692, 284, 476, 4968, 1341, 476, 6110, 876, 815, 476, 29889, 876, 966, 692, 763, 1379, 568, 1373, 6383, 538, 519, 2030, 693, 476, 24496, 966, 780, 17798, 267, 519, 12773, 540, 519, 1900, 5346, 22155, 2877, 693, 519, 2030, 568, 692, 24496, 966, 6567, 476, 29889, 876, 966, 780, 17798, 267, 1379, 2530, 1282, 6771, 692, 1103, 519, 3105, 3635, 267, 519, 1379, 2530, 1813, 547, 519, 1482, 2601, 269, 4595, 519, 1379, 2530, 568, 1447, 585, 513, 1164, 6453, 6771, 267, 1164, 6453, 18993, 3827, 616, 9053, 585, 713, 3483, 780, 1012, 19436, 10298, 4147, 476, 1321, 8212, 3848, 476, 278, 1107, 10201, 908, 7351, 692, 3383, 2484, 3388, 4988, 538, 519, 3105, 11271, 540, 519, 19436, 814, 782, 1044, 6045, 5329, 546, 322, 11387, 543, 741, 3498, 538, 2247, 269, 715, 4488, 20670, 4147, 476, 1321, 8212, 3848, 476, 278, 9388, 609, 20367, 1699, 543, 1035, 11387, 269, 634, 1292, 2601, 585, 713, 568, 519, 1483, 8996, 3498, 540, 10201, 908, 7351, 269, 769, 16566, 267, 6140, 938, 7622, 14233, 543, 4853, 3937, 8276, 778, 10320, 616, 782, 2966, 547, 2196, 593, 1035, 780, 763, 1699, 10299, 547, 938, 5321, 676, 519, 6771, 20610, 568, 849, 1035, 269, 634, 6305, 2601, 585, 713, 568, 547, 2569, 519, 1648, 9271, 602, 616, 30309, 1282, 519, 6771, 540, 1699, 269, 10201, 908, 1699, 666, 581, 3927, 10299, 936, 3476, 9883, 1510, 1454, 1648, 1373, 4503, 269, 634, 1739, 3184, 3382, 1035, 543, 922, 3741, 267, 922, 3498, 267, 543, 1035, 11387, 780, 2162, 11762, 547, 1353, 538, 19436, 8212, 4147, 476, 1321, 3848, 476, 278, 692, 1892, 4985, 454, 1892, 3600, 30579, 11930, 1677, 589, 1763, 626, 528, 454, 1892, 23830, 2986, 3600, 7351, 1656, 30579, 1635, 15585, 908, 966, 26662, 2443, 1912, 553, 832, 454, 1892, 3600, 30579, 11930, 1677, 1323, 1473, 340, 2758, 454, 1892, 3600, 30579, 11930, 1677, 589, 7167, 659, 3218, 454, 1892, 3600, 30579, 11930, 1677, 589, 10022, 700, 10135, 18065, 454, 1892, 31446, 744, 12965 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4651, 267, 29523, 543, 11029, 540, 602, 1899, 865, 2482, 9944, 519, 32127, 9350, 1765, 321, 2940, 987, 519, 24963, 632, 539, 543, 4622, 569, 21806, 519, 2229, 4171, 4031, 24009, 1590, 581, 610, 10751, 729, 1558, 539, 856, 267, 6862, 18423, 269, 0, 4517, 1379, 16531, 476, 272, 29355, 6710, 10526, 616, 12007, 2090, 602, 946, 29355, 2409, 547, 2263, 6710, 543, 922, 3123, 689, 519, 269, 7102, 1367, 781, 16148, 4879, 540, 741, 1378, 6710, 786, 2693, 581, 3833, 1114, 689, 602, 540, 606, 6662, 1158, 6710, 281, 2014, 543, 2360, 23891, 564, 1147, 2006, 1923, 269, 7085, 687, 540, 1004, 1472, 519, 1158, 2661, 538, 513, 4783, 540, 6710, 543, 4057, 1072, 602, 568, 2352, 547, 2736, 269, 1772, 513, 3818, 1795, 9643, 1523, 543, 875, 621, 814, 1082, 3123, 543, 2360, 1379, 16531, 1022, 476, 274, 3123, 540, 6710, 538, 519, 1158, 972, 616, 513, 1297, 540, 3123, 269, 634, 8847, 540, 6710, 9228, 3123, 540, 6710, 616, 4299, 676, 835, 779, 4567, 543, 4087, 543, 4606, 540, 1379, 16531, 563, 10870, 531, 819, 585, 2804, 5126, 6710, 568, 1379, 16531, 723, 547, 581, 5730, 538, 1931, 547, 10646, 1063, 2014, 543, 1198, 519, 2360, 540, 6710, 616, 269, 18648, 1072, 568, 513, 1463, 1198, 540, 3395, 909, 538, 6710, 543, 519, 3668, 540, 606, 2069, 4352, 930, 3173, 8044, 602, 11976, 2014, 4057, 1072, 269, 2622, 14000, 5013, 281, 3123, 267, 2360, 543, 811, 982, 476, 1691, 5479, 1004, 4867, 2661, 2630, 519, 3486, 6710, 5312, 14000, 568, 3361, 676, 1379, 16531, 269, 18648, 8027, 2298, 949, 2014, 7929, 24896, 543, 6689, 7063, 630, 3901, 974, 1299, 795, 659, 10849, 267, 476, 1220, 271, 264, 543, 949, 21592, 5626, 11605, 538, 1453, 630, 5271, 753, 267, 19401, 267, 1299, 4779, 577, 267, 476, 1220, 274, 264, 4057, 1453, 616, 811, 2693, 547, 2661, 538, 2025, 543, 14413, 638, 2299, 9738, 8027, 543, 547, 581, 6534, 547, 1291, 538, 890, 9934, 5862, 630, 338, 1173, 550, 1696, 620, 267, 476, 1960, 276, 28931, 320, 3815, 2404, 609, 8519, 1775, 336, 630, 338, 577, 23702, 345, 267, 476, 1960, 275, 1916, 763, 2360, 540, 6710, 616, 3978, 1453, 945, 1332, 909, 538, 6710, 7985, 811, 10770, 267, 7928, 267, 543, 4049, 1072, 2042, 982, 798, 1453, 945, 1332, 909, 896, 1732, 2883, 6381, 1082, 12256, 4535, 883, 6710, 723, 513, 1970, 4332, 2597, 267, 799, 568, 2404, 609, 1082, 28824, 2790, 543, 2168, 9124, 269, 1879, 649, 10355, 3247, 547, 13720, 519, 3390, 540, 6710, 3068, 6710, 538, 519, 22344, 2239, 281, 538, 5601, 676, 4570, 908, 519, 2014, 7146, 13716, 2078, 540, 563, 295, 558, 6804, 6710, 910, 3123, 543, 2360, 540, 26683, 2705, 267, 609, 1169, 2014, 972, 1590, 581, 606, 1198, 930, 540, 519, 2360, 540, 835, 4742, 15602, 269, 24770, 1797, 513, 17732, 585, 812, 781, 2596, 2115, 540, 7802, 267, 12062, 543, 1426, 2221, 267, 6710, 20807, 338, 1082, 1004, 2066, 519, 1158, 543, 2370, 814, 1044, 2944, 547, 26193, 621, 563, 2005, 1797, 22584, 267, 1379, 16531, 543, 17181, 540, 2043, 267, 10820, 543, 2950, 519, 2360, 540, 6710, 949, 849, 581, 3123, 607, 7396, 1657, 269, 15486, 540, 6710, 543, 513, 5943, 585, 2962, 835, 8905, 585, 14236, 519, 3123, 540, 6710, 568, 547, 608, 268, 2631, 540, 642, 18757, 6804, 1145, 543, 1379, 16531, 538, 519, 1128, 328, 268, 563, 296, 2015, 713, 513, 9097, 2856, 1317, 621, 6285, 519, 3597, 2014, 540, 6710, 281, 1379, 16531, 6710, 543, 1379, 16531, 616, 4952, 519, 1198, 540, 713, 269, 2368, 3056, 3123, 540, 6710, 1331, 13137, 1018, 616, 930, 3123, 543, 2360, 540, 6710, 513, 281, 2656, 2626, 930, 3056, 3123, 540, 6710, 1331, 13137, 269, 966, 18757, 6804, 1145, 9706, 1077, 16531, 568, 513, 2014, 543, 1198, 540, 6710, 1317, 1004, 2713, 538, 6207, 6710, 1419, 723, 1100, 2797, 1379, 543, 616, 16271, 547, 14226, 676, 519, 1533, 789, 3668, 4027, 267, 543, 1867, 7839, 13313, 1369, 1533, 2069, 543, 1072, 1416, 1949, 6185, 5877, 0, 763, 1377, 540, 946, 610, 7127, 2838, 568, 1360, 1970, 267, 9247, 1022, 957, 799, 568, 22522, 609, 519, 2924, 540, 519, 8227, 269, 1280, 1383, 267, 10024, 1776, 781, 3959, 693, 782, 1510, 10479, 610, 3656, 1318, 568, 512, 4046, 23035, 269, 1717, 267, 621, 13315, 513, 1454, 3677, 2039, 540, 6411, 267, 538, 1816, 532, 3850, 25061, 2831, 547, 3049, 593, 519, 7031, 540, 519, 8227, 269, 5047, 267, 621, 2636, 519, 3959, 8227, 547, 5693, 1450, 15095, 3096, 540, 519, 3959, 543, 547, 17246, 573, 1866, 693, 741, 786, 269, 1280, 1383, 267, 513, 3959, 8227, 666, 11884, 1450, 19482, 593, 741, 3959, 1247, 1869, 4509, 519, 2702, 547, 1832, 856, 6472, 563, 763, 2856, 602, 513, 3959, 8227, 1590, 2022, 513, 1129, 6031, 834, 7224, 512, 4046, 23035, 257, 547, 17997, 741, 2702, 547, 1832, 856, 512, 4046, 817, 619, 568, 513, 7242, 269, 4014, 519, 1876, 9775, 689, 1747, 547, 1747, 267, 519, 4170, 585, 16287, 513, 4062, 540, 3959, 607, 4357, 616, 1419, 1360, 1970, 269, 15394, 16245, 532, 513, 20545, 568, 811, 982, 6190, 267, 855, 538, 930, 4025, 8806, 11093, 6505, 12508, 693, 519, 15943, 540, 519, 3959, 568, 2556, 1141, 535, 9760, 1131, 581, 1932, 7199, 610, 791, 24411, 563, 7212, 513, 3959, 8227, 568, 1863, 547, 5150, 741, 3959, 689, 512, 4046, 817, 619, 267, 972, 568, 513, 3970, 547, 519, 13080, 602, 513, 1268, 949, 946, 547, 798, 865, 269, 1452, 7182, 849, 4268, 689, 1747, 547, 1747, 269, 769, 1082, 22875, 267, 519, 8227, 610, 741, 1876, 995, 8665, 630, 320, 1416, 339, 6033, 610, 3354, 9856, 585, 1383, 1070, 949, 1045, 5803, 1346, 2924, 8806, 676, 6998, 513, 512, 4046, 817, 518, 547, 7477, 622, 519, 3959, 269, 1403, 519, 512, 4046, 817, 518, 31439, 547, 798, 865, 267, 519, 8227, 568, 1369, 741, 2924, 547, 946, 10257, 3196, 547, 1163, 601, 519, 512, 4046, 817, 518, 267, 610, 949, 581, 4847, 547, 1289, 1876, 11268, 8387, 547, 4894, 519, 512, 4046, 817, 518, 269, 1717, 267, 513, 3959, 8227, 949, 711, 2482, 513, 15972, 1996, 512, 4046, 817, 619, 267, 543, 949, 711, 21279, 543, 946, 14686, 3196, 630, 328, 4318, 269, 834, 718, 512, 4046, 817, 619, 786, 581, 8929, 8442, 547, 2149, 741, 3959, 2924, 563, 8450, 849, 1520, 2091, 15896 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4282, 780, 9616, 519, 3239, 544, 3667, 675, 272, 26666, 568, 513, 3043, 1412, 298, 262, 593, 513, 12001, 4282, 267, 799, 454, 332, 1389, 621, 2182, 547, 1294, 563, 18257, 692, 5228, 737, 643, 344, 269, 1952, 1104, 2561, 454, 5228, 737, 643, 344, 269, 340, 1460, 269, 13548, 1104, 12005, 454, 5228, 737, 643, 344, 269, 340, 1460, 7456, 8475, 1104, 22443, 454, 5228, 737, 643, 344, 269, 27393, 2906, 1104, 8629, 19187, 1399, 267, 5903, 19187, 1399, 454, 5228, 737, 643, 344, 7456, 836, 1104, 12706, 518, 692, 330, 341, 815, 23288, 283, 299, 8475, 4002, 25889, 285, 912, 825, 17198, 12500, 4078, 912, 1038, 7822, 912, 2018, 678, 326, 321, 281, 1582, 269, 3724, 3033, 454, 1038, 25351, 4120, 912, 2018, 1064, 281, 1582, 269, 1842, 454, 2018, 2450, 281, 1582, 25915, 692, 293, 5979, 520, 299, 599, 719, 912, 825, 17198, 12500, 4078, 912, 1038, 7822, 912, 2018, 678, 326, 321, 281, 476, 272, 267, 476, 272, 267, 476, 272, 454, 1038, 25351, 4120, 912, 2018, 1064, 281, 1582, 269, 1842, 454, 2018, 2450, 281, 1582, 25915, 454, 2018, 9403, 281, 813, 269, 3667, 675, 692, 825, 22443, 4002, 25889, 912, 1038, 1257, 281, 1412, 24001, 630, 339, 787, 547, 759, 1125, 519, 6885, 264, 8339, 8971, 20172, 25915, 994, 1038, 2681, 281, 630, 271, 269, 275, 267, 476, 272, 267, 476, 272, 267, 476, 272, 994, 1038, 4282, 281, 30285, 274, 267, 1547, 274, 267, 1547, 274, 994, 1038, 1064, 20189, 842, 281, 27835, 22487, 13448, 9166, 1547, 276, 267, 1412, 22487, 14729, 9166, 1547, 276, 7684, 454, 1038, 2450, 20189, 842, 281, 7183, 267, 7183, 454, 1038, 4463, 281, 476, 1789, 454, 1038, 8700, 281, 476, 7742, 692, 18257, 7531, 5035, 22443, 4002, 25889, 27331, 8475, 2187, 825, 4282, 815, 5903, 19187, 1399, 9230, 271, 269, 273, 267, 476, 271, 269, 273, 267, 476, 271, 269, 273, 264, 9239, 5035, 19244, 17806, 675, 263, 7343, 17107, 825, 9403, 815, 8629, 19187, 1399, 10797, 825, 1219, 1628, 4311, 2187, 1038, 1582, 269, 3667, 675, 815, 12005, 4433, 1830, 8782, 332, 3667, 675, 272, 26666, 262, 1040, 3667, 675, 454, 1038, 1582, 269, 3667, 675, 9884, 1905, 815, 1412, 516, 701, 520, 7055, 1038, 1582, 269, 3667, 675, 269, 12320, 21653, 815, 630, 279, 267, 476, 279, 994, 1038, 2132, 12706, 518, 269, 2903, 23952, 17347, 341, 9239, 3725, 701, 520, 17806, 675, 14061, 14725, 4590, 0, 18257, 299, 8475, 454, 4499, 284, 692, 907, 3239, 15311, 2592, 15828, 8475, 26666, 454, 825, 2433, 7955, 281, 1318, 692, 763, 2433, 5035, 281, 319, 299, 8475, 319, 11097, 1326, 568, 585, 17021, 1257, 281, 1384, 825, 1948, 32597, 1158, 1257, 454, 825, 561, 815, 22443, 29495, 8782, 15916, 1158, 17210, 825, 1948, 27033, 1712, 1257, 282, 666, 1152, 4159, 9848, 874, 338, 602, 616, 2139, 538, 519, 13944, 454, 825, 561, 815, 22443, 29495, 8782, 15916, 1158, 1412, 1341, 669, 337, 263, 28510, 275, 11723, 825, 1948, 1617, 559, 710, 1257, 454, 825, 561, 815, 22443, 29495, 8782, 25648, 11138, 333, 18118, 17210, 825, 1948, 2450, 454, 825, 561, 815, 22443, 29495, 8782, 15916, 1158, 3299, 13944, 15481, 8782, 736, 4944, 17210, 907, 9041, 330, 643, 344, 268, 340, 1460, 2000, 8475, 1606, 1944, 7146, 17856, 9762, 550, 1384, 306, 1944, 543, 1257, 1543, 454, 10900, 14945, 3528, 9949, 267, 519, 2450, 540, 2433, 5035, 281, 319, 299, 8475, 319, 568, 711, 4299, 676, 2433, 3430, 337, 281, 319, 349, 299, 8475, 269, 3667, 319, 454, 20880, 543, 519, 1257, 568, 711, 4299, 676, 519, 2450, 269, 769, 1931, 547, 1852, 454, 338, 1944, 267, 596, 1590, 14574, 2433, 3430, 337, 281, 319, 349, 299, 8475, 269, 3667, 15481, 319, 547, 1526, 1778, 519, 1257, 454, 663, 5924, 12622, 2433, 3430, 337, 281, 319, 349, 299, 8475, 25915, 319, 547, 2433, 3430, 337, 281, 319, 349, 299, 8475, 269, 3667, 675, 15481, 319, 547, 1332, 609, 454, 1492, 1257, 780, 2690, 1383, 267, 713, 6003, 781, 2450, 786, 581, 1305, 547, 519, 1257, 1543, 454, 263, 15200, 2433, 3430, 337, 281, 319, 349, 299, 8475, 4877, 32061, 319, 17107, 907, 3009, 1532, 6674, 15311, 737, 341, 692, 825, 22443, 912, 1038, 2450, 281, 1582, 269, 3667, 675, 15481, 692, 1607, 6003, 781, 1257, 786, 16833, 693, 519, 9138, 8700, 543, 581, 804, 5792, 547, 519, 454, 19417, 1384, 907, 3009, 1532, 6674, 15311, 737, 341, 692, 825, 22443, 912, 1038, 1257, 15481, 281, 4699, 263, 277, 1070, 4699, 263, 275, 2020, 907, 4063, 15311, 634, 2433, 3430, 337, 281, 319, 349, 299, 8475, 11075, 677, 523, 319, 543, 2433, 3430, 337, 281, 319, 349, 299, 8475, 27982, 318, 6050, 319, 10305, 454, 1852, 875, 24492, 532, 1257, 31136, 780, 23382, 710, 891, 2035, 547, 1711, 513, 22443, 602, 666, 1332, 19794, 855, 12109, 1186, 519, 454, 3667, 693, 513, 1978, 8700, 1384, 907, 3009, 1532, 6674, 15311, 737, 341, 692, 825, 22443, 912, 1038, 1257, 15481, 281, 3597, 9884, 5954, 267, 7183, 454, 1038, 2450, 281, 1582, 269, 3667, 675, 15481, 692, 1692, 547, 723, 513, 2688, 4282, 2681, 538, 519, 6003, 1384, 907, 3009, 1532, 6674, 15311, 737, 341, 692, 825, 1948, 16294, 707, 4282, 2681, 22276, 454, 825, 2999, 25889, 21760, 287, 310, 573, 1326, 11417, 1038, 4282, 318, 10233, 281, 476, 272, 267, 476, 272, 267, 476, 272, 267, 476, 272, 454, 1038, 17198, 12500, 4078, 912, 2018, 7822, 912, 3546, 678, 326, 9346, 281, 3597, 269, 3724, 3033, 318, 10233, 454, 2018, 25351, 4120, 912, 3546, 2450, 281, 1582, 25915, 454, 3546, 1064, 281, 1582, 269, 1842, 454, 825, 1948, 3767, 596, 666, 3274, 17186, 519, 2387, 25889, 21760, 319, 1362, 609, 3592, 454, 825, 1948, 1022, 824, 11097, 1326, 1862, 547, 2285, 621, 513, 4282, 563, 825, 2999, 25889, 299, 8475, 287, 299, 8475, 266, 25889, 21760, 11417, 1038, 4282, 318, 10233, 281, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 454, 1038, 1948, 4347, 5435, 519, 4282, 2681, 585, 713, 6003, 454, 1038, 1948, 547, 678, 476, 271, 267, 575, 476, 271, 267, 536, 476, 271, 267, 513, 476, 271, 454, 825, 1948, 2422, 519, 17461, 299, 8475, 1022, 1141, 538, 707, 737, 341, 3009, 899, 2630, 454, 825, 17461, 299, 8475, 454, 1038, 1257, 281, 1412, 15916, 7055, 1038, 4282, 318, 10233, 281, 476, 272, 267, 476, 271, 267, 476, 271, 267, 476, 272, 692, 17806, 12972, 543, 28277, 454, 10900, 14945, 763, 2433, 5035, 281, 319, 299, 8475, 319, 814, 2433, 3430, 337, 281, 319, 349, 299, 8475, 19544, 7955, 319, 543, 2433, 3430, 337, 281, 319, 349, 299, 8475, 22183, 793, 319, 454, 27393, 2906, 547, 1852, 519, 12972, 540, 922, 1257, 269, 1717, 267, 676, 9949, 519, 1257, 454, 13548, 630, 281, 3430, 337, 281, 319, 349, 299, 8475, 269, 3667, 675, 319, 264, 568, 1152, 1175, 1804, 2614, 547, 2270, 519, 454, 10420, 3030, 543, 568, 17479, 538, 519, 4099, 540, 519, 22443, 269, 634, 1130, 793, 3959, 454, 15884, 723, 1100, 1198, 543, 554, 7955, 786, 1152, 723, 606, 1198, 952, 707, 1257, 814, 454, 2908, 6050, 282, 513, 2582, 1899, 540, 1257, 786, 2408, 547, 581, 10704, 1256, 1498, 554, 7955, 454, 529, 1305, 547, 2451, 630, 2421, 9949, 6393, 1103, 1931, 585, 519, 12972, 3601, 547, 1491, 1198, 267, 1305, 519, 454, 281, 3430, 337, 281, 319, 349, 299, 8475, 269, 3667, 15481, 12452, 799, 23403, 519, 2450, 540, 519, 3808, 532, 4216, 1369, 454, 6518, 1257, 568, 13988, 269, 1280, 3236, 267, 519, 1739, 3009, 25907, 713, 2450, 547, 519, 454, 21653, 540, 519, 22443, 267, 865, 1257, 786, 581, 13988, 1369, 519, 11097, 1326, 23451, 269, 901, 454, 15884, 849, 8850, 16833, 519, 1257, 540, 519, 22443, 547, 2611, 1369, 713, 1858, 780, 907, 3009, 1532, 6674, 15311, 737, 341, 692, 825, 22443, 912, 1038, 1257, 15481, 281, 1582, 25915, 454, 1038, 554, 7955, 281, 1412, 2431, 7055, 1038, 1130, 793, 281, 1412, 332, 1497, 28847, 15812, 1575, 1257, 454, 1366, 14945, 907, 4528, 611, 4765, 15311, 476, 272, 269, 272, 269, 271, 692, 2791, 666, 1689, 519, 2511, 540, 519, 1257, 1210, 2433, 25269, 281, 319, 777, 328, 10275, 643, 344, 6983, 648, 269, 3667, 269, 5658, 1575, 319, 563, 763, 16105, 568, 2147, 547, 519, 536, 321, 13892, 16105, 855, 1152, 519, 538, 1467, 18908, 1782, 568, 454, 9994, 539, 281, 1384, 825, 1948, 32597, 1158, 609, 1158, 538, 12050, 454, 825, 561, 815, 22443, 29495, 8782, 15916, 1496, 321, 316, 13328, 22535, 321, 316, 3299, 1665, 1575, 18989, 2020, 825, 1948, 32597, 538, 2699, 267, 1158, 538, 4544, 454, 825, 561, 815, 22443, 29495, 8782, 314, 10233, 284, 742, 18357, 274, 316, 15916, 22535, 10233, 6012, 10233, 284, 18357, 274, 742, 316, 13328, 22535, 10233, 316, 22779, 1038, 1665, 1575, 815, 6936, 2020, 2252, 596, 991, 547, 9101, 519, 1665, 1575, 689, 519, 1699, 1257, 267, 946, 454, 281, 325, 15635, 281, 319, 330, 643, 344, 269, 583, 2812, 269, 525, 3874, 318, 5658, 1575, 29699, 1384, 825, 1257, 815, 1412, 1607, 568, 606, 1271, 5048, 1496, 272, 316, 7055, 825, 561, 815, 22443, 29495, 8782, 314, 321, 316, 262, 1341, 9101, 318, 5658, 1575, 29495, 264, 1341, 1412, 22535, 321, 316, 3299, 1665, 1575, 18989, 2020, 763, 1739, 16776, 616, 2139, 1384, 1730, 314, 321, 6012, 270, 321, 316, 1730, 454, 825, 2920, 10675, 12050, 1257, 454, 1730, 314, 328, 6012, 270, 328, 316, 1730, 454, 825, 2920, 10675, 24495, 545, 1257, 454, 1730, 314, 340, 6012, 270, 340, 316, 1730, 454, 825, 7201, 20040, 1257, 454, 1730, 314, 338, 6012, 270, 338, 316, 1730, 454, 825, 853, 20891, 996, 893, 1257, 454, 1730, 314, 325, 2632, 284, 283, 1598, 285, 6012, 270, 325, 2632, 316, 1730, 454, 825, 7827, 519, 13944, 630, 16694, 281, 713, 4016, 547, 513, 570, 307, 293, 3758, 610, 10805, 620, 5362, 994, 1730, 314, 325, 2632, 318, 935, 3667, 284, 283, 1598, 285, 6012, 270, 325, 2632, 318, 935, 3667, 316, 1730, 454, 825, 7827, 2796, 585, 519, 13944, 267, 946, 5569, 1871, 834, 333, 821, 257, 585, 9678, 2796, 454, 825, 630, 10472, 568, 6697, 547, 2387, 14085, 319, 282, 952, 596, 2813, 513, 13944, 2796, 3957, 454, 825, 2387, 262, 333, 821, 262, 12452, 621, 3112, 581, 5219, 547, 1210, 1665, 1575, 994, 1730, 314, 325, 2632, 6958, 13637, 284, 283, 1598, 285, 6012, 270, 325, 2632, 6958, 13637, 316, 1730, 454, 825, 674, 2632, 1920, 547, 7662, 585, 5373, 269, 901, 568, 1152, 4570, 950, 1210, 513, 454, 825, 13944, 2796, 267, 1294, 2433, 5035, 281, 319, 330, 643, 344, 269, 340, 1460, 7456, 8475, 11482, 8475, 319, 585, 3877, 563, 1730, 314, 325, 2632, 6958, 324, 2137, 284, 283, 1598, 285, 6012, 270, 325, 2632, 6958, 324, 2137, 316, 1730, 454, 825, 7046, 13911, 13944, 2934, 267, 538, 22898, 3898, 267, 713, 568, 5293, 2786, 454, 825, 998, 547, 623, 24546, 269, 634, 2360, 540, 31392, 513, 4183, 5673, 593, 16041, 454, 825, 23935, 267, 5399, 8747, 267, 3092, 269, 623, 24546, 1152, 267, 3340, 642, 272, 269, 4343, 610, 2663, 563, 1730, 314, 21653, 284, 283, 15759, 518, 285, 6012, 270, 21653, 316, 1730, 454, 825, 7827, 519, 13944, 2450, 454, 1730, 314, 10233, 284, 258, 283, 10233, 285, 6012, 270, 10233, 316, 1730, 454, 825, 7827, 519, 1257, 2681, 454, 1730, 314, 10915, 284, 283, 1598, 285, 6012, 270, 10915, 316, 1730, 454, 825, 5410, 606, 7317, 7997, 269, 634, 4704, 1341, 3808, 532, 4216, 3330, 519, 454, 825, 4704, 786, 581, 2139, 538, 2433, 3430, 337, 281, 319, 299, 8475, 269, 10915, 338, 319, 454, 1730, 314, 21123, 528, 284, 283, 1598, 285, 316, 1730, 454, 825, 10925, 606, 19671, 538, 519, 1257, 269, 1411, 666, 1205, 519, 2990, 540, 707, 19671, 1369, 454, 825, 519, 1257, 609, 2433, 3430, 337, 281, 319, 299, 8475, 269, 21123, 832, 319, 454, 1730, 314, 11357, 6012, 270, 11357, 316, 1730, 454, 825, 18224, 519, 1257, 693, 513, 31941, 2990, 3448, 547, 519, 1257, 1354, 621, 563, 1730, 314, 338, 1575, 6012, 270, 338, 1575, 316, 1730, 454, 825, 18224, 519, 1257, 693, 513, 25436, 5296, 2990, 3448, 547, 519, 1257, 1354, 621, 563, 1730, 314, 3667, 9078, 4833, 284, 283, 1598, 285, 6012, 270, 3667, 9078, 4833, 316, 1730, 454, 825, 5678, 540, 519, 1257, 267, 713, 568, 606, 681 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 300, 529, 7666, 3660, 20740, 570, 2281, 949, 581, 519, 7508, 3095, 538, 13455, 5160, 3441, 538, 519, 12058, 543, 838, 1149, 540, 1004, 609, 2789, 26379, 267, 4681, 689, 519, 2160, 540, 6115, 7866, 269, 7261, 1729, 13877, 570, 2281, 267, 849, 1634, 607, 7131, 279, 266, 570, 2281, 267, 616, 3043, 1973, 2281, 602, 7363, 616, 538, 519, 1560, 781, 19070, 531, 547, 4339, 2068, 563, 21296, 26379, 568, 6353, 676, 28332, 15087, 602, 3441, 519, 13471, 4478, 8229, 11103, 543, 6861, 519, 4949, 976, 267, 5122, 20949, 26423, 602, 1413, 899, 1279, 267, 4839, 4221, 20327, 269, 18748, 539, 13285, 3111, 547, 10141, 6786, 3927, 563, 4504, 3419, 5224, 569, 267, 519, 772, 310, 1353, 267, 3370, 713, 3018, 538, 7186, 16332, 1108, 267, 849, 12651, 519, 7872, 602, 3765, 323, 20526, 20740, 570, 2281, 1522, 693, 824, 2053, 957, 2149, 1947, 543, 711, 1039, 547, 27295, 5250, 269, 5502, 789, 1522, 1427, 531, 5573, 1996, 519, 2281, 602, 6836, 547, 1118, 873, 12161, 519, 12109, 25940, 1472, 8229, 30804, 607, 5906, 563, 14722, 29305, 344, 784, 808, 328, 543, 12359, 320, 10011, 22088, 5340, 519, 1382, 609, 29315, 717, 1478, 2006, 267, 772, 310, 7548, 543, 11381, 540, 6375, 1108, 269, 717, 1478, 2006, 568, 7074, 585, 1200, 960, 593, 519, 2281, 3238, 538, 16991, 4713, 540, 519, 3844, 8401, 1062, 543, 593, 8047, 3631, 540, 2789, 26379, 563, 21296, 26379, 3622, 1101, 5526, 1063, 6502, 476, 736, 547, 476, 2412, 269, 898, 568, 5156, 547, 6565, 689, 13313, 540, 519, 1560, 781, 3339, 8878, 1996, 13596, 267, 865, 602, 621, 1631, 6285, 3294, 269, 1280, 4128, 711, 2943, 1634, 267, 519, 4761, 1062, 267, 799, 530, 1841, 1055, 2860, 543, 3968, 267, 568, 1008, 12097, 547, 642, 663, 531, 1125, 519, 24869, 514, 1352, 987, 1472, 8229, 2281, 269, 634, 24869, 514, 1352, 987, 20998, 519, 15098, 593, 606, 5122, 5911, 269, 1879, 621, 535, 7590, 267, 8229, 25372, 616, 15176, 563, 27039, 593, 799, 13285, 616, 2800, 539, 267, 5075, 2042, 267, 606, 17418, 547, 3802, 267, 610, 824, 27676, 2589, 949, 8451, 269, 6884, 519, 15087, 12115, 13148, 610, 17303, 267, 3056, 547, 513, 1294, 1606, 1177, 540, 1121, 3827, 543, 27506, 22705, 269, 769, 824, 2665, 267, 8229, 3441, 568, 796, 7758, 550, 532, 563, 763, 24869, 514, 1352, 23411, 593, 8229, 1591, 20327, 616, 6752, 539, 676, 1489, 2281, 1572, 23731, 30705, 24945, 5052, 269, 1715, 9799, 781, 12058, 2270, 1175, 513, 1906, 6810, 609, 24869, 3990, 8229, 2281, 269, 1323, 2937, 781, 12058, 2281, 616, 711, 4628, 24869, 3990, 2394, 2085, 476, 1839, 547, 476, 1789, 563, 2690, 570, 2281, 547, 5431, 5946, 689, 513, 19800, 267, 513, 24869, 514, 1352, 987, 610, 1022, 2707, 267, 824, 2281, 1590, 2736, 519, 5551, 5946, 883, 1507, 4773, 267, 1572, 30902, 267, 543, 1287, 1459, 519, 30902, 538, 513, 1808, 7636, 10189, 547, 519, 570, 2281, 563, 14722, 1185, 5892, 5462, 799, 2281, 1459, 4773, 540, 513, 24869, 514, 3940, 547, 513, 1826, 540, 570, 1591, 3238, 538, 519, 21454, 540, 2789, 26379, 1572, 513, 7131, 275, 266, 570, 1591, 269, 6969, 519, 1699, 1353, 267, 1100, 2281, 1185, 2943, 1044, 1336, 602, 1459, 24869, 514, 3940, 547, 7131, 279, 266, 570, 2281, 563, 14722, 9244, 14353, 602, 7131, 279, 266, 570, 2281, 267, 4171, 2816, 568, 547, 6146, 824, 2281, 267, 1404, 606, 1271, 1909, 538, 519, 24869, 514, 1673, 600, 720, 540, 2789, 26379, 269, 769, 8097, 16991, 29363, 4345, 267, 799, 568, 606, 3662, 2203, 540, 2789, 26379, 538, 3425, 267, 7131, 275, 266, 570, 2281, 723, 513, 1713, 851, 538, 519, 12982, 3210, 269, 1717, 267, 3744, 4767, 602, 267, 538, 8650, 543, 5312, 2789, 26379, 15087, 267, 7131, 279, 266, 307, 2281, 2965, 856, 15893, 7131, 275, 266, 570, 2281, 543, 741, 2338, 30136, 609, 519, 6708, 540, 3441, 547, 8229, 1591, 20327, 269, 4033, 2090, 2303, 519, 6587, 281, 602, 7131, 279, 266, 307, 2281, 949, 3159, 1524, 519, 24869, 514, 4323, 563, 763, 18312, 7422, 11329, 547, 513, 20849, 1909, 585, 7131, 279, 1341, 570, 2281, 538, 12615, 908, 610, 993, 601, 1640, 908, 14501, 540, 2789, 26379, 269, 12846, 267, 875, 7131, 279, 266, 307, 2281, 2965, 8329, 547, 15725, 519, 16991, 3210, 538, 519, 3844, 8401, 1062, 267, 585, 1732, 610, 8338, 267, 729, 14605, 6956, 563, 294, 1478, 2006, 543, 1200, 2319, 4951, 585, 519, 1101, 942, 602, 14255, 633, 7131, 279, 266, 570, 2281, 941, 15181, 543, 5828, 883, 24869, 514, 29627, 1758, 1944, 2281, 676, 2027, 2281, 1572, 17785, 1673, 754, 26578, 2281, 269, 1452, 2281, 616, 6508, 689, 513, 1826, 540, 12982, 3043, 1973, 1591, 602, 7213, 12885, 538, 519, 2634, 543, 519, 11983, 10260, 1282, 8097, 16991, 29363, 4345, 8385, 25358, 676, 7131, 275, 266, 570, 2281, 269, 634, 9245, 26642, 543, 1486, 6350, 687, 540, 9921, 27765, 26578, 2281, 1419, 1413, 899, 4839, 3481, 17895, 8163, 610, 24140, 5529, 24968, 1134, 25252, 1243, 547, 2625, 532, 519, 10450, 563, 763, 3173, 6069, 602, 519, 17785, 27765, 26578, 2281, 666, 711, 1152, 1266, 5285, 24869, 514, 11935, 610, 4666, 23731, 30705, 24945, 5052, 543, 1287, 1459, 24869, 514, 30902, 547, 7131, 275, 1341, 570, 2281, 267, 789, 849, 723, 519, 8966, 2702, 547, 4452, 513, 24869, 514, 26733, 5196, 513, 1808, 1826, 540, 11140, 602, 849, 6799, 621, 547, 7131, 279, 266, 570, 2281, 269, 769, 713, 1259, 267, 519, 17785, 27765, 26578, 2281, 666, 3262, 519, 4761, 3210, 689, 7131, 275, 266, 570, 2281, 547, 7131, 279, 266, 570, 2281, 269, 901, 6881, 6087, 7131, 279, 266, 570, 2281, 547, 5431, 24869, 514, 3940, 12415, 689, 23731, 30705, 24945, 5052, 267, 519, 2281, 602, 1106, 519, 24869, 514, 1352, 987, 269, 634, 7613, 20964, 513, 2034, 2914, 1511, 540, 16991, 2746, 2032, 538, 799, 519, 7131, 279, 266, 570, 2281, 4431, 547, 519, 4527, 540, 23731, 30705, 24945, 5052, 676, 24590, 873, 1930, 543, 838, 3739, 741, 9115, 563, 257, 5978, 4681, 616, 5812, 2437, 519, 3173, 1767, 267, 834, 5976, 519, 2565, 1909, 540, 27765, 26578, 2281, 538, 5009, 6553, 538, 16991, 3676, 540, 519, 3844, 8401, 1062, 1701, 1358, 5018, 602, 9921, 27765, 26578, 2281, 1522, 7654, 7227, 538, 519, 1973, 8043, 540, 3339, 2634, 5160, 547, 19334, 570, 16052, 338, 602, 723, 22467, 3603, 519, 1973, 11486, 1778, 11064, 563, 763, 23731, 30705, 24945, 5052, 267, 896, 519, 12982, 3510, 540, 8097, 16991, 29363, 4345, 267, 849, 1459, 30902, 602, 29360, 606, 4761, 3210, 689, 7131, 279, 266, 307, 2281, 269, 7201, 2635, 2175, 267, 23731, 30705, 24945, 5052, 9327, 1405, 798, 713, 563, 763, 3173, 6069, 602, 24869, 514, 10391, 7131, 279, 266, 307, 2281, 1522, 1404, 513, 1909, 538, 519, 5571, 9552, 540, 8229, 16052, 30804, 538, 834, 338, 869, 8781, 257, 2789, 26379, 15087, 269, 589, 6749, 538, 6553, 10483, 676, 606, 2799, 23979, 540, 4949, 976, 630, 19491, 3740, 20949, 8410, 2265, 532, 3889, 264, 14626, 1938, 609, 2789, 26379, 6028, 519, 882, 2355, 532, 3146, 2466, 1154, 3942, 540, 2068, 543, 10024, 513, 811, 11636, 1533, 563, 21357, 3744, 616, 4974, 519, 5107, 540, 513, 3099, 540, 4761, 2281, 538, 2789, 26379, 538, 519, 13922, 540, 12423, 11444, 602, 1223, 581, 9354, 9072, 547, 2061, 610, 1852, 519, 2068, 267, 610, 547, 1265, 2081, 547, 10244, 519, 1560, 781, 1378, 8825, 6127, 269, 901, 1223, 1291, 547, 3810, 1808, 5574, 602, 1522, 2057, 519, 18473, 610, 5906, 2427, 2360, 540, 20902, 6375, 657, 6269, 816, 1218, 899, 29416, 8803, 6950, 610, 8715, 582, 516, 343, 622, 563, 763, 1353, 729, 7616, 676, 14828, 3642, 5881, 273, 278, 4391, 543, 3642, 5881, 274, 278, 4366, 689, 519, 2817, 23941, 540, 2657, 269, 634, 4589, 10294, 1100, 12721, 2883, 4690, 563, 8867, 10042, 22630, 1923, 31823, 2336, 10702, 5359, 827, 281, 3436, 7131, 275, 266, 3436, 7131, 279, 266, 3436, 7131, 279, 266, 307, 3436, 7186, 16332, 1108, 3436, 570, 2281, 3436, 16991, 2068, 3436, 16991, 29363, 4345, 3436, 1973, 1591, 3436, 1973, 6077, 3436, 3844, 8401, 1062, 3436, 27765, 26578, 2281, 3436, 5122, 20949, 3436, 4761, 1591, 3436, 4761, 3210, 3436, 20740, 570, 2281, 3436, 2789, 26379, 3436, 8229, 1591, 3436, 8401, 1062, 3436, 3043, 1973, 1591, 454, 2537, 269, 6734, 269, 1001, 278, 1923, 3353, 27528, 10713, 28059, 28228, 333, 7770, 454, 1692, 27514, 14774, 5563, 949, 1860, 4719, 2188, 538, 20150, 8552, 4524, 454, 2420, 269, 6734, 269, 1001, 278, 1923, 2160, 540, 4993, 910, 5842, 17630, 454, 22349, 1258, 12002, 689, 12844, 333, 543, 570, 2246, 29118, 538, 774, 1005, 807, 630, 30051, 264, 1031, 519, 476, 1911, 2173, 5925, 16263, 693, 20306, 1564, 6199, 547, 7747, 1896, 14925, 13421, 269, 2311, 519, 8728, 540, 891, 1804, 7213, 2827, 540, 4158, 2339, 267, 24974, 1949, 630, 6549, 1314, 625, 1070, 3905, 3154, 267, 543, 9901, 5536, 267, 789, 1336, 6419, 4610, 602, 616, 24215, 10288, 936, 9883, 540, 1082, 2929, 1769, 1296, 269, 901, 2306, 873, 519, 1034, 6905, 6419, 4610, 538, 519, 7122, 1634, 865, 2484, 563, 763, 2164, 786, 581, 3370, 593, 4728, 476, 2420, 538, 519, 4760, 29770, 22349, 25348, 1299, 8330, 5268, 12695, 2108, 563, 29727, 25404, 13421, 616, 519, 4102, 28040, 2787, 958, 3808, 3889, 538, 519, 7122, 269, 2060, 513, 6093, 6708, 540, 827, 476, 1015, 2929, 1769, 1296, 267, 1775, 4318, 269, 476, 1911, 2053, 519, 2483, 12867, 693, 519, 3619, 9220, 2160, 7671, 31060, 267, 1927, 609, 4891, 689, 519, 2160, 540, 570, 6686, 6883, 523, 538, 5125, 543, 10348, 6307, 2160, 607, 1134, 607, 14731, 595, 4459, 4659, 689, 5507, 630, 20084, 264, 723, 2919, 513, 3209, 2029, 547, 21264, 519, 5728, 21866, 514, 3009, 563, 308, 321, 19891, 514, 568, 513, 1507, 3940, 602, 666, 581, 5532, 547, 824, 10408, 5946, 267, 7551, 9013, 543, 1110, 6819, 741, 3252, 269, 634, 13613, 4386, 538, 1082, 2483, 1103, 519, 18163, 3406, 585, 1985, 5108, 1164, 3887, 11797, 3859, 2281, 543, 27178, 267, 3744, 693, 11968, 1325, 32115, 2817, 12524, 543, 741, 4891, 616, 2870, 2483, 22068, 6625, 23282, 19298, 616, 6094, 267, 1079, 8820, 6106, 609, 11108, 1904, 29741, 3055, 3601, 1360, 2147, 547, 1346, 540, 22130, 269, 1325, 18464, 267, 519, 23282, 19298, 616, 1447, 7123, 269, 3767, 3173, 693, 519, 14502, 2160, 540, 22540, 630, 307, 9331, 264, 723, 267, 585, 519, 1101, 942, 2479, 267, 3812, 513, 12432, 1570, 9256, 13339, 23282, 19298, 543, 513, 12249, 602, 568, 1312, 11158, 15033, 543, 2653, 547, 1184, 269, 901, 6770, 519, 3744, 513, 1713, 1900, 6251, 547, 4853, 3156, 899, 8465, 10525, 543, 6337, 839, 832, 563, 22068, 6625, 23282, 19298, 616, 6094, 267, 1079, 8820, 6106, 609, 11108, 1904, 29741, 3055, 3601, 1360, 2147, 547, 1346, 540, 22130, 269, 1325, 18464, 267, 519, 23282, 19298, 616, 2483, 5319, 10192, 13789, 8335, 538, 513, 1449, 8546, 3379, 609, 519, 7636, 32727, 540, 513, 2713, 1591, 269, 6314, 1235, 689, 519, 2160, 540, 30239, 723, 1631, 1044, 2111, 547, 18082, 891, 16876, 2067, 2175, 538, 5841, 5738, 2873, 585, 519, 1101, 942, 269, 1306, 4080, 538, 519, 4081, 4760, 9540, 267, 519, 2164, 616, 5356, 1732, 5813, 883, 519, 1646, 540, 6289, 648, 716, 832, 543, 5841, 31759, 563, 5319, 10192, 13789, 8335, 538, 513, 1449, 8546, 3379, 609, 519, 7636, 32727, 540, 513, 2713, 1591, 269, 6314, 1235, 689, 519, 2160, 540, 30239, 723, 1631, 1044, 2111, 547, 2483, 736, 269, 6734, 269, 1001, 278, 1923, 7926, 5240, 454, 1691, 269, 6734, 269, 1001, 278, 1923, 7926, 5240, 454, 5881, 269, 6734, 269, 1001, 278, 1923, 7926, 5240, 454, 2537, 269, 6734, 269, 1001, 278, 1923, 5020, 7070, 454, 2537, 269, 6734, 269, 1001, 278, 1923, 5295, 543, 15379, 7177, 454, 2537, 269, 6734, 269, 1001, 278, 1923, 3047, 7070, 0, 763, 1101, 568, 10707, 5488, 982, 476, 9873, 271, 5195, 829, 2034, 282, 519, 2034, 811, 982, 476, 8099, 271, 5195, 829, 2034, 269, 8331, 781, 3631, 3589, 602, 519, 595, 10933, 338, 786, 1764, 1312, 3047, 543, 9370, 267, 607, 1134, 607, 1780, 676, 1896, 8331, 14361, 1107, 11619, 10152, 267, 1975, 12688, 267, 543, 5254, 16730, 302, 5174, 563, 763, 3631, 849, 3589, 602, 519, 3056, 6316, 540, 519, 1101, 595, 10933, 786, 3914, 3047, 693, 827, 476, 272, 281, 1839, 7537, 29643, 593, 519, 6640, 540, 4728, 476, 279, 630 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 476, 272, 476, 273, 476, 275, 454, 332, 1341, 562, 273, 815, 476, 271, 630, 307, 1068, 684, 329, 4157, 270, 4537, 1144, 264, 476, 273, 269, 274, 630, 321, 264, 630, 328, 264, 1535, 284, 273, 454, 272, 630, 320, 264, 962, 320, 270, 8133, 630, 4512, 264, 562, 559, 2967, 5934, 13045, 289, 629, 476, 273, 630, 321, 264, 645, 4157, 534, 270, 5591, 5934, 1871, 281, 1107, 276, 454, 6262, 264, 962, 320, 270, 8133, 630, 13839, 264, 5707, 1731, 5934, 13045, 273, 269, 272, 454, 5560, 264, 645, 4157, 534, 270, 5591, 5934, 1448, 281, 630, 273, 267, 1107, 276, 994, 272, 454, 272, 630, 320, 6661, 343, 815, 282, 343, 476, 272, 476, 273, 630, 320, 264, 630, 322, 264, 630, 328, 264, 1535, 815, 1107, 272, 454, 274, 630, 4512, 264, 562, 559, 2967, 544, 6545, 3065, 13045, 275, 476, 272, 454, 6357, 264, 1535, 815, 6567, 6902, 343, 815, 5021, 1871, 281, 1107, 277, 454, 274, 476, 273, 630, 321, 994, 31702, 264, 5707, 1731, 544, 6545, 3065, 13045, 273, 630, 320, 264, 1535, 815, 476, 272, 269, 276, 6078, 282, 1535, 815, 1107, 275, 269, 276, 6078, 5021, 1448, 281, 630, 1700, 272, 267, 1107, 277, 994, 6357, 264, 1535, 815, 476, 274, 269, 18597, 282, 1535, 815, 476, 271, 269, 278, 4037, 274, 476, 276, 630, 320, 264, 5707, 1731, 5934, 815, 630, 1700, 272, 267, 476, 275, 994, 6262, 994, 6262, 264, 1535, 815, 476, 273, 269, 276, 2537, 282, 1535, 815, 1107, 272, 269, 6245, 5934, 1448, 815, 630, 1700, 272, 267, 476, 275, 994, 274, 630, 320, 264, 1535, 815, 476, 272, 269, 6924, 277, 282, 1535, 815, 1107, 272, 269, 5908, 630, 321, 264, 5707, 1731, 544, 6545, 3065, 815, 630, 273, 267, 476, 1724, 994, 6357, 264, 1535, 815, 476, 273, 269, 279, 2918, 282, 1535, 815, 1107, 271, 269, 279, 1839, 278, 476, 274, 630, 320, 264, 23621, 3385, 5309, 8619, 21583, 562, 344, 1092, 270, 5591, 454, 10946, 3065, 1448, 815, 630, 273, 267, 476, 1724, 994, 6262, 264, 1535, 815, 476, 271, 269, 278, 1015, 274, 282, 1535, 815, 1107, 272, 269, 279, 6507, 1483, 5072, 454, 275, 630, 320, 264, 1535, 273, 1341, 476, 274, 343, 1107, 476, 1015, 815, 476, 271, 22896, 360, 476, 274, 476, 276, 427, 352, 370, 454, 6262, 264, 5707, 1731, 5934, 815, 22896, 361, 2073, 22896, 371, 454, 6357, 264, 476, 274, 343, 273, 1341, 476, 278, 343, 1107, 476, 277, 815, 476, 271, 22896, 511, 476, 273, 476, 275, 427, 352, 372, 454, 6262, 264, 476, 1015, 343, 273, 1341, 1535, 1107, 476, 274, 815, 476, 271, 22896, 360, 476, 274, 476, 276, 427, 352, 370, 454, 2381, 3065, 1448, 815, 22896, 361, 2073, 22896, 371, 454, 276, 630, 320, 264, 1535, 273, 1341, 476, 1321, 343, 1341, 476, 1240, 815, 476, 271, 1535, 22896, 511, 476, 273, 476, 275, 427, 352, 372, 454, 6357, 264, 476, 279, 343, 273, 1107, 476, 1321, 343, 1341, 476, 274, 815, 476, 271, 631, 10440, 267, 1178, 325, 535, 3287, 264, 476, 658, 1695, 454, 6262, 264, 476, 274, 343, 273, 1107, 476, 1691, 343, 1341, 476, 274, 815, 476, 271, 2893, 340, 29236, 3954, 1146, 692, 293, 1690, 541, 306, 323, 333, 563, 306, 323, 333, 269, 13225, 323, 563, 289, 24863, 269, 630, 25484, 9032, 275, 6874, 994, 263, 25484, 9032, 275, 6874, 264, 476, 1001, 280, 454, 1001, 280, 808, 273, 9185, 538, 631, 622, 3901, 1731, 570, 3711, 25301, 918, 7704, 300, 570, 532, 330, 27979, 476, 275, 454, 263, 297, 1177, 3253, 994, 277, 630, 320, 264, 630, 322, 264, 1535, 815, 476, 273, 267, 586, 815, 1107, 272, 267, 1990, 815, 476, 272, 454, 279, 320, 454, 325, 3287, 264, 476, 272, 476, 277, 630, 320, 264, 476, 10037, 263, 2767, 332, 264, 630, 321, 994, 5560, 264, 1535, 815, 6567, 2073, 586, 815, 476, 274, 267, 1990, 815, 1107, 275, 476, 1839, 476, 273, 454, 273, 630, 322, 994, 274, 630, 320, 264, 670, 7776, 2701, 978, 815, 476, 2190, 267, 32318, 1695, 270, 476, 10219, 343, 454, 275, 454, 15289, 815, 476, 7906, 267, 3611, 4157, 270, 476, 278, 630, 320, 264, 476, 2190, 263, 276, 343, 264, 630, 321, 264, 1107, 274, 263, 273, 344, 994, 274, 22516, 815, 476, 10019, 630, 322, 264, 1107, 273, 263, 280, 321, 994, 273, 630, 321, 264, 1535, 815, 476, 2568, 267, 586, 815, 476, 6344, 267, 1990, 815, 476, 2004, 476, 275, 269, 273, 454, 272, 476, 274, 269, 273, 476, 272, 630, 320, 264, 476, 274, 476, 273, 630, 321, 264, 476, 276, 476, 273, 454, 343, 454, 272, 630, 320, 264, 1535, 815, 1107, 276, 282, 586, 815, 1107, 273, 15854, 270, 663, 630, 322, 264, 476, 278, 476, 274, 630, 323, 264, 476, 277, 476, 277, 454, 1700, 274, 1107, 273, 1107, 272, 476, 271, 476, 272, 476, 273, 1535, 815, 476, 273, 282, 586, 815, 476, 276, 630, 324, 264, 476, 277, 476, 1428, 454, 275, 476, 8660, 454, 23751, 6357, 264, 1535, 815, 6902, 344, 15854, 270, 663, 476, 273, 630, 320, 264, 476, 7761, 630, 321, 264, 476, 3393, 454, 866, 476, 866, 630, 322, 264, 476, 4572, 630, 323, 264, 476, 4366, 277, 454, 343, 815, 476, 275, 282, 586, 815, 1107, 272, 454, 16216, 264, 476, 1428, 454, 6357, 264, 630, 322, 264, 1535, 815, 476, 273, 282, 586, 815, 476, 274, 15854, 270, 663, 1535, 815, 1107, 272, 3248, 274, 630, 320, 264, 476, 273, 476, 274, 630, 321, 264, 476, 273, 476, 4649, 454, 325, 3287, 264, 586, 815, 1107, 274, 454, 274, 630, 322, 264, 476, 276, 476, 2641, 630, 323, 264, 476, 1428, 476, 277, 454, 5560, 264, 1535, 815, 6902, 344, 815, 6567, 272, 15854, 270, 663, 630, 324, 264, 476, 1321, 476, 1015, 454, 275, 454, 272, 476, 272, 476, 275, 630, 320, 264, 476, 275, 630, 321, 264, 476, 274, 454, 2420, 1535, 815, 6902, 344, 815, 6567, 476, 274, 454, 273, 476, 273, 630, 322, 264, 476, 274, 630, 323, 264, 476, 276, 476, 273, 454, 427, 352, 360, 476, 274, 22896, 370, 476, 276, 454, 273, 630, 320, 264, 737, 815, 1107, 272, 282, 22896, 361, 6567, 2073, 6567, 273, 427, 352, 371, 476, 274, 476, 278, 454, 427, 352, 511, 476, 273, 22896, 372, 630, 324, 994, 6357, 264, 476, 273, 544, 693, 879, 5924, 476, 1556, 544, 476, 1626, 454, 275, 454, 6262, 264, 1535, 815, 476, 1015, 282, 586, 815, 476, 2918, 476, 276, 630, 320, 264, 476, 276, 476, 276, 630, 321, 264, 476, 273, 476, 273, 454, 343, 454, 274, 630, 322, 264, 476, 273, 476, 273, 630, 323, 264, 476, 274, 476, 3374, 454, 303, 571, 19241, 529, 19999, 6545, 597, 534, 476, 274, 630, 324, 264, 476, 2537, 476, 277, 454, 278, 630, 320, 264, 737, 2999, 1107, 1015, 282, 737, 3436, 476, 273, 454, 6357, 264, 737, 815, 1107, 272, 267, 562, 559, 2967, 544, 6545, 3065, 476, 272, 1535, 815, 476, 272, 269, 271, 4649, 282, 586, 815, 476, 273, 269, 14917, 476, 277, 630, 320, 264, 1107, 1704, 630, 321, 264, 476, 279, 266, 275, 476, 274, 454, 658, 1695, 8276, 1314, 3065, 1871, 568, 1107, 272, 269, 1535, 815, 476, 271, 269, 30588, 282, 586, 815, 1107, 271, 269, 25616, 630, 322, 264, 476, 280, 6629, 277, 476, 273, 630, 323, 264, 476, 275, 266, 274, 476, 274, 454, 6262, 264, 544, 815, 1107, 279, 267, 562, 815, 476, 276, 476, 273, 1535, 815, 476, 272, 267, 586, 815, 1107, 272, 267, 1990, 815, 476, 273, 476, 274, 476, 273, 266, 273, 476, 277, 454, 274, 1535, 815, 1107, 274, 267, 586, 815, 476, 271, 267, 1990, 815, 476, 276, 476, 278, 630, 320, 264, 630, 321, 264, 476, 273, 6567, 272, 454, 274, 454, 303, 571, 19241, 529, 19999, 6545, 597, 534, 476, 273, 476, 275, 1535, 815, 476, 278, 267, 586, 815, 476, 280, 476, 278, 1341, 476, 273, 476, 1015, 454, 276, 476, 276, 544, 267, 476, 1724, 544, 267, 476, 1321, 544, 630, 322, 264, 476, 273, 1341, 272, 630, 323, 994, 272, 544, 2999, 1107, 275, 282, 544, 3436, 476, 275, 476, 274, 454, 736, 476, 279, 630, 320, 264, 1107, 275, 630, 321, 264, 476, 1015, 454, 273, 630, 320, 264, 2637, 3780, 22995, 2969, 630, 322, 264, 476, 277, 454, 280, 454, 6357, 264, 14668, 476, 658, 1695, 5309, 8619, 9126, 328, 270, 529, 519, 31167, 22462, 10859, 737, 517, 706, 19241, 528, 623, 267, 1627, 15854, 681, 476, 275, 269, 274, 454, 10174, 540, 1535, 273, 815, 476, 273, 343, 1341, 476, 274, 544, 2084, 2173, 2084, 476, 658, 1695, 476, 3607, 267, 476, 4366, 267, 476, 2568, 269, 476, 272, 454, 763, 1297, 540, 15373, 832, 540, 623, 267, 1627, 476, 272, 630, 320, 264, 2845, 476, 279, 476, 273, 21591, 10382, 476, 273, 815, 476, 273, 10382, 1341, 476, 274, 476, 274, 454, 263, 10382, 476, 273, 264, 273, 815, 630, 273, 10382, 1341, 476, 274, 264, 273, 543, 681, 616, 476, 3607, 267, 476, 4366, 267, 476, 2568, 6606, 269, 22896, 360, 476, 272, 22896, 370, 454, 6357, 264, 2845, 1015, 22896, 361, 815, 6567, 273, 454, 10382, 476, 275, 815, 476, 275, 10382, 476, 273, 1341, 476, 1321, 10382, 1341, 476, 280, 22896, 511, 476, 1911, 22896, 371, 427, 352, 372, 454, 10382, 476, 275, 815, 476, 275, 263, 273, 10382, 1341, 476, 274, 264, 1341, 476, 1321, 10382, 1341, 476, 280, 9040, 476, 275, 454, 6262, 264, 3138, 613, 476, 275, 269, 4366, 272, 278, 815, 476, 272, 269, 276, 454, 30043, 14668, 476, 275, 815, 476, 736, 10382, 1341, 476, 2641, 476, 275, 269, 272, 630, 323, 264, 2845, 335, 7117, 815, 1535, 454, 274, 630, 320, 264, 1535, 815, 476, 272, 476, 272, 630, 320, 264, 476, 10037, 630, 321, 264, 476, 1839, 630, 324, 264, 3138, 613, 1990, 815, 586, 454, 6357, 264, 535, 3287, 264, 815, 630, 343, 1107, 476, 272, 264, 273, 1107, 476, 280, 476, 279, 476, 278, 3066, 476, 274, 454, 6262, 264, 6567, 630, 323, 994, 275, 630, 320, 264, 476, 272, 2999, 512, 2999, 476, 275, 476, 2767, 476, 5038, 476, 273, 630, 320, 264, 476, 280, 476, 273, 815, 476, 2767, 454, 276, 630, 324, 264, 476, 271, 269, 1822, 280, 630, 321, 264, 476, 1015, 1700, 276, 815, 476, 271, 269, 1822, 4905, 454, 6357, 264, 476, 1839, 544, 3284, 8494, 320, 512, 815, 521, 269, 1315, 476, 272, 454, 273, 476, 273, 630, 320, 264, 476, 272, 630, 321, 264, 630, 322, 264, 1035, 815, 536, 454, 276, 476, 5392, 630, 323, 264, 679, 815, 544, 454, 1839, 544, 950, 512, 815, 521, 563, 273, 476, 5038, 476, 10219, 476, 274, 630, 320, 264, 476, 271, 630, 321, 264, 476, 273, 269, 5881, 280, 275, 454, 6262, 264, 6567, 630, 323, 994, 2767, 476, 24423, 630, 322, 264, 476, 272, 630, 323, 264, 476, 273, 269, 4200, 276, 278, 454, 7049, 3780, 22995, 2969, 630, 324, 264, 476, 1839, 630, 324, 264, 476, 272, 269, 3607, 280, 273, 630, 325, 264, 1107, 274, 269, 5400, 277, 273, 454, 5416, 264, 681, 815, 476, 2190, 476, 1822, 335, 1107, 476, 1428, 335, 273, 476, 274, 630, 320, 264, 476, 273, 630, 321, 264, 476, 2767, 630, 326, 264, 1107, 275, 269, 278, 1015, 276, 630, 327, 264, 1107, 271, 269, 277, 4200, 271, 454, 6357, 264, 533, 815, 476, 8517, 476, 272, 454, 6262, 264, 630, 323, 264, 1107, 277, 476, 275, 630, 320, 264, 476, 274, 630, 321, 264, 476, 273, 454, 6262, 264, 476, 280, 476, 7785, 476, 1822, 476, 274, 454, 1839, 630, 322, 264, 476, 273, 630, 323, 264, 476, 274, 454, 16216, 264, 630, 324, 264, 476, 275, 454, 289, 629, 476, 274, 476, 1626, 454, 275, 630, 320, 264, 476, 275, 630, 321, 264, 476, 25838, 476, 276, 630, 320, 264, 476, 275, 269, 27088, 630, 321, 264, 476, 271, 269, 4350, 454, 274, 269, 272, 630, 322, 264, 476, 16348, 630, 323, 264, 476, 279, 630, 322, 264, 476, 271, 269, 4366, 276, 630, 323, 264, 476, 273, 269, 276, 5038, 276, 454, 272, 630, 320, 264, 1535, 815, 476 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 10139, 5320, 815, 3403, 2891, 921, 848, 4283, 707, 10957, 1934, 256, 315, 333, 5602, 32188, 338, 815, 678, 18257, 319, 256, 287, 258, 259, 260, 317, 261, 265, 3890, 318, 266, 268, 284, 270, 265, 346, 22042, 316, 315, 347, 262, 21968, 281, 270, 286, 11783, 283, 285, 18411, 577, 1513, 815, 1412, 29582, 3698, 724, 6359, 9383, 19282, 641, 336, 337, 560, 12320, 342, 15383, 345, 5723, 7374, 9128, 21203, 296, 297, 298, 299, 300, 301, 8008, 304, 305, 4306, 10013, 310, 311, 312, 313, 7055, 333, 4548, 815, 1412, 23713, 24833, 277, 4281, 280, 28847, 258, 2638, 519, 3259, 540, 519, 10957, 454, 3698, 3259, 9638, 817, 5320, 2187, 825, 952, 476, 279, 2999, 7003, 9638, 817, 5320, 264, 2999, 476, 1626, 912, 1038, 2132, 476, 272, 454, 825, 8640, 7003, 9638, 817, 5320, 264, 13843, 476, 1626, 912, 1038, 2132, 476, 273, 454, 825, 8640, 7003, 9638, 817, 5320, 264, 2652, 476, 271, 912, 1038, 2132, 910, 272, 454, 825, 3116, 912, 1038, 2132, 476, 271, 692, 258, 2638, 519, 3334, 454, 3698, 3334, 9638, 817, 5320, 2187, 825, 2040, 318, 718, 815, 476, 271, 454, 825, 585, 1142, 538, 10957, 912, 1038, 952, 1142, 538, 6698, 912, 2018, 2040, 318, 718, 6834, 476, 272, 454, 2018, 2736, 454, 825, 585, 1142, 538, 10957, 912, 1038, 952, 1142, 538, 1347, 338, 912, 2018, 2040, 318, 718, 6834, 476, 272, 454, 2018, 2736, 22562, 825, 585, 1142, 538, 10957, 912, 1038, 952, 1142, 538, 15358, 912, 2018, 2040, 318, 718, 6834, 476, 272, 454, 2018, 2736, 454, 825, 2132, 2040, 318, 718, 1038, 692, 258, 2638, 519, 10957, 1376, 609, 1915, 454, 3698, 1376, 318, 2421, 29999, 9638, 817, 5320, 2187, 825, 952, 10957, 314, 271, 316, 538, 1347, 338, 912, 1038, 2132, 476, 272, 454, 825, 3116, 912, 1038, 2132, 476, 271, 1038, 692, 604, 3259, 9638, 817, 5320, 264, 2652, 476, 271, 610, 3334, 9638, 817, 5320, 264, 2652, 476, 272, 912, 825, 1820, 2891, 869, 1377, 5602, 19197, 3334, 9638, 817, 5320, 264, 2652, 476, 274, 543, 1376, 318, 2421, 29999, 9638, 817, 5320, 264, 2652, 476, 272, 543, 3259, 9638, 817, 5320, 264, 2652, 476, 273, 912, 825, 1820, 2891, 14683, 1377, 5602, 19197, 3259, 9638, 817, 5320, 264, 2652, 910, 272, 912, 825, 1820, 2891, 9767, 4283, 4986, 267, 5225, 2119, 1586, 32405, 12828, 912, 825, 1820, 2891, 332, 1497, 1377, 8442, 0, 6112, 6936, 912, 825, 10917, 815, 3403, 2891, 921, 848, 4283, 707, 1665, 256, 315, 333, 5602, 825, 1377, 815, 834, 26685, 9128, 2562, 3633, 4840, 825, 952, 10917, 18994, 323, 13424, 10031, 1038, 952, 476, 3445, 10922, 703, 6025, 11391, 264, 10922, 476, 1911, 912, 2018, 1377, 815, 834, 288, 4840, 2018, 2736, 454, 1038, 8640, 476, 3199, 10922, 703, 6025, 11391, 264, 2999, 476, 3445, 912, 2018, 1377, 815, 834, 289, 4840, 2018, 2736, 454, 1038, 8640, 476, 2568, 10922, 703, 6025, 11391, 264, 2999, 476, 3199, 912, 2018, 1377, 815, 834, 290, 4840, 2018, 2736, 454, 1038, 8640, 476, 271, 10922, 703, 6025, 11391, 264, 2999, 476, 2568, 912, 2018, 1377, 815, 834, 291, 257, 3248, 2018, 2736, 454, 825, 3116, 912, 1038, 1820, 2891, 19587, 7696, 267, 5225, 2119, 1586, 32405, 2745, 2891, 20365, 1665, 568, 281, 834, 1341, 1193, 6025, 11391, 264, 1341, 14307, 621, 568, 1377, 834, 1341, 1377, 994, 0, 5814, 4351, 607, 678, 692, 29729, 13448, 815, 1496, 271, 267, 476, 1015, 2639, 29729, 14729, 815, 1496, 271, 267, 476, 1015, 6540, 5035, 25725, 912, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 4877, 1077, 815, 476, 1911, 454, 1038, 1582, 11859, 815, 678, 27110, 263, 29729, 13448, 314, 271, 3910, 3656, 13448, 314, 272, 7481, 1038, 1582, 13885, 815, 678, 27110, 263, 29729, 14729, 314, 271, 3910, 3656, 14729, 314, 272, 20285, 825, 1219, 1847, 4311, 2187, 1038, 2990, 13448, 815, 1582, 11859, 1341, 678, 26716, 4069, 8443, 272, 267, 273, 16427, 272, 16427, 273, 7481, 1038, 2990, 14729, 815, 1582, 13885, 1341, 678, 26716, 4069, 8443, 272, 267, 273, 16427, 272, 16427, 273, 20285, 1038, 952, 2990, 13448, 2999, 3656, 13448, 314, 271, 14158, 2018, 1582, 11859, 815, 3656, 13448, 314, 272, 316, 1341, 2990, 13448, 454, 1038, 8640, 2990, 13448, 3436, 3656, 13448, 314, 272, 14158, 2018, 1582, 11859, 815, 2990, 13448, 910, 3656, 13448, 314, 272, 2639, 1038, 3116, 912, 2018, 1582, 11859, 815, 2990, 13448, 692, 1038, 952, 2990, 14729, 2999, 3656, 14729, 314, 271, 14158, 2018, 1582, 13885, 815, 3656, 14729, 314, 272, 316, 1341, 2990, 14729, 454, 1038, 8640, 2990, 14729, 3436, 3656, 14729, 314, 272, 14158, 2018, 1582, 13885, 815, 2990, 14729, 910, 3656, 14729, 314, 272, 2639, 1038, 3116, 912, 2018, 1582, 13885, 815, 2990, 14729, 1363, 692, 1038, 1582, 4877, 1077, 20699, 476, 272, 454, 1038, 2132, 4311, 11859, 267, 1582, 13885, 2020, 825, 1219, 3548, 4311, 2187, 1038, 1582, 4877, 1077, 6834, 476, 736, 454, 1038, 952, 1582, 4877, 1077, 3436, 476, 1911, 912, 2018, 1582, 4877, 1077, 815, 476, 1911, 692, 5035, 12551, 912, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 11859, 815, 678, 27110, 263, 29729, 13448, 314, 271, 3910, 3656, 13448, 314, 272, 7481, 1038, 1582, 13885, 815, 678, 27110, 263, 29729, 14729, 314, 271, 3910, 3656, 14729, 314, 272, 20285, 825, 1219, 1847, 4311, 2187, 1038, 2990, 13448, 815, 1582, 11859, 1341, 678, 26716, 4069, 8443, 272, 16427, 272, 7481, 1038, 2990, 14729, 815, 1582, 13885, 1341, 678, 26716, 4069, 8443, 272, 16427, 272, 20285, 1038, 952, 2990, 13448, 2999, 3656, 13448, 314, 271, 14158, 2018, 1582, 11859, 815, 3656, 13448, 314, 272, 316, 1341, 2990, 13448, 454, 1038, 8640, 2990, 13448, 3436, 3656, 13448, 314, 272, 14158, 2018, 1582, 11859, 815, 2990, 13448, 910, 3656, 13448, 314, 272, 2639, 1038, 3116, 912, 2018, 1582, 11859, 815, 2990, 13448, 692, 1038, 952, 2990, 14729, 2999, 3656, 14729, 314, 271, 14158, 2018, 1582, 13885, 815, 3656, 14729, 314, 272, 316, 1341, 2990, 14729, 454, 1038, 8640, 2990, 14729, 3436, 3656, 14729, 314, 272, 14158, 2018, 1582, 13885, 815, 2990, 14729, 910, 3656, 14729, 314, 272, 2639, 1038, 3116, 912, 2018, 1582, 13885, 815, 2990, 14729, 1363, 692, 1038, 2132, 4311, 11859, 267, 1582, 13885, 2020, 339, 31103, 815, 25725, 4590, 8127, 815, 11713, 1721, 1142, 538, 2039, 263, 1015, 2187, 825, 1007, 6958, 880, 815, 12551, 4590, 825, 3165, 6910, 28956, 6958, 880, 2020, 6112, 6936, 912, 825, 952, 711, 7003, 6600, 880, 2187, 1038, 1820, 3488, 1492, 7535, 814, 1100, 811, 3165, 267, 7064, 585, 4730, 256, 5073, 1038, 2736, 454, 825, 952, 711, 14854, 4877, 1077, 912, 1038, 1820, 3488, 1492, 14854, 814, 1100, 811, 1379, 267, 3014, 568, 936, 256, 5073, 1038, 2736, 692, 825, 1064, 815, 14854, 6230, 913, 10797, 825, 585, 1142, 6958, 880, 538, 3165, 11468, 14158, 1038, 952, 1142, 6958, 880, 6230, 913, 3890, 2652, 1064, 912, 2018, 14854, 4318, 520, 4590, 2018, 3165, 31927, 16216, 778, 6958, 880, 994, 2018, 1820, 3488, 821, 3165, 814, 1044, 13881, 267, 519, 3165, 2451, 281, 1412, 1341, 1193, 12759, 6600, 880, 30727, 0, 5814, 4351, 454, 5814, 2653, 7666, 328, 607, 575, 692, 2745, 2891, 1366, 734, 901, 568, 1250, 1101, 2119, 28612, 19203, 5602, 15893, 815, 4351, 27110, 263, 271, 267, 476, 866, 264, 567, 1948, 1205, 513, 4351, 1297, 689, 1496, 271, 267, 866, 2639, 9392, 815, 476, 271, 567, 1948, 875, 1082, 4960, 519, 6345, 2907, 1031, 454, 577, 766, 815, 476, 276, 476, 1948, 875, 1082, 4960, 519, 6345, 723, 454, 258, 15893, 815, 1193, 28840, 994, 6112, 6025, 1307, 2999, 4960, 2187, 825, 10917, 815, 575, 269, 10938, 7901, 263, 916, 326, 8782, 3299, 2140, 8782, 3410, 1400, 3299, 14816, 18989, 267, 3239, 22561, 267, 3597, 22561, 994, 825, 952, 10917, 18994, 323, 13424, 10031, 1038, 2053, 6834, 476, 272, 454, 1038, 1948, 29674, 815, 1193, 6025, 11391, 994, 1038, 7058, 815, 703, 6025, 11391, 994, 1038, 952, 263, 29674, 2652, 1297, 2187, 2018, 575, 269, 916, 326, 7901, 2891, 13433, 267, 596, 616, 1318, 256, 315, 333, 17812, 2784, 2827, 267, 596, 3094, 32405, 2018, 2736, 454, 1038, 3116, 912, 2018, 952, 6025, 1307, 2999, 4960, 2187, 3546, 575, 269, 916, 326, 7901, 2891, 921, 848, 2119, 1586, 32405, 3546, 952, 263, 29674, 2999, 1297, 2187, 7386, 575, 269, 916, 326, 7901, 2891, 527, 568, 1932, 1507, 32405, 3546, 8640, 263, 29674, 3436, 1297, 2187, 7386, 575, 269, 916, 326, 7901, 2891, 527, 568, 1932, 2462, 32405, 3546, 575, 269, 916, 326, 7901, 2891, 577, 766, 6836, 281, 834, 1341, 1193, 6025, 1307, 264, 1341, 834, 270, 257, 1341, 1193, 263, 577, 766, 4917, 2018, 3116, 912, 3546, 575, 269, 916, 326, 7901, 2891, 9767, 2196, 856, 540, 519, 4960, 256, 315, 978, 877, 568, 936, 32405, 825, 3116, 912, 1038, 3136, 0, 5814, 15259, 454, 5814, 795, 5459, 454, 5228, 579, 328, 1104, 1525, 14067, 520, 2065, 318, 14241, 692, 3698, 4283, 5091, 1311, 800, 10031, 825, 1247, 6936, 912, 1038, 2619, 15461, 5091, 1311, 800, 815, 3403, 2891, 11767, 15682, 281, 19515, 1038, 952, 15259, 29624, 18994, 323, 597, 9638, 987, 15461, 5091, 1311, 800, 2187, 2018, 2132, 2619, 15461, 5091, 1311, 800, 454, 1038, 3116, 912, 2018, 1820, 2891, 26073, 568, 711, 513, 15682, 10590, 2020, 3698, 1205, 18316, 318, 2169, 3290, 14067, 520, 2524, 263, 2169, 5014, 2073, 6119, 2073, 2450, 2073, 2169, 5014, 16062, 5896, 476, 2187, 825, 585, 3758, 538, 6119, 912, 1038, 32197, 267, 3758, 318, 2169, 3290, 815, 15259, 29624, 4732, 680, 924, 868, 31526, 14277, 12949, 257, 7481, 1038, 952, 3758, 318, 2169, 3290, 538, 24909, 16062, 5896, 610, 630, 6352, 263, 2169, 5014, 16062, 5896, 264, 2652, 476, 272, 543, 24909, 16062, 5896, 314, 271, 316, 2652, 15234, 2187, 2018, 952, 3758, 318, 2169, 3290, 711, 538, 24909, 912, 3546, 24909, 314, 12803, 318, 2169, 3290, 316, 815, 31460, 3546, 24909, 314, 12803, 318, 2169, 3290, 6012, 257, 21653, 19312, 815, 3758, 14277, 21653, 31116, 3546, 24909, 314, 12803, 318, 2169, 3290, 6012, 257, 12248, 19312, 815, 476, 272, 454, 2018, 3116, 912, 3546, 24909, 314, 12803, 318, 2169, 3290, 6012, 257, 21653, 19312, 6834, 3758, 14277, 21653, 31116, 3546, 24909, 314, 12803, 318, 2169, 3290, 6012, 257, 12248, 19312, 6834, 476, 272, 692, 825, 2132, 1205, 14067, 520, 2524, 263, 2169, 5014, 267, 21653, 267, 6352, 6600, 3796, 11723, 3698, 1205, 14067, 520, 2524, 263, 2169, 5014, 267, 20135, 15481, 267, 20135, 6958, 3796, 2187, 825, 7194, 815, 11713, 825, 585, 1140, 337, 267, 1871, 538, 24909, 29096, 10031, 1038, 952, 2698, 15481, 2652, 476, 271, 912, 2018, 2450, 30648, 1417, 815, 476, 271, 454, 1038, 3116, 912, 2018, 2450, 30648, 1417, 815, 630, 7407, 14277, 21653, 19312, 265, 1911, 8358, 20135, 15481, 692, 1038, 952, 2698, 6958, 3796, 2652, 476, 271, 912, 2018, 1293, 30648, 1417, 815, 476, 271, 454, 1038, 3116, 912, 2018, 1293, 30648, 1417, 815, 630, 7407, 14277, 12248, 19312, 265, 1911, 8358, 20135, 6958, 3796, 692, 1038, 7194, 6910, 263, 19127, 2018, 834, 21653, 30648, 1417, 9899, 21653, 30648, 1417, 2676, 2018, 834, 12248, 30648, 1417, 9899, 12248, 30648, 1417, 2676, 2018, 834, 2169, 3290, 9899, 3430, 337, 2676, 2018, 834, 21653, 9899, 7407, 14277, 21653, 257, 16689, 2018, 834, 12248, 9899, 7407, 14277, 12248, 31116, 1038, 7684, 2020, 825, 2132, 476, 7194, 692, 3698, 1205, 318, 2169, 3290, 14067, 520, 2524, 16062, 5896, 263, 560, 520, 2524, 267, 2169, 2187, 825, 1250, 19553, 5459, 815, 31460, 825, 2626, 815, 11713, 825, 585, 18802, 538, 7194, 912, 1038, 952, 18802, 14277, 2169, 3290, 19312, 538, 970, 912, 19930, 1250, 19553, 5459, 314, 560, 520, 2065, 14277, 2169, 3290, 257, 14963, 815, 18802, 692, 825, 585, 552, 538, 970, 912, 1038, 952, 552, 538, 1250, 19553, 5459, 269, 12399, 10031, 2018, 2626, 6910, 30044, 19553, 5459, 314, 324, 7481, 1038, 3116, 912, 2018, 2626, 6910, 263, 19127, 3546, 834, 12248, 9899, 271, 2676, 3546, 834, 12248, 30648, 1417, 9899, 271, 2676, 3546, 834, 21653, 9899, 271, 2676, 3546, 834, 21653, 30648, 1417, 9899, 271, 2676, 3546, 834, 2169, 3290, 9899, 324, 454, 2018, 7684, 2020, 825, 2132, 2626, 692, 3698, 1205, 5091, 1311, 800, 318, 20880, 19553, 5459, 318, 845, 5560, 1311, 800, 25814, 5459, 318, 8971, 267, 2169, 5014, 16062, 5896, 2187, 825, 795, 5459, 318, 8971, 14277, 325, 3796, 19312, 815, 11713, 825 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 17723, 14214, 12953, 30755, 257, 12024, 642, 1470, 7410, 538, 519, 6777, 269, 1411, 9329, 899, 873, 1932, 269, 12728, 14214, 12953, 15332, 721, 267, 594, 4862, 1776, 4473, 540, 9597, 332, 2720, 538, 519, 15624, 269, 17723, 14214, 12953, 30755, 30948, 12728, 14214, 24149, 10634, 338, 3893, 873, 782, 5249, 909, 1631, 286, 12728, 14214, 12953, 1358, 7948, 12728, 14214, 24149, 10634, 339, 5873, 938, 11407, 269, 3571, 1378, 4064, 546, 2331, 269, 1358, 941, 11344, 29744, 267, 519, 2681, 540, 15489, 3762, 9991, 689, 519, 4054, 269, 17723, 14214, 12953, 30755, 257, 2791, 12728, 14214, 24149, 10634, 557, 7745, 7014, 269, 1358, 4397, 596, 547, 3247, 835, 1900, 2539, 269, 5502, 267, 596, 12728, 14214, 24149, 10634, 557, 2322, 3054, 693, 519, 1482, 1377, 607, 803, 269, 634, 1249, 602, 594, 12728, 14214, 24149, 10634, 332, 711, 669, 770, 2358, 596, 1797, 594, 12728, 14214, 24149, 10634, 332, 8156, 596, 607, 606, 3160, 267, 899, 28370, 269, 1411, 1058, 581, 1166, 13593, 269, 12728, 14214, 12953, 594, 18084, 1250, 7916, 269, 17723, 14214, 12953, 30755, 19285, 12728, 14214, 24149, 10634, 961, 581, 811, 1166, 13593, 950, 649, 723, 519, 4357, 2911, 269, 12728, 14214, 12953, 1261, 512, 12921, 539, 803, 269, 17723, 14214, 12953, 30755, 257, 3383, 791, 520, 1304, 269, 1924, 1480, 269, 1411, 12728, 14214, 24149, 10634, 557, 4280, 585, 1250, 24756, 269, 1411, 666, 12728, 14214, 24149, 10634, 339, 2503, 803, 547, 711, 2285, 621, 1631, 269, 12728, 14214, 12953, 1261, 1500, 513, 23972, 609, 1010, 3946, 267, 543, 6891, 22063, 7902, 267, 12946, 7674, 3531, 1562, 540, 1426, 269, 1280, 930, 2601, 267, 594, 10393, 3323, 3206, 540, 519, 5152, 17723, 14214, 12953, 30755, 257, 31640, 601, 4993, 269, 12728, 14214, 12953, 17723, 14214, 12953, 30755, 20442, 941, 827, 547, 3548, 950, 596, 865, 24963, 12628, 538, 269, 667, 710, 609, 721, 267, 543, 1287, 649, 12728, 14214, 24149, 10634, 961, 723, 607, 1082, 17723, 14214, 12953, 383, 489, 1440, 10675, 13341, 12728, 14214, 24149, 10634, 607, 596, 899, 269, 12728, 14214, 12953, 17723, 14214, 12953, 30755, 19285, 12728, 14214, 24149, 10634, 332, 711, 29749, 269, 594, 4465, 12728, 14214, 24149, 10634, 339, 3548, 4376, 538, 519, 4033, 16447, 269, 1411, 723, 547, 917, 602, 269, 12728, 14214, 12953, 1261, 695, 745, 13949, 267, 1869, 30832, 1194, 856, 593, 1010, 17599, 899, 513, 6899, 3032, 269, 17723, 14214, 12953, 30755, 257, 7312, 2530, 269, 1411, 666, 1694, 543, 4585, 267, 1287, 269, 12728, 14214, 12953, 1261, 9782, 30780, 543, 6035, 803, 1010, 1688, 269, 594, 588, 1563, 693, 621, 10145, 569, 269, 1744, 1136, 1010, 2212, 609, 8272, 628, 267, 646, 3274, 15336, 609, 803, 1524, 519, 3268, 267, 711, 15700, 269, 17723, 14214, 12953, 30755, 257, 8489, 12728, 14214, 24149, 10634, 338, 519, 1964, 540, 1250, 1895, 286, 12728, 14214, 12953, 17723, 14214, 12953, 30755, 257, 7312, 22063, 543, 1480, 3659, 616, 2922, 267, 594, 26924, 596, 269, 1284, 12728, 14214, 24149, 10634, 557, 2016, 873, 741, 1378, 22581, 2094, 789, 1810, 12728, 14214, 24149, 10634, 339, 723, 513, 16823, 6361, 3620, 517, 528, 10160, 693, 1250, 3349, 267, 602, 12728, 14214, 24149, 10634, 338, 782, 269, 12728, 14214, 12953, 1261, 939, 330, 19861, 4724, 513, 1970, 267, 25509, 3349, 267, 513, 3787, 3677, 982, 519, 1866, 538, 519, 4055, 269, 6145, 519, 1964, 267, 621, 729, 11303, 676, 2040, 696, 6681, 23302, 23107, 543, 865, 325, 553, 267, 4806, 539, 538, 6505, 2156, 322, 3547, 543, 6063, 557, 1206, 269, 16910, 1014, 12306, 1524, 5196, 513, 1507, 561, 990, 3150, 520, 543, 1273, 1540, 519, 5544, 22290, 1864, 269, 17723, 14214, 12953, 30755, 257, 16605, 803, 2754, 286, 12728, 14214, 12953, 594, 4769, 12728, 14214, 24149, 10634, 339, 14064, 1518, 602, 609, 606, 2626, 267, 3079, 9361, 1524, 538, 519, 11381, 1985, 547, 1010, 865, 17304, 269, 898, 729, 513, 2582, 10160, 269, 3143, 835, 1223, 1694, 609, 803, 269, 1284, 941, 4166, 8678, 676, 827, 513, 18797, 1866, 267, 1519, 681, 584, 1731, 543, 1744, 11535, 269, 2701, 4080, 547, 16910, 1014, 602, 519, 1004, 594, 12728, 14214, 24149, 10634, 323, 13676, 1185, 1044, 646, 4705, 543, 941, 23232, 269, 6936, 547, 1250, 2262, 267, 594, 4769, 12728, 14214, 24149, 10634, 339, 3548, 1022, 540, 519, 1426, 1305, 856, 1354, 721, 267, 855, 594, 21334, 267, 621, 6743, 7168, 1434, 269, 853, 4428, 539, 12397, 880, 3014, 646, 985, 269, 18610, 3694, 609, 9252, 1869, 8375, 689, 621, 269, 667, 17143, 338, 594, 1131, 723, 8149, 12638, 585, 269, 1809, 594, 4769, 12728, 14214, 24149, 10634, 339, 2285, 538, 269, 2290, 540, 519, 1101, 3652, 540, 519, 3014, 729, 547, 2760, 3548, 3544, 707, 1378, 1158, 269, 12267, 543, 14868, 705, 15903, 827, 1346, 18174, 880, 2614, 547, 11716, 602, 13390, 1081, 269, 634, 824, 7188, 619, 6836, 2182, 547, 27642, 594, 4769, 12728, 14214, 24149, 10634, 339, 2291, 267, 855, 16910, 1014, 729, 19832, 676, 803, 269, 1937, 572, 267, 646, 1166, 597, 1540, 609, 803, 269, 2311, 2547, 646, 7012, 12728, 14214, 24149, 10634, 339, 607, 1835, 817, 607, 1169, 824, 8425, 787, 594, 8604, 547, 7237, 267, 855, 594, 4769, 12728, 14214, 24149, 10634, 339, 4473, 547, 1022, 540, 621, 17723, 14214, 24149, 1256, 952, 621, 729, 23406, 693, 2053, 269, 594, 3576, 621, 782, 538, 609, 513, 588, 18757, 3068, 267, 799, 8604, 547, 10508, 1864, 602, 1454, 811, 269, 634, 824, 2021, 693, 519, 3349, 941, 1447, 11259, 269, 7102, 1413, 267, 1022, 2262, 267, 543, 789, 18374, 24268, 609, 561, 755, 269, 769, 1249, 267, 1082, 824, 1004, 538, 519, 4055, 849, 8604, 547, 15835, 609, 561, 755, 269, 15020, 12799, 865, 269, 4438, 543, 1310, 12129, 267, 594, 14478, 607, 1004, 17723, 14214, 24149, 15185, 2356, 267, 855, 3006, 811, 17723, 14214, 24149, 20109, 1142, 824, 2909, 7999, 569, 269, 898, 729, 899, 1373, 538, 21738, 1164, 1586, 269, 2368, 540, 621, 729, 1175, 21098, 532, 269, 2368, 540, 621, 729, 5230, 575, 1886, 532, 17723, 14214, 24149, 513, 1688, 23816, 1782, 519, 6089, 610, 23510, 909, 519, 25427, 269, 1656, 930, 540, 621, 729, 12728, 14214, 12953, 2485, 355, 3467, 269, 21661, 519, 4055, 267, 594, 4718, 835, 4807, 18214, 593, 1283, 540, 513, 812, 543, 2269, 9536, 548, 1864, 267, 3001, 909, 543, 1524, 269, 594, 729, 7168, 2386, 789, 1185, 4986, 593, 9944, 519, 2019, 6058, 748, 26642, 540, 1200, 1236, 7398, 269, 2311, 513, 3349, 7404, 267, 835, 4807, 729, 593, 1200, 19704, 538, 4395, 540, 513, 812, 267, 543, 1352, 729, 17723, 14214, 24149, 594, 26558, 1176, 19011, 1540, 1250, 4064, 267, 7432, 1394, 547, 1250, 1378, 3349, 269, 594, 1336, 16910, 1014, 12728, 14214, 24149, 10634, 338, 22401, 593, 803, 543, 6785, 646, 29506, 1242, 1250, 1169, 5114, 269, 3414, 930, 796, 4944, 7505, 4971, 267, 513, 1025, 1180, 17277, 540, 513, 4807, 1793, 573, 883, 519, 8900, 10160, 22290, 1864, 267, 519, 835, 594, 1185, 15189, 269, 2701, 546, 1905, 539, 513, 1850, 936, 1010, 22272, 543, 20386, 1200, 7916, 1472, 1864, 267, 21098, 532, 1010, 8405, 269, 1261, 6410, 835, 1688, 909, 1200, 1850, 267, 11319, 909, 519, 1236, 7398, 547, 7866, 5347, 17145, 267, 855, 646, 6382, 8604, 21933, 643, 1190, 547, 1200, 607, 646, 9833, 803, 543, 519, 824, 14538, 269, 31035, 689, 519, 1863, 2648, 543, 19039, 569, 10120, 4259, 267, 972, 729, 3592, 1945, 267, 1134, 267, 3339, 827, 713, 1747, 269, 634, 8425, 787, 594, 12728, 14214, 24149, 10634, 323, 2196, 883, 941, 2141, 4929, 8373, 538, 1250, 1158, 269, 700, 1005, 3425, 269, 4635, 9059, 967, 4593, 3234, 514, 2299, 269, 1809, 713, 729, 899, 1022, 824, 1514, 8317, 610, 5428, 269, 4658, 6785, 1142, 824, 543, 9833, 741, 2828, 609, 14246, 269, 1358, 5941, 2648, 543, 1453, 543, 6214, 269, 6936, 267, 789, 941, 1869, 4914, 543, 824, 547, 803, 267, 855, 594, 1223, 849, 3592, 1294, 873, 607, 1480, 269, 20290, 269, 3026, 5338, 547, 798, 811, 982, 1694, 972, 543, 588, 732, 267, 594, 6603, 883, 1250, 10359, 543, 15504, 856, 835, 540, 519, 1079, 27305, 10158, 13063, 594, 12728, 14214, 24149, 10634, 323, 4547, 2059, 269, 898, 729, 849, 513, 3351, 9107, 1847, 267, 7487, 607, 875, 594, 729, 865, 17237, 689, 8384, 782, 519, 905, 8463, 1472, 803, 269, 16910, 1014, 5612, 2968, 27278, 269, 17723, 14214, 12953, 30755, 30948, 568, 602, 286, 12728, 14214, 12953, 594, 4371, 621, 909, 269, 17723, 14214, 12953, 30755, 24679, 12728, 14214, 24149, 10634, 338, 513, 27305, 10158, 269, 898, 12728, 14214, 24149, 10634, 338, 12728, 14214, 12953, 2485, 355, 322, 22929, 269, 12728, 14214, 12953, 594, 4769, 12728, 14214, 24149, 10634, 339, 2731, 917, 1018, 3116, 547, 2161, 827, 621, 269, 594, 7012, 12728, 14214, 24149, 10634, 339, 1256, 2386, 1018, 729, 538, 621, 269, 715, 537, 326, 520, 286, 594, 1185, 1100, 2856, 1018, 519, 22946, 602, 17371, 344, 8631, 729, 267, 4688, 602, 621, 729, 8949, 269, 1261, 2363, 539, 621, 8049, 569, 267, 543, 594, 13264, 1055, 513, 4062, 267, 19184, 532, 621, 936, 547, 1864, 269, 1261, 9575, 621, 632, 1111, 569, 269, 17723, 14214, 12953, 30755, 257, 7312, 14734, 17965, 267, 12728, 14214, 12953, 608, 13094, 835, 540, 519, 2367, 267, 17723, 14214, 12953, 30755, 257, 18484, 12728, 14214, 24149, 10634, 339, 3548, 621, 269, 898, 12728, 14214, 24149, 10634, 338, 711, 2922, 269, 12728, 14214, 12953, 17723, 14214, 12953, 30755, 24679, 4465, 12728, 14214, 24149, 10634, 339, 10413, 803, 1934, 267, 12728, 14214, 12953, 6450, 4157, 539, 16910, 1014, 538, 20714, 766, 269, 17723, 14214, 12953, 30755, 257, 4517, 1810, 12728, 14214, 24149, 10634, 339, 1256, 1376, 538, 827, 8914, 610, 594, 12728, 14214, 24149, 10634, 961, 1577, 7137, 15925, 519, 3434, 723, 1200, 1259, 609, 596, 1586, 269, 12728, 14214, 12953, 634, 812, 16425, 9505, 909, 269, 16910, 1014, 1402, 6244, 519, 4062, 883, 1010, 5023, 267, 21400, 24617, 269, 654, 10248, 519, 7215, 1010, 3068, 4682, 998, 729, 3592, 554, 559, 13895, 269, 898, 3576, 1864, 1659, 327, 850, 547, 960, 998, 782, 602, 979, 4141, 344, 32727, 696, 1190, 1145, 267, 543, 594, 27838, 513, 8903, 3239, 540, 1864, 609, 6070, 4248, 512, 3530, 344, 269, 17723, 14214, 12953, 30755, 257, 11767, 8877, 267, 12728, 14214, 12953, 646, 10294, 950, 646, 12728, 14214, 24149, 10634, 323, 8737, 269, 17723, 14214, 12953, 30755, 30948, 12728, 14214, 24149, 10634, 338, 538, 621, 286, 12728, 14214, 12953, 17723, 14214, 12953, 30755, 19285, 1810, 12728, 14214, 24149, 10634, 339, 917, 269, 2368, 10217, 543, 1286, 14712, 269, 589, 19619, 540, 8631, 4990, 540, 535, 4310, 883, 824, 8631, 269, 12728, 14214, 12953, 2290, 4807, 267, 1200, 4552, 1225, 569, 543, 6960, 267, 6378, 803, 609, 513, 2036, 894, 1413, 269, 17723, 14214, 12953, 30755, 257, 6546, 12728, 14214, 24149, 10634, 338, 865, 6093, 540, 873, 269, 1358, 6335, 2470, 543, 519, 2609, 585, 519, 19160, 540, 741, 829, 30062, 13144, 2394, 789, 1100, 3476, 917, 1018, 621, 568, 789, 798, 269, 1358, 616, 606, 25213, 547, 519, 10143, 267, 8744, 8521, 1395, 560, 4592, 885, 543, 705, 558, 5209, 789, 3112, 1852, 269, 12728, 14214, 12953, 589, 2879, 7026, 1427, 677, 9782, 547, 1250, 17534, 267, 855, 594, 3787, 621, 1055, 269, 5292, 639, 1014, 1185, 19230, 803, 547, 581, 8799, 269, 769, 1769, 540, 741, 5266, 3540, 1242, 2623, 693, 12129, 267, 594, 1223, 798, 1100, 1447, 267, 865, 1250, 5639, 18423, 9350, 269, 17723, 14214, 12953, 30755, 257, 5978, 1395, 560, 4592, 885, 798, 1390, 1919, 269, 1284, 666, 4368, 7063, 596, 666, 12728, 14214, 24149, 10634, 339, 269, 1284, 723, 21818, 543, 5201, 269, 1284, 723, 6283, 602, 2306, 707, 9640, 1413, 899, 17878, 269, 12728, 14214, 12953, 17723, 14214, 12953, 30755, 257, 12024, 1018, 286, 12728, 14214, 12953, 4280, 835, 540, 519, 2367, 269, 17723, 14214, 12953, 30755, 257, 289, 611, 21658, 267, 12728, 14214, 12953, 594, 14452, 269, 1744, 11535, 695, 809, 1200, 2212, 269, 17723, 14214, 12953, 30755, 20442, 666, 3035, 1082, 540, 519, 1482, 2164, 609, 9059, 269, 12728, 14214, 12953, 17723, 14214, 12953, 30755, 257, 300, 20723, 7948, 12728, 14214, 24149, 10634, 339, 798, 1454, 1996, 1250, 7784, 4505, 269, 12728, 14214, 12953, 17723, 14214, 12953, 30755, 257, 5978, 1004, 15068, 269, 8307, 513, 1480, 1131, 2909, 326, 827, 1200, 2702, 547, 29937, 2669, 269, 12728, 14214, 12953, 17723, 14214, 12953, 30755, 257 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3765, 2041, 327, 3058, 789, 616, 593, 519, 1439, 540, 782, 519, 2942, 5955, 602, 4422, 2059, 609, 2576, 945, 3765, 2041, 327, 2314, 543, 3085, 1406, 798, 602, 1134, 693, 1919, 269, 1955, 849, 513, 3787, 11688, 26938, 538, 513, 2603, 540, 3871, 547, 2322, 519, 16620, 593, 513, 2385, 607, 1134, 269, 1215, 666, 835, 581, 30199, 950, 519, 2601, 585, 11838, 568, 711, 1256, 3964, 676, 4648, 543, 782, 1360, 1950, 875, 4713, 960, 269, 13966, 609, 513, 3728, 533, 3166, 4657, 1604, 609, 513, 2603, 540, 3237, 1373, 811, 543, 811, 11112, 547, 1419, 581, 2111, 547, 7639, 543, 798, 519, 1655, 585, 1920, 269, 898, 666, 1831, 513, 10690, 10690, 3510, 609, 519, 4057, 1126, 2348, 513, 4524, 602, 972, 568, 1100, 10826, 585, 543, 7092, 2429, 972, 1272, 609, 3237, 849, 7092, 689, 513, 1920, 1272, 711, 607, 4998, 607, 789, 1131, 899, 610, 666, 6023, 609, 1100, 3435, 689, 2618, 610, 2790, 1072, 547, 1018, 729, 1256, 519, 2014, 5196, 519, 10826, 585, 873, 543, 1175, 2348, 547, 6370, 998, 621, 782, 519, 1655, 789, 666, 568, 782, 513, 9157, 10788, 547, 15179, 585, 3025, 563, 296, 3893, 1250, 7911, 2038, 593, 883, 1864, 3168, 899, 646, 1185, 11838, 543, 2760, 1256, 6785, 1018, 729, 4636, 693, 519, 942, 269, 1261, 1175, 1185, 1100, 6015, 267, 2093, 267, 2828, 543, 7948, 1406, 1256, 1589, 585, 5128, 2059, 609, 3765, 2041, 327, 3058, 568, 1018, 594, 2219, 646, 1185, 513, 519, 942, 269, 1809, 594, 5059, 593, 1864, 543, 6026, 1864, 1919, 1318, 543, 26916, 1864, 543, 3576, 519, 942, 585, 1864, 543, 646, 729, 1434, 1586, 538, 1100, 942, 269, 594, 1589, 602, 568, 782, 596, 666, 798, 568, 547, 4001, 873, 1318, 543, 17192, 873, 585, 3257, 519, 1318, 1919, 543, 1291, 676, 1383, 543, 3970, 519, 9015, 2427, 540, 621, 609, 4376, 2942, 269, 589, 1126, 786, 782, 2081, 1246, 707, 1383, 543, 2119, 547, 1205, 19015, 5555, 543, 568, 519, 1655, 1259, 547, 979, 19037, 609, 513, 1126, 269, 0, 293, 337, 269, 19664, 334, 27116, 14024, 590, 297, 630, 2005, 6501, 12332, 281, 1496, 16659, 16659, 663, 390, 496, 601, 334, 476, 16659, 572, 330, 7288, 22049, 476, 2764, 4873, 476, 8687, 279, 1107, 476, 2918, 5988, 476, 6942, 279, 264, 729, 606, 7969, 31485, 269, 1261, 729, 10615, 540, 519, 25076, 693, 519, 30716, 604, 673, 15535, 20187, 2160, 630, 6533, 1572, 519, 4936, 5441, 264, 585, 476, 2764, 1296, 269, 1261, 729, 513, 22082, 538, 24666, 21655, 267, 543, 729, 835, 540, 519, 1101, 3744, 547, 1533, 22265, 569, 602, 519, 6129, 568, 513, 5182, 563, 21270, 1941, 1475, 2764, 4873, 476, 8687, 279, 2008, 25238, 1221, 1475, 2918, 5988, 476, 6942, 279, 630, 3042, 476, 6795, 10245, 24820, 2072, 1475, 299, 2946, 326, 542, 546, 262, 327, 517, 928, 584, 267, 5333, 2008, 347, 9743, 4801, 1475, 25332, 969, 2218, 540, 519, 4936, 5441, 2008, 20376, 14024, 729, 4535, 538, 3204, 326, 1470, 2506, 23158, 267, 1141, 646, 6594, 693, 519, 20908, 3726, 15547, 19063, 1756, 269, 2311, 519, 2085, 540, 476, 1626, 267, 646, 9411, 519, 20908, 3726, 11352, 538, 7507, 269, 1261, 4797, 1010, 2090, 693, 519, 4936, 5441, 267, 543, 7152, 1390, 3621, 2702, 269, 769, 476, 8146, 280, 267, 646, 729, 12912, 20131, 540, 6128, 543, 6323, 693, 519, 5441, 269, 769, 476, 7277, 272, 267, 646, 2968, 7905, 540, 8212, 693, 519, 20908, 3726, 5441, 538, 22784, 1729, 269, 769, 476, 7277, 275, 267, 646, 3459, 24396, 2090, 538, 7507, 267, 543, 729, 3921, 7134, 513, 17308, 593, 476, 1321, 5181, 476, 7277, 278, 269, 769, 476, 7277, 279, 267, 1813, 547, 519, 4936, 7169, 267, 519, 20908, 7057, 1185, 547, 4734, 7507, 269, 2605, 269, 27116, 14024, 6170, 519, 1985, 1079, 1296, 538, 519, 2136, 8003, 693, 853, 3415, 327, 32231, 5441, 267, 543, 519, 2136, 2276, 267, 1141, 646, 6026, 585, 513, 942, 693, 31869, 1326, 1144, 2160, 538, 6115, 267, 9823, 269, 1261, 849, 3576, 1010, 25719, 6514, 538, 18381, 972, 269, 3097, 7628, 1010, 3251, 538, 3013, 267, 646, 1558, 2155, 6387, 15623, 674, 517, 1555, 324, 8575, 1722, 267, 519, 1101, 10615, 540, 519, 2136, 2276, 25220, 25076, 538, 6115, 269, 1261, 6594, 609, 8575, 1722, 543, 5330, 539, 609, 1864, 585, 1082, 1296, 563, 3891, 8120, 547, 7507, 538, 476, 6977, 271, 269, 2201, 519, 16252, 540, 1010, 3735, 26393, 25845, 1723, 632, 966, 4815, 267, 646, 2968, 2212, 540, 519, 25076, 540, 519, 5441, 693, 2085, 476, 3953, 269, 769, 476, 6977, 274, 267, 896, 1010, 4287, 267, 519, 1835, 22824, 25076, 729, 882, 11343, 547, 513, 1007, 9744, 593, 1283, 540, 519, 16114, 262, 296, 3913, 1794, 1470, 5783, 630, 1492, 32724, 540, 519, 5441, 1040, 27116, 14024, 6039, 607, 10615, 2394, 1010, 2669, 563, 14367, 2990, 729, 13934, 1310, 476, 6942, 271, 267, 950, 519, 20276, 656, 540, 519, 14466, 531, 2276, 1472, 7507, 729, 3144, 936, 676, 519, 8003, 540, 7977, 269, 769, 476, 6942, 274, 267, 519, 5441, 729, 10294, 3959, 540, 519, 7969, 2229, 269, 1879, 519, 2229, 6410, 547, 1491, 936, 519, 25076, 607, 1134, 267, 27116, 14024, 1486, 6479, 25525, 3585, 267, 543, 12219, 547, 4734, 519, 25076, 585, 835, 540, 1896, 7158, 6035, 547, 1864, 676, 4914, 2616, 14898, 269, 1261, 729, 6035, 1271, 3621, 7158, 543, 2797, 14064, 885, 676, 519, 2229, 267, 855, 15189, 547, 32410, 14336, 4800, 547, 519, 8003, 538, 1747, 540, 519, 15352, 269, 634, 10424, 2229, 1705, 711, 546, 732, 547, 15936, 609, 1864, 267, 543, 646, 4797, 607, 10615, 563, 3891, 5747, 538, 476, 6942, 279, 693, 2085, 476, 6795, 267, 538, 7507, 563, 20376, 14024, 1500, 7418, 547, 1082, 2127, 540, 17651, 563, 20376, 14024, 729, 2523, 5461, 538, 519, 6129, 267, 799, 646, 4767, 16111, 2429, 1010, 4876, 563, 4913, 267, 1010, 1292, 1858, 540, 1719, 729, 24666, 21655, 269, 1261, 11827, 519, 927, 3930, 1051, 5766, 1429, 267, 5182, 4715, 5766, 1429, 267, 543, 512, 7062, 1051, 14029, 2100, 269, 1261, 4951, 602, 1978, 10338, 3515, 538, 519, 8552, 540, 519, 6129, 941, 3361, 676, 10338, 538, 519, 3047, 781, 5790, 563, 28275, 538, 476, 5908, 274, 267, 646, 3459, 10655, 519, 26034, 540, 6801, 267, 7213, 6819, 930, 476, 275, 267, 1822, 24974, 4715, 5766, 2449, 269, 3414, 2079, 540, 713, 1239, 267, 646, 4362, 602, 519, 6801, 2097, 538, 513, 3908, 1297, 540, 3982, 2010, 543, 1016, 18196, 267, 799, 1223, 581, 13747, 676, 741, 1114, 19706, 3270, 269, 3245, 713, 1523, 267, 646, 2919, 519, 1101, 1062, 540, 24974, 8760, 281, 519, 2947, 27116, 14024, 5049, 269, 2755, 1010, 1062, 729, 25436, 17660, 676, 519, 12370, 1062, 267, 646, 1869, 6763, 607, 1167, 913, 17243, 540, 519, 6240, 540, 24974, 8760, 267, 799, 568, 513, 4909, 3693, 540, 28936, 12695, 269, 3571, 6284, 540, 7636, 13164, 540, 3327, 18119, 538, 519, 26034, 540, 930, 6801, 1500, 1864, 519, 1167, 913, 17243, 540, 3327, 6801, 267, 799, 1500, 835, 540, 1010, 19706, 5049, 563, 3891, 11827, 519, 27116, 14024, 12210, 267, 799, 568, 1031, 547, 2268, 1216, 11413, 538, 12084, 267, 12647, 543, 3165, 11396, 269, 1261, 6594, 519, 2916, 540, 7507, 543, 11827, 513, 834, 18404, 11136, 1748, 257, 585, 519, 10375, 10916, 540, 1896, 6688, 540, 4365, 1239, 269, 1261, 849, 6594, 519, 28050, 7702, 16004, 23653, 267, 519, 2360, 540, 17500, 267, 543, 519, 2014, 540, 30339, 269, 1261, 6896, 519, 9836, 5464, 540, 519, 3047, 781, 6419, 2361, 267, 543, 538, 476, 6977, 279, 3964, 513, 25080, 25076, 538, 7507, 563, 20376, 14024, 849, 5340, 1644, 2930, 1568, 585, 519, 14466, 531, 2229, 267, 971, 607, 13327, 4370, 13307, 540, 31914, 10118, 543, 7816, 610, 10380, 540, 18513, 1216, 1949, 269, 769, 476, 6977, 275, 268, 6977, 276, 267, 646, 24892, 606, 3169, 5619, 540, 519, 2561, 1014, 10158, 538, 7507, 269, 901, 5619, 729, 2663, 1031, 538, 519, 1283, 4919, 11837, 540, 7977, 269, 1261, 24892, 4070, 540, 561, 12915, 11817, 585, 519, 16788, 540, 519, 14466, 531, 2276, 269, 769, 476, 6977, 279, 267, 646, 14612, 547, 5333, 543, 5125, 547, 23144, 519, 2556, 16879, 14485, 563, 763, 1079, 5254, 16730, 302, 630, 23530, 570, 11293, 14111, 11555, 331, 725, 25076, 264, 14361, 1142, 4163, 606, 6293, 10189, 1572, 22444, 6224, 296, 630, 26422, 3047, 17583, 4856, 4689, 543, 4477, 328, 2214, 8879, 27148, 1916, 7628, 1010, 4876, 267, 2605, 269, 27116, 14024, 3370, 827, 476, 278, 1789, 4574, 538, 3621, 13746, 269, 1261, 849, 3370, 513, 1297, 540, 2835, 563, 763, 1032, 476, 8687, 279, 538, 2257, 543, 2029, 3238, 930, 1713, 2621, 267, 7396, 2630, 269, 5908, 271, 538, 2257, 454, 763, 1032, 476, 5908, 271, 538, 2257, 543, 2029, 3238, 930, 1713, 2621, 267, 7396, 2630, 269, 27420, 5149, 553, 454, 16215, 553, 630, 2381, 528, 4541, 25084, 281, 476, 27420, 5149, 553, 264, 568, 513, 6093, 1292, 12966, 20503, 602, 729, 4362, 676, 4432, 807, 7085, 846, 341, 747, 593, 476, 272, 4728, 476, 6245, 272, 538, 7507, 269, 634, 20503, 729, 3957, 676, 519, 8689, 540, 519, 3525, 6511, 25076, 538, 8956, 540, 519, 7969, 31485, 19664, 334, 27116, 14024, 269, 898, 568, 9286, 607, 606, 590, 15178, 20503, 563, 1103, 519, 3735, 476, 1960, 271, 338, 267, 513, 3060, 540, 19936, 5001, 10356, 1769, 7455, 1239, 602, 729, 6038, 1031, 547, 17589, 519, 8095, 2829, 543, 3337, 3631, 540, 476, 1015, 1007, 30563, 267, 1519, 630, 27420, 264, 5149, 553, 269, 634, 17223, 3337, 2203, 585, 713, 20503, 568, 2834, 267, 1247, 519, 1769, 7455, 10525, 1079, 3193, 9874, 829, 10047, 269, 8752, 2017, 557, 1239, 814, 849, 1044, 6592, 676, 24319, 693, 519, 4165, 601, 2100, 10830, 25076, 267, 799, 814, 1044, 11280, 607, 606, 4013, 2616, 2218, 676, 519, 19724, 14136, 4741, 8160, 324, 5501, 906, 540, 519, 8143, 24880, 540, 476, 27420, 5149, 553, 2285, 606, 7447, 2039, 689, 476, 1911, 547, 476, 18605, 544, 6629, 273, 918, 6629, 272, 521, 6629, 272, 270, 273, 267, 3379, 547, 476, 2004, 585, 16264, 1036, 14663, 543, 476, 6110, 585, 21432, 5070, 538, 606, 5790, 269, 7212, 476, 27420, 5149, 553, 814, 606, 10739, 2147, 547, 519, 966, 652, 320, 1920, 30563, 267, 621, 729, 1336, 547, 581, 606, 20775, 954, 331, 6016, 593, 519, 4493, 540, 922, 1875, 2173, 10248, 19706, 1826, 563, 7775, 321, 597, 6516, 540, 476, 27420, 5149, 553, 17951, 601, 334, 454, 17951, 601, 334, 568, 606, 7969, 24940, 2016, 2012, 543, 21519, 2495, 834, 13370, 2580, 610, 834, 332, 612, 10152, 2668, 6826, 5182, 454, 6826, 25578, 616, 513, 26945, 1305, 540, 6801, 609, 645, 19706, 2010, 543, 12998, 3515, 269, 589, 7522, 518, 4214, 267, 3006, 5219, 547, 607, 18190, 2142, 25578, 267, 568, 513, 1875, 1606, 10967, 326, 5050, 645, 5182, 4171, 8552, 814, 267, 610, 1185, 693, 930, 942, 267, 835, 610, 811, 7195, 1067, 12998, 3515, 5861, 12365, 5182, 454, 288, 3327, 5182, 568, 3335, 606, 29297, 5328, 9649, 7936, 5182, 267, 513, 24788, 748, 2699, 9649, 267, 4171, 5790, 3568, 811, 3327, 982, 5135, 269, 634, 1079, 2609, 9192, 538, 519, 5580, 6106, 540, 519, 5182, 267, 8108, 3327, 24785, 267, 799, 27499, 782, 519, 5135, 538, 519, 5790, 267, 6028, 3327, 8444, 1863, 547, 1106, 824, 3327, 7135, 267, 4758, 519, 5182, 513, 834, 810, 582, 344, 257, 5790, 543, 513, 4174, 330, 5944, 6299, 344, 2699, 5920, 269, 1703, 616, 849, 930, 21221, 543, 2706, 326, 5050, 3327, 6801, 267, 609, 519, 811, 1455, 9649, 6801, 3006, 1373, 1572, 8106, 3327, 6801, 547, 10646, 873, 563, 1103, 1034, 6801, 630, 7945, 607, 519, 6129, 1070, 519, 5790, 568, 21950, 538, 5135, 982, 3327, 269, 18103, 2435, 6801, 711, 27109, 519, 4162, 540, 3327, 6801, 855, 3579, 2614, 547, 1106, 3327, 24785, 616, 4061, 1572, 5135, 11656, 6801, 563, 27793, 6801, 723, 3833, 10058, 19706, 4162, 267, 543, 789, 941, 1101, 6444, 676, 741, 26034, 676, 19664, 334, 27116, 14024, 538, 519, 476, 5908, 271, 338, 267, 513, 21722, 942, 538, 24666, 21655, 5861, 987, 4301, 5783, 543, 2257, 454, 763, 2078, 1063, 519, 7826, 5783, 543, 2257, 568, 513, 4922, 23503, 1641, 269, 25214, 267, 519, 7826, 5783, 814, 1419, 1044, 513, 19121, 540, 9443, 269, 898, 814, 1044, 30508, 538, 519, 5748, 540, 3506, 267 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 538, 1840, 547, 1022, 2016, 1344, 267, 547, 5265, 5173, 13121, 1137, 269, 634, 5934, 6111, 2557, 568, 476, 4281, 9077, 543, 568, 519, 1482, 607, 519, 5934, 1780, 2557, 585, 2757, 2185, 269, 667, 657, 720, 9273, 476, 280, 628, 7160, 10519, 476, 7818, 16960, 3445, 276, 279, 5325, 274, 269, 634, 2596, 4559, 540, 6482, 616, 519, 11281, 585, 3259, 267, 519, 2148, 585, 4320, 267, 543, 519, 6121, 585, 2597, 2527, 269, 6481, 18262, 9273, 585, 546, 27186, 13475, 513, 6093, 18262, 9273, 1576, 543, 2488, 5363, 1543, 538, 606, 3839, 543, 2653, 339, 537, 2955, 3898, 269, 667, 657, 720, 9819, 2259, 2042, 15460, 28866, 563, 31936, 267, 596, 961, 1205, 1806, 540, 519, 1585, 9273, 1500, 547, 3313, 519, 3617, 7274, 540, 3075, 610, 3070, 602, 1058, 581, 13950, 547, 2550, 269, 4855, 476, 7818, 271, 4375, 2412, 278, 1240, 2564, 18262, 9273, 476, 1556, 628, 7160, 676, 795, 2317, 522, 3149, 523, 1696, 620, 693, 936, 476, 1789, 29481, 269, 6481, 18262, 9273, 7160, 476, 1556, 2139, 538, 1957, 3724, 269, 5530, 3391, 609, 3732, 2055, 18262, 9819, 28671, 23078, 547, 519, 561, 335, 660, 334, 817, 1539, 622, 4110, 10816, 2102, 2720, 532, 1982, 1590, 3561, 28671, 967, 657, 720, 9819, 602, 568, 6697, 547, 519, 1543, 4988, 538, 562, 584, 476, 276, 563, 16215, 476, 272, 2596, 9819, 1983, 543, 4367, 547, 2564, 7245, 269, 1403, 596, 1131, 2864, 798, 2259, 2055, 1318, 1631, 267, 4945, 1934, 547, 979, 547, 2259, 2055, 269, 589, 2165, 602, 10039, 547, 519, 2039, 1063, 519, 5934, 2179, 540, 3075, 543, 519, 5021, 2179, 540, 3075, 2838, 547, 3132, 519, 269, 6481, 18262, 9273, 585, 546, 27186, 13475, 513, 6093, 18262, 9273, 1576, 543, 2488, 5363, 1543, 1570, 2326, 538, 606, 3839, 543, 2653, 339, 537, 2955, 3898, 269, 1280, 6030, 538, 2564, 18262, 9819, 538, 13623, 540, 8808, 267, 26849, 267, 840, 4364, 267, 2392, 1581, 267, 543, 824, 1072, 10459, 269, 901, 3762, 1152, 519, 1770, 540, 2268, 2877, 547, 12446, 693, 519, 2953, 18262, 269, 10684, 18262, 9273, 10351, 13860, 2146, 2852, 269, 12756, 3947, 596, 1896, 1095, 18587, 585, 596, 547, 2259, 1210, 519, 4542, 547, 5173, 519, 18262, 269, 769, 519, 4890, 562, 2193, 343, 267, 891, 1826, 540, 18262, 9273, 616, 2356, 30149, 607, 513, 6445, 514, 519, 10145, 2243, 1826, 269, 3143, 2339, 1018, 3355, 338, 596, 723, 1310, 707, 2012, 678, 333, 267, 524, 3534, 267, 17328, 267, 543, 865, 593, 267, 596, 666, 914, 596, 961, 1294, 2979, 593, 513, 3232, 4493, 952, 596, 516, 2469, 883, 610, 616, 2907, 538, 513, 4876, 538, 519, 2564, 2361, 269, 667, 657, 720, 9273, 267, 476, 280, 628, 7160, 476, 7818, 16960, 3445, 276, 279, 5325, 274, 524, 1263, 720, 269, 16711, 9273, 851, 1775, 568, 547, 1683, 1344, 827, 2596, 5013, 543, 3741, 540, 9273, 1644, 547, 24740, 1063, 1114, 6482, 1949, 269, 4391, 277, 476, 280, 3607, 476, 279, 2641, 476, 30444, 476, 22430, 476, 9083, 274, 476, 24798, 476, 14530, 279, 476, 6344, 476, 29300, 476, 12893, 273, 476, 30156, 476, 275, 4281, 476, 14530, 271, 476, 31003, 476, 12208, 276, 476, 4817, 280, 476, 6321, 278, 476, 29044, 476, 10219, 277, 476, 14695, 278, 476, 10482, 272, 476, 279, 4649, 476, 6795, 272, 476, 279, 6507, 476, 277, 2190, 476, 275, 866, 0, 1432, 568, 513, 3595, 3289, 7949, 15262, 888, 4322, 2947, 3723, 1279, 4017, 1120, 20199, 22203, 609, 14436, 13164, 948, 3595, 25881, 12398, 3289, 7847, 12617, 896, 6777, 538, 5162, 269, 1358, 948, 3595, 1212, 9749, 3533, 5544, 3289, 7847, 538, 519, 4158, 267, 538, 1022, 4365, 267, 693, 1022, 942, 540, 1032, 269, 2560, 595, 312, 8881, 15733, 3595, 3289, 7949, 12508, 616, 28489, 267, 17426, 543, 3810, 7298, 563, 1432, 568, 513, 3595, 3289, 7949, 13525, 5245, 888, 27650, 13525, 10824, 616, 6825, 609, 1079, 5036, 540, 2338, 269, 634, 1283, 1297, 3947, 519, 3845, 630, 514, 15432, 264, 689, 519, 6676, 547, 519, 3289, 7949, 543, 519, 5377, 1297, 3947, 519, 2450, 630, 514, 1984, 22015, 637, 264, 540, 519, 1216, 1292, 269, 8074, 281, 670, 1107, 10281, 7949, 585, 1494, 762, 1216, 563, 1692, 798, 596, 2697, 513, 3595, 3289, 7949, 888, 27852, 3289, 7949, 15262, 10824, 723, 513, 2699, 8473, 269, 4033, 1216, 3289, 7847, 949, 723, 513, 4544, 8473, 269, 589, 3154, 3289, 7949, 1131, 723, 513, 5835, 4282, 3079, 540, 513, 3043, 835, 585, 3595, 3289, 7847, 563, 1432, 568, 513, 3595, 3289, 7949, 1031, 585, 888, 5825, 539, 676, 23001, 16146, 1282, 513, 3595, 547, 2322, 856, 519, 26428, 267, 3595, 3289, 7847, 7500, 676, 3850, 707, 2199, 23001, 16146, 547, 3533, 7148, 883, 707, 1216, 10626, 779, 2046, 28962, 1216, 1062, 269, 634, 23001, 16146, 4894, 513, 30979, 610, 1079, 267, 3728, 523, 554, 4680, 547, 519, 1100, 26072, 543, 2490, 519, 11896, 547, 1205, 519, 1216, 13576, 563, 3963, 568, 972, 4017, 1120, 20199, 593, 3595, 3289, 7847, 888, 27852, 3289, 7847, 602, 616, 11593, 7298, 4217, 6595, 1212, 9749, 538, 14775, 547, 267, 543, 1121, 2664, 908, 11642, 3533, 269, 2560, 634, 5722, 3723, 267, 1164, 23724, 2225, 14436, 4017, 1120, 20199, 22203, 948, 6595, 1212, 9749, 3533, 543, 3362, 2697, 519, 14282, 1216, 2707, 543, 2744, 1454, 2877, 942, 538, 3478, 513, 3595, 896, 1852, 563, 2710, 649, 723, 3595, 3289, 7847, 538, 5245, 888, 7197, 8241, 3595, 3289, 7847, 616, 11895, 282, 513, 5614, 3289, 7949, 1826, 267, 543, 3289, 7949, 1129, 720, 568, 1271, 3274, 1317, 789, 616, 811, 10703, 4705, 982, 3289, 7847, 1336, 11992, 269, 9605, 3289, 7847, 991, 547, 14883, 547, 3595, 3106, 4170, 543, 10929, 2834, 4152, 676, 3608, 9605, 10466, 7896, 563, 9989, 5616, 7851, 1397, 3595, 3289, 7847, 888, 27852, 3289, 7847, 616, 711, 513, 4183, 602, 814, 1044, 25528, 676, 5616, 267, 543, 3976, 616, 711, 7298, 593, 519, 4786, 269, 2334, 1767, 267, 972, 723, 1044, 17573, 7418, 602, 723, 5116, 3289, 7847, 593, 519, 7851, 267, 855, 538, 1034, 2665, 1346, 723, 849, 1044, 6569, 563, 1432, 1281, 513, 5835, 3289, 7949, 1611, 888, 312, 3641, 6920, 602, 519, 1216, 2501, 689, 513, 1857, 3761, 1062, 269, 966, 14489, 1797, 519, 1216, 2501, 689, 513, 10720, 610, 11432, 269, 2755, 1034, 2127, 1246, 713, 2681, 10325, 267, 930, 3442, 547, 1118, 909, 741, 1378, 1062, 563, 8005, 568, 3743, 585, 3595, 3289, 7949, 4191, 888, 26222, 16958, 9605, 543, 1763, 26443, 7896, 616, 2356, 3743, 585, 519, 3289, 7949, 1129, 720, 602, 596, 1294, 1657, 2666, 269, 6519, 610, 15454, 9708, 609, 513, 4544, 8446, 6676, 616, 519, 5539, 540, 519, 4826, 7577, 563, 3963, 616, 3595, 3289, 7847, 1114, 4778, 888, 763, 25568, 540, 3289, 7847, 616, 13556, 538, 4778, 547, 5815, 875, 1454, 2095, 789, 666, 3132, 538, 17529, 829, 8792, 630, 326, 10975, 1040, 2368, 4587, 3289, 7847, 723, 1044, 556, 5035, 1881, 547, 513, 1114, 2095, 12773, 269, 2560, 2353, 968, 23325, 892, 543, 968, 16675, 892, 3289, 7847, 616, 849, 1373, 18175, 24612, 609, 2656, 31028, 3514, 14005, 563, 1692, 798, 596, 946, 513, 3595, 3289, 7949, 888, 1692, 1677, 7046, 589, 9605, 10281, 7949, 630, 10214, 2060, 589, 24522, 994, 268, 3399, 676, 887, 4771, 1055, 519, 1858, 1472, 621, 269, 6693, 268, 28018, 519, 3595, 3289, 7949, 269, 6693, 268, 1403, 972, 568, 513, 1883, 267, 7696, 621, 883, 519, 1883, 23649, 547, 1930, 519, 3289, 7949, 11896, 269, 6693, 268, 1879, 596, 616, 8737, 563, 3963, 616, 930, 3595, 3289, 7847, 8988, 888, 763, 4778, 20301, 875, 1454, 1216, 513, 1880, 3289, 7949, 666, 1683, 538, 17529, 829, 8792, 630, 294, 15014, 1040, 2560, 12722, 6052, 16958, 3289, 7847, 1246, 519, 5227, 29458, 5183, 7822, 32017, 585, 2095, 543, 519, 7550, 669, 4435, 8988, 585, 3289, 7949, 1560, 2681, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 538, 1082, 9413, 267, 2835, 267, 543, 15882, 269, 1284, 1810, 1405, 991, 547, 1350, 528, 1518, 519, 6406, 2782, 538, 799, 865, 1082, 4892, 5747, 593, 1312, 5011, 269, 594, 8969, 952, 649, 2811, 2469, 547, 7340, 519, 6406, 2782, 585, 1082, 1082, 1296, 267, 32198, 676, 519, 18094, 543, 32134, 540, 3043, 29686, 543, 2462, 582, 787, 1256, 267, 15151, 267, 538, 519, 6519, 5600, 269, 594, 1810, 1405, 1589, 26911, 4837, 9486, 1350, 528, 4328, 519, 6406, 2782, 4866, 538, 1022, 5939, 269, 3807, 1250, 6644, 269, 594, 729, 6659, 538, 519, 3162, 267, 855, 594, 729, 13473, 607, 547, 519, 2887, 9313, 1373, 6026, 543, 5030, 538, 1082, 4025, 538, 519, 3162, 910, 594, 3494, 649, 616, 782, 2813, 3160, 910, 20231, 269, 1656, 18864, 568, 811, 3160, 982, 4896, 3116, 267, 607, 1250, 4651, 1031, 547, 1566, 710, 267, 11469, 538, 32336, 2483, 14188, 596, 269, 594, 6415, 1434, 269, 27975, 569, 2937, 532, 1934, 563, 2791, 4951, 707, 9186, 543, 4503, 782, 17258, 950, 596, 1767, 972, 729, 834, 19009, 29686, 543, 2462, 582, 787, 257, 538, 519, 3043, 5264, 269, 1975, 15105, 6013, 3079, 540, 5013, 568, 711, 1373, 606, 2937, 269, 12700, 3717, 594, 993, 2386, 972, 568, 513, 2462, 582, 538, 1169, 7245, 2094, 519, 4098, 269, 4634, 538, 15525, 781, 563, 2791, 2811, 1318, 267, 25595, 269, 634, 1152, 2601, 789, 3323, 3771, 4771, 593, 3043, 29686, 729, 1317, 519, 834, 305, 17892, 27148, 257, 8952, 13031, 811, 13897, 593, 24273, 982, 519, 11686, 7245, 267, 865, 789, 3323, 3771, 4771, 593, 621, 547, 31818, 3007, 689, 2933, 267, 543, 891, 29186, 619, 616, 24948, 13622, 267, 1899, 267, 543, 16173, 518, 269, 2701, 14659, 670, 14684, 568, 24534, 1317, 646, 781, 513, 8284, 1606, 27462, 563, 2735, 275, 568, 1934, 267, 513, 512, 611, 3735, 855, 1934, 563, 1692, 1281, 713, 9305, 547, 476, 2735, 275, 286, 901, 729, 711, 538, 1022, 1259, 513, 2229, 2962, 269, 901, 568, 513, 4357, 3919, 4171, 12044, 1560, 1500, 606, 5483, 3375, 563, 5445, 1500, 513, 9269, 6879, 527, 3375, 267, 855, 594, 13842, 26911, 4837, 9486, 543, 594, 13842, 3032, 1117, 23552, 19037, 269, 1358, 616, 20375, 547, 7301, 4984, 269, 1358, 8300, 27527, 547, 519, 2679, 267, 543, 1346, 945, 17982, 873, 267, 3079, 540, 519, 12389, 2696, 267, 538, 1250, 18803, 6644, 563, 16100, 585, 8373, 543, 596, 3513, 1265, 621, 269, 6733, 585, 513, 2601, 543, 596, 3513, 1265, 621, 269, 1684, 649, 2731, 917, 519, 1686, 540, 519, 6406, 2782, 286, 1684, 649, 2731, 723, 519, 1620, 547, 2161, 621, 729, 1152, 267, 1152, 1813, 547, 8474, 286, 1924, 1373, 1291, 1472, 676, 707, 562, 4680, 269, 2859, 982, 3368, 540, 519, 3618, 1869, 814, 8474, 269, 3013, 729, 835, 540, 519, 1101, 547, 7979, 1177, 621, 543, 519, 5087, 1185, 10437, 2484, 1310, 519, 6406, 2782, 269, 634, 4102, 10553, 18318, 543, 9742, 619, 941, 540, 3979, 22510, 269, 3502, 547, 2446, 3864, 1004, 941, 10437, 607, 1134, 269, 3502, 1152, 538, 3013, 269, 3502, 6031, 602, 519, 6406, 2782, 610, 8474, 7012, 1405, 267, 3884, 1405, 29695, 267, 2943, 713, 568, 1175, 899, 4984, 543, 519, 11156, 269, 15213, 540, 4984, 267, 711, 689, 4984, 269, 15213, 540, 4082, 267, 711, 689, 4082, 269, 3733, 22516, 2141, 1767, 547, 1832, 707, 9224, 856, 540, 824, 1004, 781, 1870, 269, 1924, 952, 649, 1810, 1405, 2661, 972, 6902, 344, 788, 834, 8117, 339, 856, 10590, 1577, 781, 2119, 711, 547, 1448, 547, 606, 3390, 538, 513, 2942, 1259, 269, 2913, 781, 581, 9684, 995, 649, 4121, 689, 938, 2250, 543, 8956, 519, 2242, 649, 1500, 543, 519, 2729, 4503, 547, 1689, 269, 4634, 676, 2348, 18189, 338, 540, 621, 269, 700, 1115, 798, 1018, 568, 1985, 563, 31690, 11181, 4941, 547, 13373, 880, 8474, 538, 2486, 543, 2813, 519, 19412, 18818, 17203, 540, 519, 2136, 2276, 11156, 547, 1118, 8474, 606, 12250, 1242, 10751, 563, 8002, 1302, 12493, 4941, 547, 6494, 519, 10437, 782, 1394, 547, 4000, 269, 9741, 568, 1767, 540, 602, 2856, 602, 729, 538, 519, 1568, 454, 17798, 519, 2197, 267, 8644, 4997, 267, 799, 568, 1869, 8185, 3238, 538, 10553, 4123, 547, 713, 1554, 269, 715, 14566, 5716, 5749, 1405, 9054, 9934, 1317, 540, 8946, 2969, 563, 309, 1112, 15501, 540, 32043, 6260, 267, 10726, 902, 267, 25711, 267, 7142, 4074, 267, 543, 2713, 538, 2083, 20321, 7890, 13122, 910, 9811, 267, 789, 1058, 581, 15685, 689, 741, 11800, 543, 8120, 547, 741, 1378, 5321, 563, 4415, 606, 3284, 1108, 267, 543, 1065, 25730, 563, 5445, 941, 782, 9601, 540, 7372, 6760, 563, 303, 11691, 585, 741, 3560, 1394, 1753, 543, 556, 23478, 873, 609, 2645, 2073, 14074, 267, 2326, 267, 543, 8105, 2831, 543, 5452, 1131, 581, 519, 4098, 540, 5126, 563, 296, 6415, 1175, 7996, 585, 8946, 2969, 15224, 547, 979, 1985, 256, 700, 684, 2329, 563, 8489, 616, 649, 2469, 286, 1403, 649, 4894, 519, 24112, 267, 26911, 3766, 20199, 9486, 267, 1018, 781, 1985, 286, 634, 8751, 2125, 540, 519, 32148, 22307, 4536, 286, 901, 568, 744, 7838, 1686, 269, 634, 1686, 540, 744, 7838, 1390, 13780, 256, 1403, 649, 1832, 9427, 519, 20375, 267, 649, 32135, 875, 938, 13780, 729, 3710, 267, 649, 15093, 519, 3965, 540, 519, 1004, 945, 5795, 741, 2729, 585, 938, 5191, 269, 1548, 798, 649, 723, 2451, 888, 296, 666, 1174, 519, 1928, 602, 891, 949, 1611, 547, 1004, 267, 855, 547, 1332, 267, 649, 991, 547, 3068, 519, 1928, 540, 519, 2250, 547, 1332, 883, 519, 2104, 269, 1403, 649, 11716, 1018, 814, 5949, 538, 519, 2250, 649, 616, 798, 15701, 547, 1118, 519, 1482, 9073, 269, 594, 666, 1294, 1100, 2631, 538, 9427, 873, 563, 31690, 11181, 4941, 547, 13373, 880, 8474, 538, 2486, 543, 2813, 519, 19412, 18818, 17203, 540, 519, 2136, 2276, 11156, 547, 1118, 8474, 606, 12250, 1242, 10751, 563, 8002, 1302, 267, 12493, 7012, 1405, 3168, 547, 13373, 880, 8474, 267, 646, 1175, 4941, 547, 1118, 2386, 602, 621, 4769, 1405, 3262, 1022, 2417, 269, 7102, 3118, 267, 8474, 729, 4098, 547, 13373, 880, 3294, 607, 930, 945, 11262, 10437, 941, 1863, 532, 873, 538, 741, 786, 338, 610, 8227, 781, 1920, 2818, 945, 941, 1996, 8474, 543, 1863, 532, 873, 593, 519, 8227, 781, 2669, 563, 21809, 1132, 267, 20375, 267, 16560, 9486, 267, 29693, 13196, 543, 824, 3688, 602, 8661, 519, 28583, 2329, 798, 711, 4866, 538, 1857, 5624, 1510, 3246, 3140, 2796, 547, 2491, 1018, 789, 2099, 543, 24223, 1018, 5949, 547, 938, 2197, 1317, 540, 519, 705, 558, 1588, 540, 513, 7292, 569, 2861, 1062, 540, 8474, 269, 1452, 20375, 798, 4866, 538, 513, 9754, 734, 933, 798, 991, 547, 8275, 875, 9244, 519, 10182, 540, 10168, 543, 3043, 29686, 3788, 547, 713, 1554, 269, 1284, 991, 547, 581, 2111, 547, 1294, 875, 865, 1082, 521, 719, 615, 2996, 723, 6836, 547, 556, 17942, 13133, 543, 556, 12413, 710, 519, 2601, 585, 519, 6406, 2782, 607, 513, 4339, 585, 834, 8063, 781, 2924, 1701, 1924, 649, 1058, 2322, 891, 29693, 13196, 543, 20375, 538, 513, 9754, 543, 1683, 28706, 2796, 563, 3719, 891, 20375, 798, 711, 4866, 856, 593, 519, 8265, 610, 538, 824, 1857, 5624, 269, 9861, 538, 1857, 5624, 10522, 1489, 585, 1018, 789, 2099, 734, 338, 18561, 267, 3043, 29686, 267, 18326, 543, 2687, 547, 519, 2475, 9139, 267, 1726, 1783, 630, 339, 1136, 909, 7916, 1996, 519, 7330, 1040, 4208, 1058, 649, 15597, 8956, 10168, 267, 18326, 543, 1726, 1783, 286, 1403, 596, 3442, 547, 8956, 519, 20752, 18326, 610, 3043, 29686, 596, 666, 798, 621, 538, 519, 7834, 540, 707, 1378, 1753, 267, 855, 711, 538, 1857, 269, 1656, 547, 513, 1804, 6871, 540, 4892, 267, 519, 4159, 540, 20752, 3688, 568, 29832, 755, 532, 267, 813, 16226, 543, 29405, 532, 267, 13974, 547, 875, 7642, 2070, 519, 13303, 9206, 563, 5475, 14710, 540, 519, 21647, 267, 5125, 7979, 31090, 519, 4159, 540, 13303, 17514, 610, 824, 3688, 2404, 609, 21647, 267, 1519, 3257, 519, 13303, 2892, 1393, 269, 13303, 3401, 941, 6836, 543, 26722, 607, 2112, 20737, 269, 634, 7330, 1705, 711, 979, 865, 2484, 607, 547, 7979, 1177, 519, 20752, 9206, 610, 824, 3688, 543, 1705, 711, 2322, 519, 30280, 593, 4693, 630, 24392, 1082, 7187, 3401, 1185, 29739, 602, 713, 581, 519, 2013, 264, 855, 519, 1249, 602, 519, 2152, 540, 8474, 543, 11528, 10168, 616, 1869, 1373, 23503, 543, 4929, 2042, 476, 5611, 1296, 1310, 519, 6406, 2782, 5267, 602, 5310, 519, 2229, 540, 519, 7330, 729, 2484, 1932, 9543, 609, 519, 1726, 1783, 748, 30280, 1310, 519, 28583, 2329, 729, 17204, 17740, 3320, 543, 1147, 16781, 1229, 269, 2368, 949, 8044, 602, 2870, 20375, 547, 519, 18326, 1058, 723, 1044, 1500, 10363, 538, 519, 1101, 1747, 563, 21156, 540, 8062, 543, 4031, 1373, 1500, 1310, 519, 2112, 267, 14062, 12493, 4941, 519, 4182, 547, 12115, 269, 1261, 29739, 602, 649, 31799, 267, 556, 1532, 4265, 543, 2119, 547, 12115, 519, 2197, 602, 729, 865, 3423, 1836, 14324, 6306, 1547, 2561, 30068, 1010, 6999, 585, 7067, 713, 5258, 2197, 814, 2760, 1044, 24009, 563, 31690, 11181, 4941, 547, 13373, 880, 8474, 538, 2486, 543, 2813, 519, 19412, 18818, 17203, 540, 519, 2136, 2276, 11156, 547, 1118, 8474, 606, 12250, 1242, 10751, 454, 31690, 11181, 4941, 547, 13373, 880, 8474, 538, 2486, 543, 2813, 519, 19412, 18818, 17203, 540, 519, 2136, 2276, 11156, 547, 1118, 8474, 606, 12250, 1242, 10751, 563, 2414, 1018, 1439, 798, 596, 14578, 2759, 543, 13594, 888, 25802, 1434, 21658, 269, 3143, 835, 814, 5018, 519, 1249, 602, 1034, 540, 891, 9486, 543, 24112, 941, 25517, 538, 519, 476, 4198, 271, 338, 269, 594, 723, 1100, 1966, 5329, 20375, 25517, 1318, 1310, 519, 6406, 2782, 269, 1548, 941, 1250, 3237, 3206, 538, 519, 476, 4198, 271, 338, 286, 594, 6415, 2386, 789, 1705, 711, 5077, 519, 14077, 540, 5449, 10437, 269, 901, 729, 849, 513, 942, 950, 519, 7128, 1223, 10726, 596, 2394, 596, 21334, 539, 1256, 952, 596, 941, 17608, 269, 2368, 540, 602, 18387, 1405, 4957, 2901, 269, 6875, 873, 1524, 563, 5591, 267, 594, 798, 711, 3858, 609, 8851, 540, 3331, 485, 517, 325, 539, 4733, 2592, 607, 789, 723, 562, 4381, 547, 798, 609, 10168, 855, 694, 20896, 269, 634, 6406, 2782, 729, 711, 10692, 585, 8474, 269, 1656, 585, 602, 2339, 8474, 729, 513, 5001, 2804, 4641, 585, 27740, 525, 593, 27740, 525, 849, 269, 1677, 4894, 2592, 568, 3834, 665, 15560, 267, 588, 25634, 3278, 590, 719, 615, 2996, 267, 543, 2306, 1085, 1901, 2998, 1846, 540, 519, 3162, 538, 519, 3068, 540, 543, 1996, 3140, 4641, 269, 634, 5783, 2306, 3294, 883, 513, 561, 3511, 607, 519, 28583, 919, 941, 13348, 1824, 602, 519, 824, 4525, 540, 519, 2136, 2276, 941, 8957, 267, 543, 602, 891, 2592, 11609, 21047, 543, 711, 519, 4655, 519, 5783, 568, 6031, 568, 8404, 540, 741, 3527, 267, 855, 538, 6587, 519, 2592, 616, 11347, 540, 21047, 543, 7067, 540, 519, 678, 3424, 538, 519, 4182, 267, 543, 711, 900, 21793, 952, 10168, 855, 20301, 19969, 540, 519, 28583, 919, 269, 4475, 596, 1522, 607, 1134, 4894, 519, 2679, 1317, 596, 616, 22973, 547, 17982, 5126, 267, 607, 621, 568, 513, 6968, 1996, 20752, 513, 2889, 1842, 543, 4986, 547, 798, 827, 5939, 9496, 902, 610, 17514, 1031, 538, 971, 1919, 855, 568, 4550, 268, 18183, 17660, 4733, 543, 4636, 532, 519, 1004, 538, 741, 30401, 676, 21458, 873, 538, 513, 7803, 1259, 269, 1684, 596, 7340, 10598, 19172, 28583, 919, 7790, 5221, 3976, 2962, 568, 14084, 896, 13429, 28583, 919, 941, 711, 27740, 525, 543, 621, 19082, 519, 6013, 602, 20752, 2592, 616, 8957, 538, 1816, 4369, 950, 538, 1249, 519, 4550, 268, 18183, 25005, 919, 6095, 1676, 930, 1871, 540, 13842, 544, 784, 619, 538, 32711, 4926, 1996, 12102, 28583, 919, 602, 11542, 909, 547, 519, 11648, 2136, 2276, 1119, 7847, 543, 6237, 7022, 12493, 865, 602, 519, 6406, 2782, 729, 3148, 1996, 3148, 711, 827, 8474, 4849, 930, 7187, 1004, 1223, 711, 3489, 10437, 267, 799, 729, 782, 4778, 267, 543, 891, 3527, 12927, 561, 1221, 538, 2486, 827, 1686, 540, 8474, 267, 513, 3109, 593, 3109, 10661, 2073, 607, 952, 621, 941, 28583, 919, 602, 538, 7007, 8474, 267, 865, 602, 519 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 318, 12296, 454, 3546, 952, 2680, 269, 4486, 2652, 27368, 14389, 32707, 32052, 912, 7386, 1535, 318, 4219, 815, 476, 271, 454, 7386, 586, 318, 4219, 815, 13131, 318, 12296, 454, 1038, 1535, 272, 6834, 1535, 318, 4219, 454, 1038, 586, 272, 6834, 586, 318, 4219, 692, 1038, 952, 1535, 272, 13843, 4159, 13448, 610, 1535, 272, 10922, 476, 271, 610, 586, 272, 13843, 4159, 14729, 610, 586, 272, 10922, 476, 271, 912, 2018, 3014, 815, 8771, 692, 1038, 952, 1496, 343, 272, 267, 586, 272, 316, 538, 13131, 314, 272, 281, 14158, 2018, 3014, 815, 8771, 692, 1038, 952, 1535, 272, 2652, 1426, 13448, 543, 586, 272, 2652, 1426, 14729, 912, 2018, 1426, 13448, 267, 1426, 14729, 815, 28219, 6958, 797, 4590, 2018, 13131, 28747, 6834, 476, 272, 692, 1038, 6885, 8807, 650, 263, 19009, 994, 1038, 13131, 27044, 263, 271, 267, 1496, 343, 272, 267, 586, 272, 7481, 1038, 952, 7003, 4433, 333, 820, 264, 3436, 13131, 28747, 912, 2018, 13131, 21014, 10797, 1038, 585, 1591, 538, 13131, 912, 2018, 27368, 6155, 3863, 269, 5550, 263, 30720, 267, 2699, 267, 1496, 3250, 314, 271, 3910, 1591, 314, 272, 3910, 13131, 318, 12296, 267, 13131, 318, 12296, 7481, 1038, 27368, 6155, 3863, 269, 5550, 263, 30720, 267, 4544, 267, 1496, 25988, 13448, 267, 1426, 14729, 267, 13131, 318, 12296, 267, 13131, 318, 12296, 7481, 1038, 6060, 12759, 4433, 333, 820, 264, 910, 476, 272, 994, 1038, 27368, 269, 5891, 269, 26303, 10797, 1038, 952, 13131, 28747, 10922, 476, 274, 912, 2018, 942, 4732, 2748, 263, 269, 272, 994, 1038, 8640, 13131, 28747, 10922, 476, 1015, 912, 2018, 942, 4732, 2748, 263, 269, 6021, 994, 1038, 8640, 13131, 28747, 10922, 476, 736, 912, 2018, 942, 4732, 2748, 263, 269, 5400, 994, 1038, 3116, 912, 2018, 942, 4732, 2748, 263, 269, 5881, 2020, 825, 27368, 269, 10181, 4590, 825, 16718, 30800, 18524, 318, 31467, 4590, 0, 26611, 23591, 24800, 19841, 341, 9226, 274, 454, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 12163, 32046, 593, 570, 826, 4455, 476, 476, 278, 476, 866, 281, 2918, 281, 4905, 476, 1708, 271, 692, 287, 10461, 281, 5857, 12534, 514, 1137, 327, 454, 20701, 5814, 556, 692, 3698, 547, 318, 15615, 30415, 293, 5979, 520, 2187, 825, 952, 556, 26098, 718, 19629, 323, 2580, 5569, 293, 5979, 520, 2187, 1038, 1871, 815, 834, 346, 15545, 273, 325, 348, 2668, 8971, 263, 15615, 263, 516, 16553, 263, 3299, 12887, 3299, 11415, 293, 5979, 520, 21875, 825, 3116, 281, 3097, 1038, 1871, 815, 10581, 263, 271, 994, 825, 2132, 1871, 692, 258, 13129, 281, 4179, 2517, 325, 601, 760, 699, 2998, 3052, 603, 889, 269, 1470, 270, 24108, 270, 1001, 277, 270, 5400, 270, 1015, 270, 7563, 16165, 6363, 4233, 24493, 6261, 3155, 454, 258, 901, 1599, 2301, 1846, 519, 7623, 1719, 454, 3698, 524, 698, 337, 263, 13092, 20059, 618, 267, 2132, 19368, 267, 2165, 1103, 312, 8986, 2187, 825, 952, 263, 13092, 20059, 618, 2999, 476, 272, 610, 2165, 1103, 312, 8986, 2525, 271, 2187, 1038, 1820, 2891, 2207, 305, 3036, 281, 476, 271, 26318, 11402, 538, 524, 698, 337, 269, 3312, 20059, 618, 281, 15079, 1299, 2165, 1103, 312, 8986, 281, 15079, 2668, 8971, 263, 13092, 20059, 618, 267, 2165, 1103, 312, 8986, 4917, 1038, 2132, 476, 271, 454, 825, 595, 8980, 305, 815, 16733, 8873, 19368, 5924, 580, 1400, 20059, 618, 264, 1262, 263, 272, 270, 3410, 1103, 312, 8986, 9984, 272, 264, 2608, 476, 1911, 454, 825, 2132, 834, 346, 281, 276, 269, 273, 325, 348, 2668, 8971, 263, 7563, 16165, 994, 8931, 258, 26705, 1154, 10581, 2338, 269, 1656, 21338, 476, 273, 8918, 4025, 563, 3698, 535, 325, 31198, 10857, 784, 293, 5979, 520, 2187, 825, 2132, 834, 346, 15545, 273, 325, 348, 2668, 8971, 10857, 784, 293, 5979, 520, 9239, 258, 1820, 6262, 698, 337, 263, 31798, 269, 1691, 267, 28242, 269, 10463, 267, 273, 4917, 258, 1820, 6262, 698, 337, 263, 1015, 267, 28242, 269, 10463, 267, 271, 4917, 258, 1820, 263, 1729, 318, 15615, 3488, 1556, 269, 31229, 31229, 31229, 279, 29125, 258, 1820, 263, 742, 31198, 263, 3451, 269, 6321, 272, 16960, 280, 1240, 4281, 275, 275, 4297, 0, 3698, 4783, 16597, 2187, 825, 1699, 815, 1239, 314, 271, 2639, 825, 1293, 815, 476, 272, 454, 825, 1267, 815, 834, 4840, 825, 585, 524, 538, 1239, 314, 272, 281, 14158, 1038, 952, 524, 11203, 1699, 912, 2018, 1267, 6834, 834, 260, 323, 260, 338, 257, 4939, 630, 12248, 267, 1699, 994, 2018, 1293, 815, 476, 272, 454, 2018, 1699, 815, 524, 454, 1038, 3116, 912, 2018, 1293, 6834, 476, 272, 454, 825, 1267, 6834, 834, 260, 323, 260, 338, 257, 4939, 630, 12248, 267, 1699, 994, 825, 2132, 1267, 692, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 609, 1930, 2891, 6358, 17902, 8442, 607, 535, 327, 912, 1038, 1239, 815, 535, 327, 18667, 4590, 825, 1101, 815, 1239, 454, 825, 585, 9041, 538, 2039, 263, 2412, 2187, 1038, 1101, 815, 4783, 6600, 1009, 994, 825, 1820, 2891, 8512, 476, 272, 281, 4939, 323, 257, 4939, 7003, 6600, 1009, 4917, 825, 2034, 815, 1239, 454, 825, 585, 9041, 538, 2039, 263, 2004, 2187, 1038, 2034, 815, 4783, 263, 16149, 994, 825, 1820, 2891, 8512, 476, 273, 281, 4939, 323, 257, 4939, 7003, 263, 16149, 4917 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6929, 631, 269, 8845, 267, 4010, 907, 1107, 1109, 343, 534, 3057, 476, 1015, 1412, 1321, 693, 476, 866, 281, 3393, 454, 287, 289, 6929, 300, 2529, 22574, 281, 7937, 1862, 2986, 1576, 952, 621, 781, 519, 3364, 547, 6961, 594, 3513, 4894, 1250, 3105, 6085, 1862, 594, 2219, 621, 729, 519, 1985, 1900, 1210, 519, 3105, 1267, 711, 519, 1482, 1862, 1107, 1109, 305, 599, 12107, 2494, 345, 18223, 3057, 476, 1015, 1412, 1321, 693, 476, 866, 281, 4366, 454, 296, 4312, 1175, 1500, 621, 12863, 547, 1106, 281, 18159, 330, 266, 272, 9385, 3847, 28381, 1422, 8218, 15204, 2410, 322, 348, 333, 11138, 330, 17910, 15204, 348, 1422, 2431, 315, 4153, 3847, 28381, 1422, 8218, 15204, 2410, 322, 348, 333, 11138, 330, 268, 272, 17910, 15204, 348, 1422, 2431, 315, 348, 910, 263, 330, 266, 272, 9385, 3847, 28381, 1422, 8218, 15204, 2410, 322, 348, 333, 11138, 330, 268, 273, 17910, 15204, 348, 1422, 2431, 315, 4153, 3847, 28381, 1422, 8218, 15204, 2410, 322, 348, 333, 11138, 330, 266, 272, 17910, 15204, 348, 1422, 2431, 315, 23180, 3847, 28381, 1422, 8218, 15204, 2410, 322, 348, 333, 11138, 330, 268, 272, 17910, 15204, 348, 1422, 2431, 315, 4153, 3847, 28381, 1422, 8218, 15204, 2410, 322, 348, 333, 11138, 330, 266, 272, 17910, 15204, 348, 1422, 2431, 315, 348, 285, 271, 8961, 855, 594, 5855, 713, 568, 711, 519, 1439, 907, 1107, 1109, 343, 534, 3057, 476, 1015, 1412, 1321, 693, 476, 2641, 281, 2918, 0, 28090, 344, 6958, 944, 781, 5816, 692, 3528, 1109, 28090, 344, 6958, 944, 267, 476, 278, 4374, 3516, 10484, 11693, 513, 3529, 267, 1265, 10758, 540, 519, 2619, 1063, 1079, 9136, 630, 340, 267, 341, 6393, 1692, 547, 798, 621, 1210, 9352, 17666, 286, 630, 8923, 2671, 707, 3009, 952, 596, 2811, 2111, 547, 798, 621, 2020, 1892, 1341, 1556, 692, 9732, 476, 278, 4374, 3516, 267, 1948, 1923, 5231, 476, 271, 1403, 596, 2731, 1174, 519, 2473, 3036, 851, 1775, 21645, 917, 1946, 596, 723, 606, 3390, 609, 519, 10758, 851, 269, 1955, 7168, 2386, 596, 1175, 946, 519, 3169, 1482, 7954, 454, 1892, 476, 9732, 9732, 476, 278, 4374, 3516, 267, 1948, 9745, 1923, 7602, 494, 4860, 269, 476, 274, 9890, 5231, 1341, 274, 634, 2473, 3036, 540, 2619, 666, 581, 7229, 1210, 281, 5901, 1535, 528, 540, 1169, 6843, 689, 519, 3597, 538, 1535, 528, 26514, 5044, 269, 1535, 528, 815, 1535, 528, 314, 340, 316, 9745, 1535, 528, 314, 341, 316, 9745, 1871, 314, 331, 8619, 26086, 267, 642, 264, 3910, 1775, 7058, 269, 7490, 1577, 803, 917, 952, 594, 993, 4636, 563, 1892, 476, 9732, 9732, 9732, 476, 278, 4374, 3516, 267, 1948, 9745, 1923, 5231, 1341, 275, 8786, 267, 713, 1505, 1568, 585, 2473, 3036, 855, 711, 585, 10758, 269, 1548, 1568, 585, 10758, 568, 519, 9352, 17666, 596, 5018, 593, 519, 5816, 269, 1403, 596, 917, 1269, 329, 2794, 25208, 6012, 328, 316, 259, 1373, 519, 10758, 1871, 540, 2469, 1269, 273, 317, 330, 259, 20733, 538, 519, 3529, 4358, 689, 1269, 328, 8961, 1287, 596, 666, 1175, 5173, 519, 2619, 689, 1312, 579, 543, 642, 547, 519, 561, 8619, 540, 873, 538, 1269, 302, 263, 8421, 3799, 4297, 14204, 1892, 476, 9732, 9732, 9732, 9732, 476, 278, 4374, 3516, 267, 1948, 9745, 1923, 7602, 494, 4860, 269, 476, 273, 9890, 5231, 1341, 274, 19850, 267, 8729, 513, 2603, 585, 519, 16253, 269, 2052, 596, 5225, 2671, 519, 3009, 286, 594, 993, 12758, 593, 713, 1966, 267, 543, 594, 993, 1007, 547, 9352, 17666, 1523, 269, 1809, 713, 729, 4280, 538, 2487, 1449, 540, 9553, 267, 865, 594, 1616, 547, 917, 875, 547, 798, 891, 1826, 540, 2055, 563, 1892, 476, 9732, 9732, 9732, 9732, 9732, 476, 278, 4374, 3516, 267, 1948, 9745, 1923, 5231, 476, 271, 3371, 568, 513, 3009, 1175, 585, 1018, 568, 1644, 547, 519, 9352, 17666, 630, 328, 1705, 660, 1224, 4376, 543, 1705, 660, 5173, 930, 8631, 2567, 23840, 258, 514, 2850, 1948, 3698, 710, 544, 335, 1118, 7272, 1515, 1948, 3698, 710, 544, 339, 1118, 4671, 340, 921, 1948, 3698, 710, 782, 3287, 264, 1535, 269, 8218, 19572, 1535, 269, 754, 3890, 1948, 3698, 710, 535, 325, 1101, 1948, 3698, 710, 521, 338, 2034, 1210, 4408, 10628, 31901, 282, 10959, 1210, 5119, 815, 6152, 285, 282, 29921, 1030, 5667, 11220, 703, 579, 842, 282, 29921, 1030, 5667, 11220, 1279, 1279, 579, 961, 282, 29921, 1030, 1279, 1279, 26270, 282, 29921, 1030, 6292, 533, 4512, 282, 29921, 1030, 6292, 726, 331, 282, 1526, 26270, 5442, 14566, 815, 630, 272, 17247, 28843, 7830, 9984, 272, 282, 1526, 703, 5442, 293, 815, 630, 272, 28843, 1789, 9984, 272, 282, 1526, 5595, 661, 4916, 815, 476, 272, 324, 268, 278, 282, 1526, 703, 26827, 815, 476, 272, 324, 280, 1341, 476, 278, 282, 1526, 703, 10790, 311, 301, 815, 476, 272, 324, 277, 266, 272, 282, 703, 1292, 3890, 346, 1775, 657, 10734, 848, 15311, 27675, 322, 318, 5976, 14067, 323, 1470, 6600, 4426, 5148, 14557, 6745, 773, 3799, 1638, 696, 337, 5148, 703, 562, 282, 6152, 642, 3799, 5148, 12262, 1871, 540, 1775, 267, 596, 1224, 713, 5119, 1612, 263, 736, 267, 19066, 3799, 4297, 282, 12262, 9977, 540, 1775, 267, 2469, 476, 273, 317, 330, 20733, 689, 1775, 269, 12433, 1612, 314, 271, 6012, 328, 316, 609, 546, 12028, 25656, 269, 634, 2385, 540, 519, 3597, 568, 3294, 585, 12410, 1466, 6152, 4463, 3799, 5148, 12262, 849, 5173, 713, 998, 546, 12028, 5119, 7914, 263, 736, 267, 19066, 3799, 4297, 282, 12262, 10758, 1871, 540, 17259, 476, 273, 317, 330, 20733, 689, 1775, 585, 17301, 1775, 815, 476, 272, 282, 1775, 2999, 476, 736, 282, 1775, 10030, 264, 346, 585, 17301, 795, 815, 476, 271, 282, 795, 2999, 562, 282, 795, 10030, 264, 346, 1612, 5157, 6012, 329, 316, 815, 1612, 5157, 268, 272, 6012, 1706, 5157, 268, 272, 6012, 329, 14963, 282, 7684, 7684, 585, 17301, 1775, 815, 476, 271, 282, 1775, 2999, 562, 282, 1775, 10030, 264, 7914, 314, 271, 6012, 328, 316, 815, 642, 5157, 316, 347, 341, 314, 1706, 314, 271, 6012, 328, 14963, 282, 585, 17301, 1775, 815, 476, 272, 282, 1775, 2999, 476, 736, 282, 1775, 10030, 264, 346, 585, 17301, 795, 815, 476, 271, 282, 795, 2999, 562, 282, 795, 10030, 264, 346, 7914, 5157, 6012, 329, 316, 815, 7914, 5157, 268, 272, 6012, 329, 2794, 5157, 268, 272, 6012, 329, 14963, 282, 7684, 7684, 1599, 561, 8619, 815, 314, 261, 28488, 842, 513, 267, 703, 536, 264, 346, 952, 263, 19417, 314, 320, 316, 2999, 4463, 314, 321, 8079, 346, 23396, 5416, 14720, 5148, 7684, 703, 546, 815, 4463, 314, 320, 316, 268, 19417, 314, 321, 22049, 703, 1365, 815, 642, 314, 320, 316, 347, 341, 314, 321, 22049, 1247, 5560, 264, 346, 12262, 649, 616, 17259, 689, 513, 547, 3160, 1125, 519, 4463, 540, 513, 543, 536, 267, 4358, 689, 519, 2547, 1713, 3787, 540, 741, 3017, 703, 795, 636, 680, 523, 724, 339, 815, 6449, 321, 16742, 514, 318, 551, 345, 5560, 5148, 12262, 713, 7024, 519, 2547, 1713, 3787, 538, 546, 269, 585, 1383, 585, 519, 9352, 1871, 476, 6200, 876, 621, 7024, 476, 273, 1365, 347, 284, 329, 2794, 14728, 636, 680, 523, 724, 339, 6012, 320, 22049, 513, 815, 1612, 14728, 636, 680, 523, 724, 339, 6012, 320, 22049, 546, 268, 284, 323, 261, 268, 323, 282, 12262, 21645, 917, 952, 596, 516, 5432, 609, 713, 269, 713, 2144, 1162, 519, 2547, 1713, 3787, 689, 546, 269, 7684, 952, 5416, 2652, 536, 264, 346, 2132, 1365, 282, 7684, 585, 17301, 1775, 815, 476, 866, 282, 1775, 13843, 476, 271, 282, 1775, 734, 264, 346, 952, 263, 1706, 5157, 6012, 320, 316, 11203, 1612, 5157, 6012, 321, 8079, 1365, 347, 284, 329, 2794, 5157, 6012, 320, 316, 347, 329, 2794, 5157, 6012, 321, 3910, 513, 815, 1612, 5157, 6012, 320, 3910, 536, 815, 1612, 5157, 6012, 321, 22049, 7684, 2132, 1365, 347, 329, 2794, 314, 271, 6012, 320, 22049, 7684, 282, 2132, 476, 271, 282, 7684, 3097, 1892, 476, 9732, 9732, 9732, 9732, 9732, 9732, 476, 278, 4374, 3516, 267, 1948, 9745, 1923, 5231, 476, 271, 8729, 513, 2603, 269, 26419, 5660, 621, 563, 9732, 476, 278, 4374, 3516, 267, 1948, 1923, 5231, 1341, 274, 5994, 3597, 267, 579, 267, 642, 616, 593, 519, 1482, 2619, 538, 1931, 269, 2690, 519, 2473, 3036, 851, 267, 19469, 311, 3036, 689, 579, 547, 642, 568, 630, 322, 636, 11494, 311, 3036, 689, 3597, 547, 642, 264, 9745, 630, 322, 636, 11494, 311, 3036, 689, 3597, 547, 579, 781, 2385, 1040, 2690, 519, 10758, 851, 267, 594, 6415, 27378, 602, 596, 666, 4558, 519, 2040, 540, 1412, 272, 781, 585, 1142, 3787, 689, 3597, 547, 1142, 6843, 269, 1924, 952, 3597, 267, 579, 267, 642, 616, 782, 593, 519, 1482, 2619, 538, 602, 1931, 267, 596, 666, 23754, 952, 513, 3787, 568, 1305, 689, 579, 547, 642, 676, 2921, 2040, 20172, 547, 642, 264, 2443, 2040, 20172, 547, 579, 781, 2385, 264, 543, 10992, 952, 621, 568, 3436, 476, 271, 269, 1924, 547, 1205, 519, 10758, 689, 6843, 513, 547, 6843, 536, 267, 1491, 519, 19469, 3036, 689, 700, 7563, 5416, 267, 536, 264, 547, 513, 630, 6748, 519, 19469, 2040, 4480, 594, 1175, 4330, 1070, 543, 10758, 609, 19469, 3036, 700, 7563, 5416, 267, 536, 264, 547, 536, 269, 1411, 666, 798, 1945, 2147, 585, 2473, 3036, 13034, 2100, 602, 594, 6415, 2953, 543, 4126, 602, 713, 2337, 563, 9732, 476, 278, 4374, 3516, 267, 1948, 1923, 5231, 476, 271, 3371, 568, 519, 3070, 281, 4179, 2517, 332, 28938, 2593, 11320, 2255, 286, 341, 284, 889, 11025, 311, 321, 272, 290, 279, 657, 0, 2971, 1548, 568, 476, 14689, 271, 2600, 540, 476, 1704, 2496, 1692, 1454, 568, 476, 14689, 271, 2600, 540, 476, 1704, 286, 2422, 519, 9498, 2630, 547, 5173, 513, 6871, 267, 2901, 607, 513, 6871, 540, 513, 1297, 267, 971, 607, 476, 14689, 271, 260, 540, 476, 1704, 610, 519, 6871, 540, 476, 273, 2338, 269, 7827, 519, 2338, 547, 5173, 1114, 5666, 269, 15439, 1826, 883, 519, 3403, 10833, 543, 519, 2626, 786, 9337, 780, 1012, 476, 14689, 271, 260, 540, 476, 1704, 815, 476, 17734, 269, 274, 692, 24280, 1776, 6871, 2630, 269, 7392, 883, 11378, 454, 8340, 1297, 1759, 593, 6871, 454, 704, 1417, 540, 454, 8340, 6871, 1759, 593, 476, 273, 2338, 454, 323, 22866, 676, 454, 15612, 908, 835, 8536, 267, 2947, 4627, 543, 562, 27197, 540, 11157, 8696, 1215, 547, 5173, 476, 14689, 271, 260, 540, 476, 1704, 286, 15439, 7941, 519, 2600, 676, 476, 1911, 543, 9062, 676, 519, 1297, 269, 1280, 1383, 267, 476, 14689, 271, 1315, 1911, 1535, 476, 1704, 815, 476, 17734, 269, 274, 610, 476, 1428, 269, 280, 1535, 476, 1704, 815, 476, 17734, 269, 274, 692, 2971, 1215, 1454, 568, 476, 14689, 271, 2600, 540, 519, 1739, 2338, 2496, 476, 14689, 271, 2600, 540, 476, 1704, 269, 4905, 815, 476, 17734, 3393, 269, 280, 476, 14689, 271, 2600, 540, 476, 1704, 269, 6349, 815, 476, 17734, 8618, 269, 279, 476, 14689, 271, 2600, 540, 476, 1704, 269, 6734, 815, 476, 17734, 6507, 269, 278, 476, 14689, 271, 2600, 540, 476, 1704, 269, 6860, 815, 476, 17734, 11152, 269, 277, 476, 14689, 271, 2600, 540, 476, 1704, 269, 4962, 815, 476, 27244, 6021, 269, 276, 476, 14689, 271, 2600, 540, 476, 1704, 269, 6187, 815, 476, 27244, 1839, 269, 275, 476, 14689, 271, 2600, 540, 476, 1704, 269, 5881, 815, 476, 27244, 6078, 269, 274, 476, 14689, 271, 2600, 540, 476, 1704, 269, 5400, 815, 476, 27244, 6872, 269, 273, 476, 14689, 271, 2600, 540, 476, 1704, 269, 6021, 815, 476, 27244, 10463, 269, 272, 476, 14689, 271, 2600, 540, 476, 1704, 269, 272, 815, 476, 27244, 8660, 476, 14689, 271, 2600, 540, 476, 1704, 269, 1556, 815, 476, 26604, 6860, 269, 280, 476, 14689, 271, 2600, 540, 476, 1704, 269, 1321, 815, 476, 26604, 736, 269, 279, 476, 14689, 271, 2600, 540, 476, 1704, 269, 1724, 815, 476, 26604, 3607, 269, 278, 476, 14689, 271, 2600, 540, 476, 1704, 269, 1691, 815, 476, 26604, 7367, 269, 277, 476, 14689, 271, 2600, 540, 476, 1704, 269, 1428, 815, 476, 26604, 6924, 269, 276, 476, 14689, 271, 2600, 540, 476, 1704, 269, 1626, 815, 476, 26604, 10019 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 341, 314, 272, 2639, 453, 523, 5519, 12173, 815, 19523, 27769, 341, 314, 273, 2639, 453, 572, 937, 523, 5519, 815, 834, 32401, 5016, 258, 24708, 3527, 454, 16651, 318, 9146, 815, 3527, 269, 9146, 2891, 16651, 2580, 3097, 453, 514, 1203, 800, 269, 3225, 5792, 314, 271, 3910, 11891, 269, 3225, 5792, 314, 272, 7481, 16651, 318, 8234, 815, 28135, 269, 10890, 2891, 16651, 2580, 476, 1911, 2020, 258, 24708, 782, 519, 3688, 7531, 258, 572, 937, 543, 1118, 606, 10546, 454, 604, 2824, 523, 5519, 912, 453, 523, 12562, 815, 15259, 269, 4289, 323, 597, 9638, 987, 284, 8339, 2260, 523, 5519, 5073, 453, 523, 5519, 12173, 815, 14763, 314, 12690, 27110, 263, 271, 267, 630, 6352, 263, 523, 12562, 264, 910, 476, 272, 4297, 6540, 523, 5519, 18316, 815, 1930, 263, 2668, 270, 523, 5519, 270, 24001, 2668, 8971, 263, 523, 5519, 12173, 1070, 834, 337, 5602, 523, 5519, 19553, 5459, 815, 31460, 523, 5519, 19553, 5459, 815, 795, 5459, 269, 2903, 263, 523, 5519, 18316, 994, 523, 5519, 815, 10546, 269, 523, 5519, 263, 523, 5519, 19553, 5459, 267, 1412, 2897, 14516, 17210, 258, 1326, 11891, 795, 5459, 454, 514, 1203, 800, 18316, 815, 1930, 263, 2668, 270, 514, 1203, 800, 270, 346, 20467, 329, 5459, 2668, 8971, 263, 514, 1203, 800, 18316, 1070, 3097, 453, 257, 337, 266, 5602, 514, 1203, 800, 19553, 5459, 815, 31460, 514, 1203, 800, 19553, 5459, 815, 795, 5459, 269, 2903, 263, 514, 1203, 800, 18316, 994, 514, 1203, 800, 815, 6345, 18425, 1203, 800, 263, 514, 1203, 800, 19553, 5459, 267, 3097, 453, 718, 318, 933, 777, 976, 267, 782, 318, 1301, 712, 2020, 258, 5891, 4367, 454, 2745, 2891, 2710, 596, 1616, 547, 1205, 519, 4367, 286, 5602, 842, 549, 815, 586, 318, 528, 5332, 4590, 604, 25644, 2652, 476, 272, 912, 453, 16769, 269, 842, 549, 10797, 258, 523, 5519, 2962, 454, 3430, 17977, 815, 10546, 19709, 322, 728, 4590, 604, 16091, 912, 453, 523, 5519, 269, 3430, 871, 10797, 6112, 834, 25152, 13426, 453, 743, 338, 4590, 13537, 2891, 7312, 1072, 568, 281, 14307, 6345, 318, 8234, 269, 8234, 994, 13537, 2891, 1432, 798, 596, 1616, 547, 798, 286, 5602, 13537, 19629, 339, 910, 16920, 871, 630, 320, 264, 5602, 13537, 19629, 339, 910, 9377, 754, 630, 323, 264, 5602, 13537, 19629, 339, 910, 1103, 1203, 800, 630, 328, 264, 5602, 13537, 19629, 339, 910, 18933, 3558, 1284, 777, 517, 630, 1873, 264, 5602, 13537, 19629, 339, 910, 18933, 3558, 14022, 712, 630, 21542, 264, 5602, 13537, 19629, 339, 910, 8698, 16797, 13129, 630, 337, 264, 5602, 13537, 19629, 339, 910, 304, 3726, 630, 336, 264, 5602, 13537, 2891, 268, 257, 2608, 476, 1789, 994, 453, 9146, 815, 3403, 2891, 285, 19515, 14851, 2962, 2652, 834, 320, 13426, 453, 453, 323, 16936, 318, 1372, 5306, 815, 6345, 318, 9146, 269, 3430, 871, 4590, 453, 453, 523, 5519, 19709, 920, 848, 5560, 16936, 318, 1372, 5306, 994, 453, 453, 19874, 692, 453, 19197, 2962, 2652, 834, 323, 13426, 453, 453, 16651, 318, 9146, 269, 3698, 754, 5560, 600, 720, 994, 453, 453, 19874, 454, 453, 19197, 2962, 2652, 834, 328, 13426, 453, 453, 514, 1203, 800, 269, 4289, 10797, 453, 19197, 2962, 2652, 834, 1873, 13426, 453, 453, 743, 338, 4590, 453, 13537, 2891, 4415, 1018, 14049, 798, 596, 1616, 547, 6467, 286, 5602, 453, 13537, 2891, 268, 257, 2608, 476, 1789, 994, 453, 453, 933, 777, 517, 815, 3403, 2891, 285, 19515, 453, 453, 514, 1203, 800, 269, 3225, 760, 318, 933, 777, 517, 263, 933, 777, 517, 994, 453, 453, 19874, 692, 453, 19197, 2962, 2652, 834, 21542, 13426, 453, 453, 743, 338, 4590, 453, 13537, 2891, 4415, 1018, 6186, 712, 798, 596, 1616, 547, 6467, 286, 5602, 453, 13537, 2891, 268, 257, 2608, 476, 1789, 994, 453, 453, 1301, 712, 815, 3403, 2891, 285, 19515, 453, 453, 514, 1203, 800, 269, 3225, 760, 318, 1301, 712, 263, 1301, 712, 264, 4848, 454, 453, 453, 19874, 454, 28768, 453, 19197, 2962, 2652, 834, 337, 13426, 453, 453, 16769, 269, 10915, 2397, 10797, 453, 19197, 2962, 2652, 834, 336, 13426, 453, 13537, 2891, 732, 596, 2386, 286, 1496, 344, 267, 301, 316, 5602, 453, 453, 338, 675, 815, 3403, 2891, 285, 19515, 453, 14851, 2386, 2652, 834, 312, 13426, 4848, 453, 338, 903, 20216, 527, 4590, 28432, 912, 453, 13537, 2891, 6546, 4781, 568, 711, 18931, 15419, 258, 8234, 9273, 454, 16651, 318, 8234, 269, 8234, 19709, 920, 848, 5560, 600, 720, 994 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 288, 3778, 540, 519, 18018, 340, 523, 1824, 454, 310, 269, 24883, 6742, 2106, 454, 763, 1977, 570, 847, 5980, 454, 1607, 568, 606, 5140, 543, 11121, 9661, 540, 519, 18018, 340, 523, 1824, 267, 519, 3943, 27869, 1235, 563, 9773, 9109, 729, 513, 3943, 2006, 543, 1010, 556, 4146, 538, 519, 3943, 6340, 18230, 2749, 454, 1993, 25611, 1185, 513, 7096, 1764, 593, 1010, 22657, 269, 19402, 621, 729, 970, 597, 335, 730, 538, 454, 29188, 538, 519, 853, 269, 4446, 628, 565, 727, 342, 781, 4303, 32003, 543, 12617, 896, 519, 30201, 1903, 454, 7474, 16397, 519, 3943, 27869, 1235, 1310, 519, 4860, 6327, 540, 519, 3798, 1112, 540, 454, 301, 656, 525, 267, 519, 556, 4146, 538, 5333, 729, 540, 513, 1379, 267, 19454, 267, 543, 8560, 267, 602, 454, 1492, 2898, 4182, 1131, 723, 1831, 1234, 11526, 269, 634, 1650, 540, 891, 24123, 454, 13731, 2103, 543, 741, 9620, 585, 519, 5132, 568, 606, 1196, 4328, 3635, 585, 1346, 945, 454, 9188, 790, 547, 917, 811, 540, 741, 5289, 6561, 563, 763, 1433, 6238, 609, 519, 1686, 540, 840, 268, 3725, 4146, 5333, 8720, 519, 4505, 454, 516, 845, 5322, 540, 519, 966, 7596, 12251, 267, 543, 6869, 1513, 267, 3092, 269, 901, 1447, 1134, 1634, 543, 454, 325, 2444, 3215, 851, 540, 1686, 568, 513, 3407, 1840, 547, 713, 960, 563, 763, 1433, 814, 13977, 29350, 11271, 269, 1358, 616, 13801, 267, 5266, 2110, 267, 543, 1360, 454, 1348, 762, 269, 1677, 2057, 2348, 13977, 29350, 1357, 1790, 1137, 267, 2864, 982, 607, 723, 1044, 938, 454, 335, 15462, 540, 2348, 513, 1357, 22240, 585, 1142, 3184, 267, 519, 11271, 723, 1044, 454, 16766, 539, 538, 6810, 676, 1641, 2339, 563, 8368, 540, 12937, 454, 14532, 540, 519, 966, 7596, 12251, 454, 763, 26746, 538, 5333, 454, 763, 645, 25114, 585, 519, 18321, 454, 295, 3266, 1143, 543, 3004, 3022, 344, 454, 763, 3778, 540, 519, 966, 7596, 12251, 454, 1607, 3296, 13408, 519, 1101, 8370, 11271, 7132, 519, 2776, 2183, 269, 1358, 616, 7396, 454, 10964, 578, 269, 1677, 979, 2047, 547, 1022, 1880, 3184, 4945, 593, 519, 3095, 547, 602, 454, 577, 1986, 269, 19227, 596, 666, 20801, 1524, 607, 596, 1224, 3184, 676, 3184, 563, 763, 2776, 2286, 540, 519, 12724, 1228, 454, 27609, 725, 585, 519, 29042, 2782, 454, 763, 2155, 775, 618, 540, 519, 3004, 3022, 344, 454, 763, 1234, 793, 540, 0, 15507, 713, 3135, 454, 16485, 513, 7726, 454, 9359, 1863, 4693, 454, 16485, 513, 2243, 454, 1607, 3983, 613, 568, 13752, 547, 782, 552, 24687, 30451, 269, 8307, 4013, 30451, 666, 2626, 1053, 262, 2055, 593, 938, 3135, 269, 30451, 616, 3610, 267, 3318, 3173, 267, 543, 5640, 945, 4019, 547, 938, 2483, 9172, 26833, 513, 7726, 538, 674, 1878, 454, 763, 10839, 602, 596, 5018, 568, 6157, 10858, 547, 595, 800, 1369, 519, 2796, 540, 1010, 2078, 609, 31684, 269, 1306, 14986, 4230, 1393, 569, 4967, 267, 513, 1126, 1058, 711, 581, 519, 6408, 540, 1010, 610, 1200, 3237, 262, 2483, 9172, 26833, 513, 7726, 538, 5345, 1112, 539, 454, 763, 1292, 1888, 540, 519, 1433, 267, 8027, 22584, 267, 568, 538, 2169, 878, 2406, 13615, 547, 10168, 538, 3013, 269, 1280, 1383, 267, 519, 2278, 15623, 2677, 12107, 27180, 519, 2539, 1362, 8027, 6429, 538, 6660, 342, 879, 27365, 269, 1261, 4967, 2483, 9172, 26833, 513, 7726, 538, 631, 2056, 9931, 454, 2467, 616, 865, 1082, 8846, 707, 1557, 1223, 1491, 952, 596, 941, 547, 2328, 593, 968, 300, 2056, 9931, 1848, 1403, 707, 4116, 814, 2016, 596, 513, 1808, 5401, 547, 2626, 267, 594, 1131, 581, 2386, 547, 2328, 538, 606, 1557, 538, 2483, 9172, 26833, 513, 7726, 538, 1977, 18004, 4457, 454, 297, 514, 15651, 779, 4835, 4655, 568, 6508, 689, 1010, 17418, 547, 3398, 1010, 3961, 607, 606, 7489, 1977, 538, 513, 5354, 3043, 2486, 269, 1261, 6499, 547, 581, 7608, 676, 1010, 3043, 9905, 267, 855, 693, 519, 1482, 942, 31972, 9172, 26833, 513, 7726, 538, 20514, 1290, 12723, 513, 23225, 30683, 26361, 570, 514, 1181, 30745, 454, 763, 2626, 547, 713, 2243, 568, 632, 1061, 1947, 2241, 281, 834, 299, 1149, 1290, 12723, 513, 23225, 30683, 26361, 570, 514, 1181, 30745, 257, 3568, 2947, 588, 11961, 553, 267, 540, 8795, 13080, 269, 634, 20125, 588, 24521, 3568, 8370, 3515, 267, 1247, 519, 2483, 4537, 12976, 476, 272, 268, 276, 540, 476, 3374, 0, 306, 663, 595, 4599, 630, 302, 1998, 6346, 513, 14094, 16772, 529, 994, 306, 663, 595, 4599, 630, 302, 1998, 6346, 513, 14094, 16772, 529, 264, 568, 513, 5420, 13355, 26029, 2249, 609, 513, 3376, 3892, 2066, 7013, 5245, 689, 22453, 7345, 538, 24368, 267, 547, 681, 2714, 333, 652, 6816, 538, 5375, 5245, 267, 1519, 31005, 1014, 7297, 269, 1358, 2049, 2059, 17774, 17822, 267, 538, 22501, 536, 904, 543, 538, 7410, 267, 543, 538, 21369, 7297, 547, 9625, 1911, 544, 3178, 269, 769, 3162, 5245, 267, 789, 2049, 538, 1034, 1202, 327, 648, 7297, 4849, 519, 7187, 575, 5285, 338, 543, 7178, 5032, 536, 904, 267, 1141, 9791, 15434, 2125, 616, 1034, 10731, 269, 634, 6006, 2497, 540, 9995, 15434, 2125, 568, 7164, 269, 589, 1353, 883, 519, 10285, 7350, 540, 9995, 15434, 2125, 538, 3213, 742, 514, 7345, 5462, 602, 789, 616, 5162, 838, 1177, 2996, 585, 799, 10285, 2534, 19589, 538, 5147, 267, 609, 10874, 3072, 8951, 1459, 2394, 3735, 4864, 269, 21058, 9995, 15434, 2125, 12492, 4638, 15657, 693, 513, 4130, 2450, 982, 9038, 269, 589, 7893, 1982, 17298, 538, 3213, 742, 514, 7345, 1282, 519, 3735, 476, 1960, 271, 338, 5462, 602, 782, 25541, 8951, 941, 2630, 519, 5934, 3656, 2450, 610, 476, 1911, 6515, 267, 10834, 602, 519, 6237, 9995, 595, 4599, 13278, 344, 729, 9247, 1759, 593, 9038, 269, 0, 7922, 785, 1145, 5012, 547, 8101, 3986, 906, 538, 1082, 17391, 5759, 267, 543, 22907, 538, 1866, 269, 898, 568, 7164, 875, 4049, 3308, 9271, 991, 547, 581, 1354, 2242, 538, 17391, 5759, 2049, 267, 610, 2436, 519, 2078, 1063, 10335, 540, 3308, 2530, 543, 2242, 538, 17391, 5759, 568, 14354, 543, 9836, 269, 3371, 649, 1397, 602, 3152, 10335, 540, 3308, 2530, 568, 2404, 609, 2799, 17391, 21520, 540, 3845, 543, 4055, 2450, 269, 2201, 3328, 5171, 609, 4049, 3308, 9271, 9228, 4992, 547, 581, 7466, 607, 2484, 2476, 267, 543, 11623, 547, 581, 1614, 2053, 3677, 267, 982, 8289, 539, 8060, 269, 20028, 9193, 585, 8289, 539, 8060, 941, 1034, 4977, 585, 6251, 4992, 543, 2547, 4977, 585, 20991, 4992, 269, 1306, 519, 10335, 540, 3308, 15717, 2799, 267, 6111, 8519, 585, 6251, 4992, 543, 2799, 585, 20991, 4992, 269, 1717, 267, 621, 568, 585, 6251, 4992, 602, 4977, 21520, 616, 2877, 547, 3391, 4028, 5179, 6114, 547, 17391, 2621, 267, 552, 3052, 269, 4058, 513, 2922, 2619, 998, 513, 11112, 8265, 547, 2057, 21611, 609, 824, 1004, 267, 543, 8813, 269, 21452, 267, 3152, 3308, 15717, 10335, 729, 2404, 609, 811, 4977, 4055, 2450, 9193, 269, 634, 2164, 1489, 513, 1007, 8367, 602, 3444, 7116, 531, 23363, 540, 2912, 819, 676, 5075, 5673, 593, 519, 10335, 540, 3308, 2530, 563, 763, 2622, 2657, 9257, 630, 21766, 264, 6059, 602, 11451, 476, 6642, 269, 276, 2929, 1004, 723, 7646, 3308, 2530, 267, 476, 24241, 2929, 723, 9793, 547, 4049, 9271, 267, 543, 476, 3607, 2929, 616, 9420, 272, 269, 898, 814, 1631, 1044, 1134, 3964, 602, 2407, 21901, 630, 20135, 3308, 2530, 610, 1769, 8226, 1152, 264, 666, 1267, 538, 19349, 540, 1978, 17391, 8901, 5759, 543, 29083, 540, 1866, 630, 1721, 8039, 267, 1294, 273, 267, 274, 267, 275, 267, 276, 267, 277, 267, 278, 1040, 1280, 1383, 267, 21901, 1419, 2164, 538, 10565, 9283, 538, 552, 3273, 6327, 1983, 275, 267, 279, 543, 519, 2702, 547, 12398, 4992, 538, 20842, 574, 3578, 630, 3847, 1922, 3224, 28878, 21520, 264, 280, 267, 1015, 267, 855, 5012, 547, 3648, 25013, 2702, 547, 9794, 519, 7299, 2990, 540, 4992, 1556, 267, 1321, 267, 610, 9794, 3280, 2990, 609, 2463, 547, 5007, 17974, 21056, 1724, 269, 898, 814, 1044, 6700, 602, 519, 2242, 5817, 8476, 2773, 616, 21739, 1644, 547, 14624, 1369, 519, 1624, 760, 1388, 16794, 267, 1141, 3308, 2127, 540, 519, 2634, 616, 25945, 547, 1184, 17391, 11378, 538, 519, 2680, 540, 3308, 2530, 276, 267, 1691, 267, 1428, 269, 1717, 267, 519, 5817, 3741, 540, 1018, 11479, 2242, 538, 17391, 5759, 1739, 3308, 2530, 616, 711, 1134, 6956, 269, 898, 568, 711, 2943, 1634, 875, 4049, 519, 3308, 2530, 2115, 547, 581, 1354, 1713, 19260, 538, 17391, 5759, 616, 4767, 267, 610, 2436, 519, 2078, 1063, 10335, 540, 3308, 2530, 543, 2242, 538, 17391, 5759, 568, 9836, 269, 1403, 621, 568, 9836, 267, 1287, 1004, 609, 811, 16434, 3308, 9271, 1058, 8858, 4130, 2242, 538, 17391, 5759, 982, 1346, 609, 811, 4049, 3308, 9271, 563, 28095, 960, 4951, 602, 3379, 547, 8289, 539, 8060, 267, 2043, 609, 2698, 5075, 2530, 7447, 2282, 3280, 2959, 547, 581, 20991, 2476, 543, 7447, 20991, 3280, 2959, 547, 581, 6251, 1626, 267, 1704, 267, 11744, 519, 2565, 1909, 602, 5075, 4249, 538, 26215, 908, 17391, 2230, 1240, 269, 589, 1297, 540, 2090, 723, 849, 3254, 602, 9864, 3308, 22975, 5540, 17391, 31338, 5759, 269, 3733, 8084, 630, 26211, 1606, 32484, 264, 5171, 616, 811, 4977, 982, 8289, 539, 8060, 585, 20842, 574, 3578, 531, 31338, 866, 543, 552, 3273, 6327, 267, 543, 1397, 3152, 8417, 547, 16079, 545, 8901, 10291, 736, 269, 3733, 8084, 543, 5605, 569, 8084, 5171, 723, 1044, 4080, 547, 1397, 3648, 4130, 1582, 1790, 3789, 532, 6959, 1210, 3280, 547, 2708, 741, 2990, 538, 513, 4055, 982, 8289, 539, 8060, 2641, 269, 4746, 267, 13148, 8289, 539, 5171, 1582, 3146, 19959, 1732, 20842, 574, 3578, 531, 3280, 31338, 543, 4824, 5759, 547, 1246, 4633, 950, 15175, 1063, 1114, 2911, 619, 2420, 563, 7212, 9864, 2530, 540, 5075, 14122, 606, 2799, 16126, 593, 6217, 585, 4656, 543, 3106, 267, 2792, 543, 5872, 267, 543, 585, 18399, 998, 3280, 2537, 267, 621, 568, 711, 1634, 875, 6217, 568, 4299, 676, 519, 10335, 540, 9864, 3308, 2530, 269, 1284, 8268, 713, 676, 13844, 21520, 540, 519, 3845, 540, 3280, 2959, 543, 540, 4055, 2450, 1210, 3280, 585, 5171, 609, 513, 2039, 540, 1812, 885, 540, 3308, 2530, 267, 547, 1449, 519, 8367, 602, 3444, 7116, 531, 23363, 568, 8200, 593, 519, 9588, 540, 519, 10444, 2530, 269, 898, 729, 32424, 602, 9836, 4679, 538, 17391, 21520, 540, 3845, 543, 4055, 2450, 1131, 581, 2404, 609, 519, 10335, 540, 3308, 2530, 267, 609, 3152, 9193, 2404, 609, 811, 4049, 3308, 2530, 269, 1677, 8495, 2436, 713, 729, 3020, 267, 543, 2436, 621, 20902, 2066, 1114, 4055, 5054, 543, 15128, 267, 5171, 941, 7318, 538, 5691, 606, 3663, 18757, 543, 26871, 828, 656, 11623, 267, 1210, 4633, 267, 2575, 543, 6846, 15128, 269, 634, 1114, 15128, 941, 6074, 607, 789, 9867, 538, 741, 4715, 549, 2389, 32294, 4162, 269, 898, 729, 32424, 602, 538, 513, 5691, 26871, 828, 656, 4055, 267, 9193, 540, 3845, 543, 4055, 2450, 1131, 581, 3152, 982, 538, 519, 5691, 606, 3663, 18757, 4055, 267, 607, 1382, 5267, 602, 3152, 26871, 828, 566, 568, 2404, 609, 2799, 9228, 3845, 2190, 543, 4055, 2450, 9193, 1839, 267, 2918, 585, 7363, 8289, 539, 5171, 269, 898, 729, 32424, 602, 9193, 1131, 581, 811, 2357, 573, 673, 585, 4633, 2767, 982, 585, 6846, 2764, 610, 2575, 267, 607, 7363, 8289, 539, 5171, 941, 5892, 3254, 547, 581, 2111, 547, 8415, 741, 23440, 609, 519, 17974, 4162, 540, 4633, 547, 2285, 811, 2357, 573, 673, 3845, 9193, 3066, 563, 763, 5171, 941, 25945, 689, 590, 1678, 4673, 715, 996, 1537, 11535, 16685, 11233, 538, 16441, 333, 2967, 267, 3127, 269, 17823, 1399, 3670, 5171, 3576, 851, 269, 1358, 941, 19040, 883, 2185, 2516, 2687, 547, 741, 3308, 1035, 340, 885, 267, 609, 7121, 6302, 6074, 547, 1331, 513, 2647, 2039, 540, 3308, 9271, 269, 6828, 476, 272, 15538, 540, 8289, 539, 8060, 630, 333, 815, 476, 1240, 267, 476, 1724, 8951, 267, 1611, 2085, 476, 2641, 269, 272, 586, 3464, 267, 2039, 476, 736, 1700, 1839, 586, 3464, 267, 8298, 300, 2752, 1496, 19868, 15162, 332, 540, 519, 29358, 24234, 540, 22375, 267, 1031, 547, 7447, 3308, 1035, 8462, 316, 815, 476, 271, 1070, 1895, 476, 273, 1185 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 19577, 269, 1284, 666, 2328, 782, 519, 2318, 7787, 2338, 538, 513, 1079, 8820, 5044, 607, 3254, 538, 7612, 476, 280, 907, 634, 1283, 4737, 538, 7612, 476, 280, 269, 4564, 519, 19362, 540, 519, 7787, 1297, 267, 543, 519, 2451, 6241, 4564, 519, 14009, 269, 1284, 1246, 519, 21985, 538, 7612, 476, 280, 269, 547, 5581, 535, 654, 715, 256, 1627, 595, 269, 634, 2856, 568, 547, 1376, 538, 519, 5580, 2451, 7944, 540, 519, 3349, 543, 1847, 547, 20422, 32377, 607, 5205, 281, 1284, 1376, 609, 782, 8454, 538, 799, 519, 2040, 540, 519, 19362, 543, 14009, 568, 1152, 269, 1924, 535, 32220, 667, 780, 866, 476, 30420, 3848, 476, 280, 269, 5685, 924, 543, 5606, 9548, 30498, 7612, 476, 280, 12727, 25478, 519, 15474, 21929, 10606, 1284, 1985, 946, 1346, 8454, 538, 799, 519, 2040, 540, 519, 19362, 543, 14009, 568, 476, 274, 269, 1924, 535, 32220, 667, 543, 535, 269, 274, 270, 667, 269, 1284, 1985, 946, 1346, 8454, 538, 799, 519, 2040, 540, 519, 19362, 543, 14009, 568, 476, 275, 269, 1924, 535, 269, 275, 270, 667, 476, 274, 267, 535, 269, 276, 270, 667, 476, 274, 269, 1284, 1236, 5792, 2094, 667, 269, 769, 713, 1259, 267, 649, 786, 2327, 602, 519, 1599, 535, 568, 513, 835, 3562, 14633, 1599, 269, 1284, 1631, 3136, 609, 20422, 32377, 522, 2466, 1154, 8454, 602, 616, 711, 538, 9803, 2474, 269, 901, 1184, 18715, 602, 519, 1599, 535, 786, 581, 606, 13297, 543, 513, 1147, 20287, 269, 4475, 267, 715, 1627, 595, 543, 3556, 269, 336, 595, 1315, 476, 271, 269, 8074, 281, 1280, 1776, 6169, 540, 14497, 476, 280, 269, 275, 267, 1294, 3635, 630, 275, 264, 593, 2985, 476, 275, 4037, 269, 4595, 1627, 595, 568, 1293, 762, 267, 621, 4667, 10257, 547, 2503, 602, 1627, 568, 1293, 762, 269, 1284, 786, 2263, 713, 4166, 269, 2201, 519, 824, 1688, 267, 693, 713, 1448, 267, 621, 949, 849, 3100, 10257, 547, 2307, 10484, 736, 476, 280, 907, 4032, 762, 30498, 476, 5325, 3657, 972, 1022, 4608, 870, 762, 5036, 286, 634, 2626, 547, 713, 2243, 568, 9811, 267, 855, 649, 786, 7227, 2394, 519, 1985, 3296, 547, 6961, 602, 1978, 5036, 616, 4608, 870, 762, 269, 1284, 1869, 723, 513, 1906, 811, 2152, 547, 4308, 609, 7282, 1293, 762, 5036, 269, 4032, 2406, 5606, 9548, 30498, 14497, 476, 280, 269, 276, 269, 1403, 589, 568, 513, 1293, 2406, 12808, 1305, 267, 1287, 589, 1496, 535, 343, 326, 568, 513, 1293, 2406, 12808, 1305, 269, 19577, 269, 2913, 589, 581, 513, 1293, 2406, 12808, 1305, 269, 3973, 972, 6818, 513, 1979, 20287, 535, 654, 715, 256, 589, 269, 4595, 1535, 568, 2901, 538, 589, 610, 711, 538, 589, 267, 649, 666, 2015, 1079, 2665, 269, 1403, 1535, 589, 267, 1287, 589, 1496, 535, 343, 326, 667, 589, 543, 589, 1496, 535, 343, 326, 568, 1293, 2406, 12808, 269, 1403, 1535, 589, 267, 5581, 575, 654, 301, 256, 589, 1496, 535, 343, 326, 676, 630, 1535, 952, 562, 667, 575, 8542, 270, 667, 535, 8542, 1315, 952, 562, 3436, 269, 634, 6169, 602, 519, 1599, 575, 568, 513, 1979, 20287, 568, 11644, 630, 275, 1040, 4595, 575, 568, 513, 1979, 20287, 267, 649, 723, 9863, 602, 589, 1496, 535, 343, 326, 715, 543, 8754, 267, 589, 1496, 535, 343, 326, 568, 1293, 2406, 12808, 269, 14497, 476, 280, 269, 277, 269, 1403, 589, 568, 513, 1293, 2406, 12808, 1305, 543, 645, 568, 513, 13113, 1305, 267, 1287, 589, 1496, 645, 568, 513, 1293, 2406, 12808, 1305, 269, 19577, 269, 11644, 630, 276, 264, 593, 2985, 476, 5325, 275, 269, 14497, 476, 280, 269, 277, 3081, 602, 952, 649, 1039, 513, 13113, 1297, 540, 2609, 547, 513, 1293, 2406, 12808, 1305, 267, 519, 4611, 1305, 568, 1869, 1293, 2406, 12808, 269, 769, 824, 1913, 267, 519, 3556, 514, 1275, 540, 519, 1007, 1305, 568, 519, 1482, 607, 519, 3556, 514, 1275, 540, 519, 3312, 1305, 269, 5685, 924, 5036, 13789, 1360, 8335, 538, 519, 2631, 602, 952, 649, 1039, 2609, 547, 513, 13113, 1305, 267, 649, 786, 1689, 519, 3556, 514, 1275, 269, 1548, 949, 1256, 581, 811, 9670, 568, 519, 1267, 538, 14497, 476, 280, 269, 278, 602, 2829, 602, 519, 9769, 540, 1079, 1293, 2406, 12808, 630, 4134, 329, 2002, 264, 5036, 568, 1293, 2406, 12808, 269, 634, 6169, 540, 713, 1267, 568, 2147, 547, 519, 6169, 602, 519, 9981, 616, 1293, 2406, 12808, 630, 31628, 332, 476, 280, 269, 274, 1040, 769, 1249, 267, 952, 589, 667, 3655, 6902, 513, 6902, 513, 476, 274, 6902, 2433, 2433, 2433, 326, 543, 645, 667, 535, 321, 6902, 536, 6902, 536, 476, 274, 6902, 2433, 2433, 2433, 326, 267, 1287, 649, 666, 946, 519, 1739, 6516, 547, 948, 5581, 513, 1979, 20287, 689, 715, 547, 589, 1496, 645, 269, 14497, 476, 280, 269, 278, 269, 1403, 589, 543, 645, 616, 771, 329, 2002, 1293, 2406, 12808, 5036, 267, 1287, 589, 1496, 645, 568, 513, 1293, 2406, 12808, 1305, 780, 2641, 476, 5325, 3848, 476, 280, 269, 5685, 924, 543, 5606, 9548, 30498, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 513, 536, 513, 536, 513, 476, 274, 536, 476, 274, 513, 476, 275, 536, 476, 275, 513, 476, 276, 536, 476, 276, 7612, 476, 280, 269, 274, 281, 589, 9577, 689, 715, 547, 589, 1496, 645, 19577, 269, 2913, 589, 543, 645, 581, 1293, 2406, 12808, 5036, 543, 1577, 535, 654, 715, 256, 589, 543, 575, 654, 715, 256, 645, 581, 1979, 915, 687, 269, 16294, 554, 1233, 256, 589, 1496, 645, 676, 476, 279, 562, 595, 535, 952, 562, 568, 9642, 476, 24994, 283, 554, 8542, 270, 667, 476, 24994, 281, 562, 575, 952, 562, 568, 1256, 281, 898, 568, 2451, 607, 11644, 630, 277, 264, 593, 2985, 476, 5325, 275, 547, 6961, 602, 519, 1599, 554, 568, 513, 1979, 20287, 269, 4595, 649, 666, 2328, 519, 1305, 540, 7787, 2338, 1627, 607, 519, 9769, 540, 519, 1305, 540, 1875, 17463, 7787, 2338, 543, 519, 1305, 540, 7787, 2338, 267, 649, 666, 946, 519, 2164, 538, 14497, 476, 280, 269, 275, 267, 14497, 476, 280, 269, 276, 267, 543, 14497, 476, 280, 269, 278, 547, 6961, 519, 1739, 11532, 269, 14497, 476, 280, 269, 279, 269, 634, 1305, 1627, 540, 782, 7787, 2338, 568, 1293, 2406, 12808, 269, 19577, 269, 11644, 630, 278, 264, 593, 2985, 476, 5325, 275, 269, 769, 8791, 476, 280, 1421, 649, 9863, 602, 1022, 15410, 540, 513, 13113, 1305, 568, 13113, 630, 31628, 332, 476, 280, 269, 277, 1040, 589, 2147, 1267, 1058, 581, 4397, 585, 1293, 762, 5036, 269, 1284, 1101, 6961, 602, 1169, 15410, 540, 715, 568, 1293, 762, 269, 1280, 606, 12808, 15410, 645, 540, 715, 267, 519, 2856, 540, 519, 6169, 568, 547, 5581, 513, 1599, 575, 654, 301, 256, 645, 676, 9427, 519, 2609, 689, 645, 689, 10545, 547, 519, 1985, 10545, 547, 519, 1985, 10545, 267, 543, 865, 593, 269, 1284, 798, 713, 676, 10747, 519, 1599, 575, 16571, 1947, 607, 5205, 281, 2913, 575, 32220, 581, 519, 10545, 2067, 1297, 538, 645, 269, 17179, 575, 32220, 689, 645, 543, 1577, 575, 32220, 581, 519, 10545, 2067, 1297, 538, 645, 535, 326, 32220, 326, 269, 17179, 575, 32220, 543, 1577, 575, 269, 274, 270, 581, 519, 10545, 2067, 1297, 538, 645, 535, 326, 32220, 282, 575, 32220, 326, 269, 1284, 3136, 713, 1184, 269, 634, 6101, 25276, 4214, 540, 575, 654, 715, 256, 645, 568, 3769, 538, 519, 6169, 540, 14497, 476, 280, 269, 280, 780, 2420, 476, 280, 907, 4032, 762, 30498, 476, 5325, 274, 14497, 476, 280, 269, 280, 269, 5272, 15410, 540, 519, 2067, 2338, 568, 1293, 762, 269, 19577, 269, 2913, 645, 581, 513, 15410, 540, 715, 269, 1403, 645, 568, 13113, 267, 1287, 645, 568, 1293, 762, 269, 1924, 649, 1985, 8263, 602, 645, 568, 12808, 269, 1284, 786, 1985, 2285, 513, 25276, 4214, 540, 513, 1599, 575, 654, 301, 256, 645, 543, 1287, 6961, 602, 575, 568, 513, 1979, 20287, 269, 2913, 575, 32220, 581, 519, 10545, 2067, 1297, 538, 645, 269, 1280, 1142, 562, 715, 267, 519, 1305, 645, 535, 326, 32220, 282, 575, 32220, 282, 2433, 2433, 2433, 282, 575, 8542, 17320, 568, 711, 8900, 2094, 645, 568, 12808, 269, 16294, 575, 8542, 595, 1315, 547, 581, 519, 10545, 2067, 1297, 538, 645, 535, 326, 32220, 282, 575, 32220, 282, 2433, 2433, 2433, 282, 575, 8542, 17320, 269, 634, 6169, 602, 519, 1599, 575, 568, 513, 1979, 20287, 568, 11644, 20465, 593, 2985, 476, 275, 4037, 269, 4856, 3326, 776, 476, 280, 269, 271, 269, 5272, 15410, 540, 513, 1293, 762, 1305, 568, 1293, 762, 269, 19577, 269, 11644, 20465, 593, 2985, 476, 275, 4037, 269, 20113, 476, 280, 269, 27085, 3557, 2436, 1142, 540, 519, 1739, 568, 3020, 610, 7301, 269, 630, 320, 264, 1403, 513, 1305, 589, 568, 1293, 2406, 12808, 267, 1287, 589, 568, 12808, 269, 630, 321, 264, 1403, 513, 1305, 589, 568, 1293, 2406, 12808, 267, 1287, 589, 568, 1293, 762, 269, 630, 322, 264, 1403, 513, 1305, 589, 568, 4608, 870, 762, 267, 1287, 589, 568, 711, 1293, 2406, 12808, 269, 630, 323, 264, 1403, 589, 715, 737, 585, 930, 737, 715, 267, 1287, 589, 568, 711, 1293, 762, 907, 28171, 602, 1142, 540, 519, 1739, 5036, 568, 1293, 2406, 12808, 269, 630, 320, 264, 634, 1305, 674, 595, 540, 782, 2067, 2338, 602, 616, 23385, 540, 476, 276, 630, 321, 264, 634, 1305, 674, 540, 782, 9981, 602, 616, 23385, 540, 476, 276, 630, 322, 264, 476, 391, 485, 737, 715, 286, 630, 324, 264, 715, 535, 275, 282, 476, 276, 282, 476, 277, 326, 737, 630, 323, 264, 535, 333, 2098, 795, 562, 476, 271, 326, 476, 274, 269, 28171, 851, 20465, 540, 14497, 476, 280, 269, 271, 269, 286, 630, 325, 264, 535, 332, 2098, 795, 544, 6230, 617, 476, 274, 17320, 2913, 589, 543, 645, 581, 5036, 269, 1403, 589, 568, 12808, 543, 589, 645, 267, 1287, 645, 568, 12808, 780, 2537, 476, 5325, 275, 3848, 476, 280, 269, 5685, 924, 543, 5606, 9548, 30498, 476, 275, 269, 13159, 519, 6169, 540, 14497, 476, 280, 269, 276, 676, 18445, 519, 1739, 281, 2913, 589, 581, 513, 1293, 2406, 12808, 1305, 543, 1535, 589, 269, 1403, 535, 654, 301, 256, 589, 568, 513, 1979, 20287, 267, 1287, 575, 568, 513, 1979, 20287, 267, 1141, 575, 654, 301, 256, 589, 1496, 535, 343, 326, 676, 575, 8542, 270, 667, 630, 1535, 952, 562, 667, 535, 8542, 1315, 952, 562, 3436, 2433, 286, 476, 276, 269, 28171, 14497, 476, 280, 269, 277, 269, 1403, 589, 568, 513, 1293, 2406, 12808, 1305, 543, 645, 568, 513, 13113, 1305, 267, 1287, 589, 1496, 645, 568, 513, 1293, 2406, 12808, 1305, 269, 670, 842, 281, 2913, 3556, 12500, 270, 667, 562, 543, 946, 513, 6169, 676, 15632, 593, 562, 269, 14497, 476, 280, 269, 276, 568, 519, 4493, 1900, 269, 286, 476, 277, 269, 13159, 519, 6169, 540, 14497, 476, 280, 269, 278, 676, 18445, 519, 1739, 281, 2913, 589, 543, 645, 581, 771, 329, 2002, 1293, 2406, 12808, 5036, 543, 1577, 535, 654, 715, 256, 589, 543, 575, 654, 301, 256, 645, 581, 1979, 915, 687, 269, 16294, 554, 1233, 256, 589, 1496, 645, 676, 476, 279, 562, 595, 535, 476, 24994, 283, 554, 8542, 270, 667, 476, 24994, 281, 562, 575, 3973, 519, 1599, 554, 568, 513, 1979, 20287, 269, 476, 278, 269, 28171, 14497, 476, 280, 269, 279, 269, 634, 1305, 1627, 540, 782, 7787, 2338, 568, 1293, 762, 269, 670, 842, 281, 2422, 14497, 476, 280, 269, 276, 543, 14497, 476, 280, 269, 278, 269, 952, 562, 568, 9642, 952, 562, 568, 1256, 281, 286, 476, 279, 269, 28171, 602, 952, 589, 568, 1293, 2406, 12808, 543, 645, 568, 13113, 267, 1287, 589, 645, 568, 1293, 2406, 12808, 269, 476, 280, 269, 16294, 535, 654, 301, 715, 256, 715, 607, 5205, 281, 1280, 1142, 6230, 282, 562, 270, 715, 715, 267, 535, 6230, 282, 562, 270, 667, 544, 8542, 1315, 281, 630, 320, 264, 28171, 602, 535, 568, 606, 13297, 269, 670, 842, 281, 1403, 535, 6230, 282, 562, 270, 667, 535, 4732, 282, 512, 32551, 972, 616, 1614, 2665, 547, 2015, 281, 544, 3436, 521, 267, 544, 2999, 521, 267, 543, 544, 667, 521, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1184, 649, 3580, 6494, 596, 519, 4105, 1344, 563, 4504, 18166, 10017, 12910, 7433, 14474, 454, 8002, 1302, 782, 11207, 1863, 2165, 4574, 2139, 593, 519, 4950, 616, 476, 1911, 260, 12735, 3511, 1242, 256, 7732, 2835, 543, 13746, 543, 519, 4950, 949, 3761, 519, 16185, 547, 971, 9623, 269, 5675, 513, 5114, 1957, 666, 581, 513, 2731, 4101, 2816, 267, 865, 1082, 1053, 946, 1806, 547, 1265, 856, 811, 827, 922, 2497, 543, 1883, 7207, 563, 2467, 616, 513, 1906, 5683, 9270, 538, 1382, 596, 11129, 547, 2760, 1491, 585, 11292, 269, 6333, 519, 2035, 596, 2461, 1565, 538, 707, 1362, 267, 543, 7118, 513, 1592, 540, 1346, 269, 24269, 707, 7084, 568, 513, 3332, 2689, 267, 596, 2461, 2356, 8612, 609, 519, 5021, 2090, 621, 568, 2009, 547, 2322, 538, 707, 960, 563, 20329, 1108, 12910, 7433, 14474, 1107, 11137, 454, 2791, 2141, 723, 547, 581, 2386, 602, 596, 1491, 896, 7156, 875, 7453, 519, 1382, 6161, 568, 782, 827, 971, 1919, 269, 7324, 519, 1713, 2609, 602, 5581, 519, 1608, 9200, 540, 513, 2165, 1957, 568, 17096, 269, 634, 1732, 851, 540, 519, 6530, 1016, 1922, 3658, 616, 1360, 3376, 267, 1818, 15388, 593, 621, 5393, 16609, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 540, 519, 18914, 543, 519, 5137, 540, 519, 5934, 13230, 7258, 519, 13302, 1942, 540, 5663, 5010, 5370, 267, 543, 519, 9562, 540, 513, 1286, 2968, 1898, 547, 519, 14134, 1813, 547, 519, 3395, 8897, 540, 11449, 835, 269, 31035, 689, 6283, 2029, 267, 1272, 538, 519, 476, 736, 779, 729, 4957, 609, 519, 4367, 540, 5201, 883, 5321, 282, 14233, 899, 519, 21067, 543, 519, 12511, 2968, 513, 13766, 22290, 519, 6521, 689, 1426, 2901, 1500, 538, 519, 1753, 610, 12349, 585, 513, 1970, 3902, 547, 811, 4195, 5613, 543, 5388, 543, 9268, 454, 763, 476, 4572, 271, 338, 941, 606, 2085, 540, 10565, 1514, 543, 2797, 1689, 269, 1280, 519, 1101, 942, 267, 811, 4892, 5030, 538, 4872, 982, 593, 11396, 269, 634, 4182, 779, 2698, 5763, 811, 982, 23060, 1063, 476, 4572, 271, 543, 476, 4572, 280, 267, 543, 713, 2804, 2208, 25626, 1082, 4892, 883, 606, 3413, 23308, 855, 14542, 968, 4621, 10179, 2486, 1848, 4658, 689, 5032, 547, 5032, 11751, 519, 1482, 5370, 267, 19557, 547, 519, 1482, 2575, 267, 1705, 519, 1482, 23929, 543, 1256, 1031, 519, 1482, 27325, 269, 3509, 4892, 941, 13943, 609, 713, 1007, 267, 4683, 267, 3006, 986, 1097, 968, 21346, 2528, 31865, 538, 1249, 267, 585, 1082, 1004, 538, 519, 2136, 2276, 267, 519, 476, 4572, 271, 338, 4547, 811, 4655, 982, 11812, 269, 1717, 267, 585, 513, 1507, 19625, 540, 1762, 1004, 538, 519, 4182, 779, 2462, 4872, 267, 519, 476, 4572, 271, 338, 941, 887, 2130, 8197, 1519, 519, 9660, 2336, 2005, 729, 2731, 513, 942, 540, 2208, 602, 729, 1360, 25133, 585, 3013, 269, 769, 713, 942, 4892, 3323, 547, 1689, 543, 1491, 11348, 538, 1018, 789, 20595, 267, 17696, 267, 543, 1705, 585, 9913, 543, 1082, 824, 1919, 269, 589, 2603, 540, 713, 2208, 543, 13120, 1185, 1390, 1198, 593, 519, 16222, 543, 519, 2235, 639, 1870, 269, 8409, 8441, 849, 3366, 547, 18563, 649, 723, 2221, 269, 1323, 1383, 568, 519, 3282, 543, 3154, 17689, 563, 763, 476, 4572, 271, 338, 729, 513, 8748, 942, 585, 519, 4098, 540, 513, 1732, 1272, 585, 782, 2136, 2276, 4961, 269, 1703, 729, 13884, 1310, 519, 2112, 8694, 269, 898, 2813, 1082, 3255, 585, 1007, 1870, 543, 2029, 547, 1118, 3232, 2713, 1689, 11014, 269, 634, 2528, 540, 519, 476, 4572, 271, 338, 4957, 13497, 609, 1114, 6080, 2921, 1055, 693, 2407, 3432, 269, 901, 1974, 729, 1572, 519, 887, 2130, 1000, 550, 625, 1317, 519, 3781, 1272, 267, 1397, 326, 597, 3149, 267, 543, 1350, 600, 4465, 936, 3025, 1412, 338, 12271, 563, 763, 9177, 540, 519, 10162, 2130, 476, 736, 338, 2060, 519, 1439, 540, 2622, 2782, 2290, 267, 3357, 513, 1390, 942, 540, 13884, 538, 3013, 269, 1703, 941, 1082, 4657, 2053, 543, 1004, 3459, 547, 2413, 1125, 2933, 543, 741, 2729, 269, 634, 476, 4572, 271, 338, 5189, 519, 1007, 2085, 540, 21035, 6801, 543, 519, 5925, 269, 898, 19117, 875, 2021, 941, 2938, 538, 1977, 2528, 543, 4547, 5026, 547, 519, 21282, 269, 19901, 1143, 729, 593, 519, 4473, 543, 1004, 941, 4742, 811, 6899, 543, 8746, 609, 2933, 563, 763, 476, 4572, 271, 338, 941, 606, 3078, 942, 540, 1689, 543, 2804, 13884, 267, 607, 519, 21748, 693, 519, 1439, 540, 634, 4279, 2782, 729, 8719, 676, 606, 13778, 942, 540, 2883, 2208, 269, 634, 6006, 2344, 865, 1563, 547, 796, 29207, 15344, 15627, 267, 26255, 539, 676, 513, 1007, 4853, 4838, 269, 6904, 4718, 519, 1646, 540, 1007, 18563, 543, 4066, 602, 4957, 3013, 20427, 269, 1280, 1383, 267, 2872, 6205, 8361, 16110, 2919, 519, 10198, 1899, 267, 799, 13087, 2527, 2504, 540, 519, 1007, 18914, 606, 8798, 602, 4957, 519, 4182, 811, 982, 4376, 3116, 1282, 713, 942, 269, 901, 729, 606, 5736, 1082, 811, 13300, 607, 1134, 267, 971, 607, 519, 20987, 267, 5925, 267, 543, 5163, 4605, 563, 22709, 2504, 267, 2523, 540, 519, 18914, 267, 2799, 10688, 543, 27838, 1007, 6080, 269, 1133, 655, 7877, 20034, 5471, 539, 607, 4213, 8057, 547, 2743, 713, 2799, 3747, 269, 634, 17044, 3401, 540, 602, 942, 543, 741, 18879, 593, 10072, 1143, 267, 4027, 1143, 267, 4550, 3766, 17922, 17933, 543, 2178, 605, 1532, 5350, 703, 328, 2510, 1500, 782, 540, 713, 454, 2690, 1383, 267, 1991, 547, 519, 8798, 540, 519, 10198, 1899, 606, 14825, 9394, 729, 2808, 513, 17195, 1152, 585, 519, 3638, 269, 2991, 8361, 16110, 11827, 519, 3001, 10198, 1899, 267, 1647, 1362, 4892, 941, 849, 2111, 547, 6718, 713, 20161, 269, 9603, 547, 8361, 16110, 779, 10198, 1899, 8798, 267, 15327, 538, 2413, 2486, 723, 3812, 3810, 10995, 10198, 3515, 269, 16110, 779, 5137, 814, 3361, 513, 26871, 828, 566, 2429, 1686, 543, 1256, 538, 519, 476, 2641, 560, 2540, 269, 1280, 3236, 267, 16110, 779, 1378, 2754, 267, 2221, 267, 666, 1711, 909, 547, 476, 2568, 276, 6517, 538, 476, 1015, 3108, 269, 0, 7343, 30970, 13563, 31784, 8127, 616, 1851, 519, 4102, 543, 13074, 24331, 15195, 24991, 538, 3345, 3013, 269, 1358, 723, 513, 16356, 6438, 1560, 267, 3328, 476, 272, 269, 276, 544, 538, 3259, 267, 9260, 476, 2767, 4846, 267, 543, 666, 2661, 538, 4430, 540, 13977, 1296, 563, 2690, 1034, 5095, 519, 11667, 2085, 568, 2947, 547, 5216, 1296, 543, 519, 5021, 2085, 568, 27552, 547, 29933, 1296, 563, 13563, 31784, 8127, 616, 5347, 1606, 7219, 2740, 543, 3592, 7357, 7047, 559, 698, 29532, 269, 4256, 4064, 616, 1507, 543, 9859, 2663, 958, 269, 1358, 723, 513, 1804, 267, 512, 1653, 532, 1766, 1529, 636, 1166, 777, 267, 513, 1804, 5023, 267, 543, 513, 6366, 267, 31784, 11057, 887, 1598, 636, 602, 3800, 5111, 835, 21017, 540, 741, 1560, 3259, 563, 7628, 519, 3355, 5933, 540, 1646, 689, 21872, 547, 24011, 1782, 267, 1977, 31784, 8127, 723, 1100, 887, 1598, 636, 269, 898, 5956, 547, 1106, 16172, 1310, 554, 10248, 269, 634, 887, 1598, 636, 568, 606, 10137, 540, 519, 1835, 13203, 267, 711, 540, 519, 5580, 543, 2539, 28287, 610, 10153, 16371, 1062, 607, 609, 519, 1279, 2879, 8083, 540, 824, 24991, 563, 8448, 23243, 4162, 1331, 513, 7184, 23643, 539, 10636, 665, 2075, 531, 1309, 644, 531, 1710, 543, 20585, 32442, 267, 1419, 609, 2138, 339, 1782, 267, 8151, 689, 17824, 880, 12457, 547, 3109, 21053, 958, 21249, 547, 513, 17642, 880, 896, 10964, 569, 563, 301, 5446, 13563, 31784, 8127, 616, 5702, 1644, 547, 588, 25973, 976, 538, 519, 1931, 3600, 760, 27660, 6134, 525, 267, 606, 1931, 540, 21828, 18422, 1922, 514, 2740, 24991, 602, 2882, 588, 25973, 517, 543, 31784, 8127, 267, 1896, 2249, 540, 799, 616, 1631, 17255, 563, 303, 18150, 8127, 616, 1851, 519, 9510, 540, 24991, 607, 23576, 538, 519, 8093, 2594, 799, 7389, 741, 1101, 5920, 5111, 476, 4968, 547, 476, 6110, 2929, 1296, 3516, 267, 3592, 476, 2004, 2929, 1296, 1354, 519, 17878, 269, 26187, 2812, 540, 513, 2034, 17255, 2249, 267, 15234, 303, 269, 16321, 1529, 1092, 262, 3299, 799, 4266, 1394, 5111, 476, 2568, 2929, 1296, 3516, 267, 941, 1336, 538, 519, 13722, 19232, 18152, 570, 1638, 1442, 19725, 538, 23497, 563, 18850, 9084, 13563, 31784, 8127, 616, 21049, 547, 519, 14967, 5211, 19438, 267, 13840, 9648, 689, 519, 16713, 543, 31803, 8933, 538, 519, 22070, 547, 519, 11882, 543, 1325, 5586, 1156, 344, 8933, 540, 519, 22583, 282, 519, 2212, 31662, 540, 519, 14967, 5211, 5045, 547, 922, 5023, 267, 689, 519, 5842, 10496, 20041, 5211, 538, 519, 22236, 547, 519, 570, 4861, 580, 23331, 543, 17665, 8933, 540, 519, 22703, 563, 6826, 8326, 13563, 31784, 8127, 616, 1279, 24331, 267, 16770, 3735, 1319, 1005, 10652, 20723, 3165, 269, 12339, 2297, 798, 711, 2253, 838, 27681, 2394, 789, 616, 5722, 547, 4557, 1296, 2025, 267, 930, 607, 3735, 607, 28465, 547, 29933, 1296, 2025, 269, 12339, 2297, 798, 711, 838, 11921, 1169, 1032, 267, 2864, 789, 838, 11921, 1169, 2034, 610, 3791, 1032, 269, 631, 2297, 838, 11921, 811, 4749, 267, 2356, 1169, 1032, 610, 1169, 824, 1032, 4098, 1472, 2085, 5722, 267, 930, 607, 3735, 607, 8370, 610, 4557, 1296, 540, 2085, 563, 13563, 31784, 8127, 2253, 741, 25318, 838, 27681, 9194, 28069, 1282, 2038, 5614, 282, 930, 2253, 538, 3735, 2887, 269, 1358, 838, 11921, 593, 521, 2830, 6954, 18574, 13063, 602, 1131, 6382, 581, 6534, 547, 2011, 610, 4988, 676, 1360, 13719, 1216, 941, 621, 711, 585, 519, 14380, 538, 519, 5757, 689, 6777, 15835, 543, 5993, 5614, 22856, 602, 2014, 14700, 563, 21930, 1977, 31784, 8127, 616, 4057, 7669, 11302, 799, 2306, 873, 11630, 547, 32456, 269, 4475, 267, 4028, 1101, 4458, 2208, 568, 1271, 547, 741, 6668, 269, 674, 787, 666, 1332, 827, 476, 272, 538, 829, 3018, 267, 543, 676, 3735, 5147, 519, 9416, 13530, 616, 1472, 476, 276, 1700, 277, 538, 1279, 563, 19853, 2557, 540, 2208, 568, 4756, 543, 3810, 8200, 593, 1426, 11606, 269, 14451, 2208, 3928, 2049, 538, 2127, 1141, 1426, 568, 711, 3908, 269, 634, 8023, 2623, 540, 9416, 13530, 568, 3833, 1114, 689, 602, 540, 4587, 5104, 32596, 543, 4079, 269, 1358, 7001, 1367, 28506, 2023, 835, 676, 835, 267, 799, 3340, 7020, 543, 4087, 540, 1367, 15234, 291, 7469, 11844, 5257, 593, 1935, 267, 4553, 676, 606, 18448, 23603, 547, 7001, 519, 5697, 10352, 563, 3528, 3735, 5181, 9416, 13530, 723, 2919, 883, 5104, 32596, 267, 543, 616, 1472, 476, 1015, 1700, 1321, 538, 1279, 269, 2991, 519, 476, 272, 560, 1032, 741, 2208, 2557, 25815, 543, 568, 3810, 4756, 269, 5525, 5815, 602, 676, 2085, 476, 276, 741, 2208, 2557, 25939, 1472, 476, 273, 538, 829, 1032, 4470, 593, 519, 11606, 540, 1426, 543, 824, 2825, 7506, 563, 295, 629, 18945, 13563, 31784, 8127, 616, 3810, 5985, 543, 1134, 9862, 547, 2713, 538, 8933, 269, 1358, 9468, 1082, 2010, 540, 5757, 710, 9249, 2429, 1454, 540, 519, 14967, 9503, 543, 11105, 13323, 9386, 8963, 1137, 563, 5445, 2049, 1034, 4749, 538, 4514, 267, 1970, 1699, 2127, 971, 607, 2427, 9055, 267, 3404, 28647, 267, 1394, 4248, 12647, 267, 15922, 748, 267, 543, 2766, 31662, 2630, 21394, 269, 1358, 723, 1044, 4767, 547, 1847, 811, 982, 476, 273, 267, 1822, 11465, 538, 513, 5757, 1062, 563, 15933, 763, 1977, 31784, 8127, 781, 2732, 5161, 5097, 540, 18186, 25762, 269, 4256, 6850, 516, 1061, 832, 666, 3713, 4617, 5122, 4610, 267, 799, 5365, 711, 1152, 519, 4527, 540, 18186, 25762, 267, 855, 849, 519, 1367, 8023, 543, 10977, 5322, 540, 18186, 25762, 16289, 1137, 563, 2691, 513, 2220, 1301, 540, 18186, 25762, 568, 9571, 267, 519, 31784, 8127, 7669, 338, 4464, 11179, 609, 741, 5023, 2647, 1930, 267, 16550, 1216, 936, 519, 575, 650, 986, 24329, 547, 6882, 856, 10352, 269, 6270, 8023, 2623, 568, 2808, 15155, 20022, 1922, 29623, 269, 4329, 1382, 814, 8612, 602, 741, 6850, 516, 1061, 832, 949, 849, 4196, 607, 513, 4044, 1049, 5351, 585, 21677, 21084, 563, 5278, 1257, 15998, 616, 10081, 16163, 539, 689, 9504, 269, 0, 19328, 23119, 689, 5312, 5201, 22520, 267, 543, 607, 519, 2197, 779, 642, 528, 20160, 3747, 585, 1648, 5170, 547, 1332, 1813, 547, 8375, 26038, 543, 9750, 22713, 543, 20012, 267, 519, 3510, 568, 4397, 547, 22009, 269, 20588, 6997, 814, 1044, 2324, 609, 1585, 1857, 8041, 538, 3127, 547, 3895, 1648, 4398, 972, 31251, 22928, 5656, 267, 513, 21273, 3167, 7470, 543, 811, 3608, 1753, 14233, 269, 6270, 3800, 786, 711, 1152, 2232, 519, 22520, 855, 1223, 849, 2569, 5533, 543, 5434, 540, 8511, 9362, 563, 3080, 540, 519, 5171, 267, 918, 12282, 269, 4223, 515, 342, 267, 28579, 540, 519, 24542, 27943, 8189, 538, 29242, 1533, 267, 1572, 519, 1982, 968, 14140, 1362, 267, 13181, 1848, 968, 296, 4769, 1406, 8275, 519, 9165, 543, 2956, 540, 1648, 4398, 2223, 646, 1767, 269, 968, 2171, 723, 827, 476, 272, 2929, 5561, 269, 594, 6557, 2469, 1394, 547, 2263, 2417, 1018, 649, 666, 798, 267, 2523, 538, 1648, 4398, 3034, 19853, 627, 20071, 13388, 7552, 3769, 11401, 609, 519, 4993, 6052, 8189, 543, 519, 4993, 5398, 7780, 1988, 8189, 799, 267, 2059, 609, 20588, 6997, 267, 9896, 513, 6490, 528, 663, 636, 540, 4197, 609, 3127, 779, 17072, 540, 3204, 22399, 2063, 1032, 547, 5077, 593, 1655, 2853, 538, 10626, 2861, 1648, 3887, 11797, 3292, 269, 11153, 4993, 20848, 267, 1519, 7414, 13937, 1299, 11272, 543, 8828, 4993, 32525, 267, 849, 5795, 14245, 267, 607, 1705, 519, 4993 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2016, 513, 3043, 11843, 610, 2953, 562, 579, 3088, 2016, 513, 3109, 11843, 264, 4573, 340, 718, 12600, 815, 303, 6262, 8091, 1297, 2016, 3043, 11843, 264, 1341, 303, 6262, 8091, 1297, 2016, 3109, 11843, 264, 815, 303, 263, 19009, 2322, 1394, 2016, 3043, 3144, 264, 1341, 623, 263, 4472, 1188, 2322, 1394, 2016, 3109, 3144, 264, 815, 1474, 996, 902, 596, 4312, 5249, 856, 563, 623, 281, 476, 3374, 3689, 540, 782, 267, 7064, 585, 707, 3210, 269, 594, 7494, 5660, 707, 948, 269, 3733, 2247, 568, 10977, 2507, 810, 23248, 594, 6415, 711, 2469, 547, 1118, 713, 8338, 269, 1403, 594, 6415, 7157, 9001, 519, 9623, 596, 3177, 281, 623, 6262, 8091, 14305, 540, 11084, 264, 815, 623, 5416, 3109, 11084, 543, 536, 3043, 11084, 1070, 2094, 4216, 1948, 272, 3323, 1055, 609, 513, 3109, 11084, 543, 536, 3043, 11084, 1496, 663, 4216, 1948, 273, 3323, 1055, 609, 524, 3109, 11084, 543, 546, 3043, 11084, 4940, 623, 263, 19009, 3440, 6074, 689, 4216, 1948, 272, 264, 815, 11377, 2765, 15830, 2410, 320, 17070, 6525, 623, 263, 18872, 3440, 6074, 689, 4216, 1948, 272, 264, 815, 11377, 2765, 21151, 2410, 320, 17070, 6525, 543, 623, 263, 19009, 3440, 6074, 689, 4216, 1948, 273, 2016, 513, 3043, 3440, 6074, 689, 4216, 1948, 272, 264, 815, 11377, 2765, 18097, 266, 272, 2410, 322, 266, 323, 266, 272, 6525, 623, 263, 18872, 3440, 6074, 689, 4216, 1948, 273, 2016, 513, 3109, 3440, 6074, 689, 4216, 1948, 272, 264, 815, 11377, 2765, 26231, 266, 272, 2410, 322, 266, 323, 266, 272, 6525, 543, 6368, 32586, 2953, 14305, 540, 11084, 281, 623, 5416, 3109, 11084, 543, 536, 3043, 11084, 264, 815, 6695, 2765, 15830, 2410, 320, 17070, 348, 1422, 10383, 1422, 2765, 18097, 266, 272, 2410, 322, 266, 323, 266, 272, 23180, 2765, 21151, 2410, 320, 17070, 348, 1422, 10383, 1422, 2765, 26231, 266, 272, 2410, 322, 266, 323, 266, 272, 6525, 594, 6415, 1869, 513, 2370, 27967, 827, 713, 2507, 6533, 1586, 267, 1210, 7591, 323, 2129, 568, 4101, 585, 803, 269, 2549, 594, 15911, 267, 21617, 267, 610, 1259, 856, 538, 2451, 2361, 286, 8729, 1586, 256, 2915, 2742, 454, 2233, 20180, 528, 670, 310, 4477, 704, 623, 281, 476, 280, 267, 31256, 645, 8712, 538, 13340, 525, 267, 17438, 7726, 586, 335, 267, 602, 4667, 547, 581, 827, 1318, 630, 663, 31925, 1022, 6959, 1775, 949, 723, 1500, 1916, 623, 281, 476, 3374, 9684, 596, 585, 707, 5583, 543, 7326, 269, 1655, 540, 16858, 267, 2915, 2742, 454, 623, 281, 476, 3374, 7427, 593, 2243, 281, 16393, 594, 723, 1031, 513, 5409, 613, 6248, 3892, 547, 4137, 713, 856, 286, 594, 7058, 594, 1131, 1175, 723, 547, 4137, 856, 875, 547, 1305, 621, 909, 602, 1259, 269, 2915, 2742, 454, 623, 281, 476, 275, 2290, 666, 946, 519, 5409, 613, 558, 2045, 3892, 547, 1205, 547, 519, 1482, 1267, 269, 4635, 519, 19585, 5506, 1935, 267, 519, 17831, 630, 1721, 7446, 519, 3109, 610, 3043, 3440, 689, 4216, 258, 272, 3738, 663, 519, 19585, 17831, 630, 1993, 7446, 519, 3109, 610, 3043, 11084, 689, 4216, 258, 273, 264, 616, 519, 1482, 607, 519, 835, 596, 3893, 4505, 269, 700, 1115, 1294, 585, 835, 2013, 281, 13340, 258, 272, 281, 7446, 513, 3109, 3440, 17438, 815, 630, 320, 3442, 476, 272, 264, 2608, 630, 321, 3442, 476, 271, 264, 1315, 630, 320, 17070, 3442, 476, 272, 264, 815, 513, 14370, 320, 17070, 264, 630, 320, 3442, 476, 272, 2433, 2081, 540, 7446, 476, 272, 3440, 689, 513, 3109, 11084, 264, 6684, 519, 5506, 540, 7446, 513, 3109, 3440, 689, 4216, 258, 2016, 3109, 3440, 6074, 689, 4216, 258, 272, 815, 630, 322, 266, 272, 8358, 630, 322, 266, 323, 266, 272, 264, 901, 568, 4010, 519, 1101, 2165, 538, 707, 3830, 269, 594, 1131, 5660, 952, 2576, 1223, 1577, 803, 917, 875, 547, 6023, 6310, 10035, 538, 713, 1257, 9375, 563, 303, 281, 476, 3374, 454, 2372, 1774, 676, 2274, 548, 594, 1131, 5660, 952, 2576, 1223, 1577, 803, 917, 875, 547, 6023, 6310, 10035, 538, 713, 1257, 9375, 563, 8867, 548, 10484, 13425, 856, 713, 3095, 593, 5487, 307, 1410, 630, 527, 781, 538, 519, 4937, 8212, 8468, 2567, 5291, 2517, 874, 12695, 1721, 4548, 2593, 270, 19651, 628, 1348, 21703, 286, 339, 284, 279, 4200, 278, 692, 2005, 568, 513, 8142, 5627, 9623, 827, 5487, 307, 1410, 2010, 23293, 538, 513, 5048, 269, 898, 781, 7168, 2653, 547, 798, 780, 12552, 543, 1434, 9939, 780, 27594, 2742, 692, 13565, 9181, 687, 20145, 1299, 15332, 14581, 476, 274, 20145, 1299, 15332, 14581, 476, 273, 5590, 7869, 267, 20603, 267, 17438, 267, 10803, 476, 272, 5590, 7869, 267, 20603, 267, 17438, 267, 10803, 476, 273, 8342, 267, 16071, 1299, 10632, 476, 1556, 0, 7462, 589, 27637, 14405, 4566, 585, 513, 476, 6110, 267, 1822, 3766, 718, 517, 20425, 7382, 609, 8953, 476, 2767, 269, 271, 692, 10789, 570, 12460, 281, 7183, 29120, 5384, 3970, 281, 476, 272, 4303, 692, 288, 27637, 14405, 4566, 585, 513, 692, 6110, 267, 1822, 3766, 718, 517, 454, 1097, 331, 785, 3740, 7382, 609, 8953, 476, 2767, 269, 271, 10264, 269, 1548, 1058, 519, 4463, 581, 286, 630, 272, 10264, 274, 815, 476, 278, 269, 4366, 7523, 269, 18471, 707, 2626, 1210, 519, 3652, 585, 2324, 609, 7403, 24355, 12914, 476, 1724, 628, 267, 476, 1001, 276, 692, 2414, 4137, 713, 856, 1101, 596, 991, 547, 3314, 519, 1858, 3830, 585, 513, 5858, 799, 568, 14039, 265, 337, 16302, 692, 7032, 2608, 476, 2767, 317, 273, 815, 476, 26631, 271, 269, 21854, 271, 4510, 10264, 317, 273, 692, 10190, 596, 991, 547, 6460, 476, 6110, 267, 1822, 17529, 883, 10264, 317, 274, 692, 1607, 568, 2944, 676, 12270, 476, 6110, 267, 1822, 17529, 676, 476, 278, 269, 4366, 17529, 692, 10472, 11224, 476, 276, 4097, 4037, 269, 280, 3374, 10695, 10264, 317, 274, 692, 7712, 519, 4320, 540, 513, 12718, 11224, 519, 1858, 540, 519, 1283, 630, 19327, 540, 519, 5858, 649, 5462, 264, 16611, 676, 519, 4463, 596, 666, 1305, 692, 276, 4097, 4037, 269, 280, 3374, 10695, 10264, 317, 274, 815, 476, 26631, 271, 269, 21854, 271, 4510, 10264, 317, 273, 2608, 554, 692, 15965, 728, 676, 476, 26631, 271, 269, 21854, 271, 4510, 10264, 317, 273, 593, 1312, 5011, 692, 327, 815, 476, 2537, 269, 4097, 280, 6924, 274, 10264, 692, 7712, 519, 10545, 1297, 540, 1713, 5515, 568, 476, 274, 519, 2626, 1131, 4061, 581, 554, 815, 476, 2537, 269, 274, 630, 1492, 476, 275, 21448, 1524, 2020, 8923, 1577, 803, 917, 952, 596, 991, 1022, 27792, 269, 1403, 596, 798, 267, 5225, 5048, 803, 538, 513, 10004, 267, 607, 594, 786, 711, 581, 711, 1881, 952, 596, 15527, 1934, 547, 519, 1966, 269, 594, 6415, 2141, 6126, 547, 2626, 707, 2055, 269, 11289, 596, 1586, 585, 4758, 803, 519, 4316, 547, 581, 707, 20131, 2336, 12914, 476, 1724, 628, 267, 476, 1001, 276, 692, 2483, 12914, 476, 1724, 628, 267, 476, 1001, 276, 454, 2483, 12914, 476, 1724, 628, 267, 476, 1001, 276, 454, 13356, 476, 276, 628, 267, 476, 1001, 277, 454, 13765, 6831, 22511, 0, 763, 5516, 995, 26831, 3635, 3340, 1739, 513, 1507, 1305, 540, 4745, 3350, 3652, 799, 27774, 519, 2081, 513, 1685, 518, 779, 7916, 949, 1847, 269, 476, 1109, 2026, 851, 540, 519, 4341, 1305, 1100, 3350, 602, 568, 8345, 593, 519, 835, 2427, 540, 519, 1560, 666, 4755, 693, 519, 1482, 942, 593, 519, 824, 2427, 540, 519, 1560, 269, 1109, 5221, 519, 3681, 616, 865, 15768, 543, 28653, 267, 519, 1297, 540, 2009, 2962, 9696, 666, 581, 7229, 269, 1741, 1306, 649, 723, 5941, 1934, 5892, 267, 519, 5322, 616, 3908, 547, 1384, 272, 269, 16592, 14022, 8672, 532, 454, 273, 269, 9701, 518, 15585, 566, 454, 274, 269, 4432, 11312, 21253, 542, 454, 275, 269, 5983, 1301, 15585, 566, 692, 4415, 513, 1007, 2962, 1373, 6074, 10199, 1169, 476, 272, 268, 274, 7643, 267, 972, 616, 6634, 540, 2009, 9696, 585, 519, 1101, 3368, 8792, 540, 519, 3635, 269, 29626, 519, 1297, 540, 32545, 729, 3730, 585, 4758, 513, 2631, 540, 519, 1297, 540, 7399, 585, 713, 9583, 1360, 28653, 3635, 269, 898, 849, 9663, 1492, 1042, 4901, 540, 3903, 7266, 878, 5288, 269, 2962, 7266, 878, 5380, 540, 519, 3635, 269, 1109, 12810, 2719, 519, 3681, 585, 519, 4098, 5311, 267, 543, 519, 2009, 5079, 602, 10836, 3533, 7000, 519, 2241, 4806, 602, 5205, 780, 5804, 606, 4835, 267, 23913, 3903, 7266, 878, 5133, 267, 594, 4063, 602, 594, 2253, 676, 7446, 513, 4358, 2962, 547, 1685, 538, 835, 540, 1250, 7916, 12462, 9146, 476, 272, 14615, 4553, 676, 513, 4358, 2962, 547, 1685, 609, 1250, 824, 6186, 12462, 9146, 476, 273, 26158, 594, 1287, 2253, 3001, 676, 4358, 1312, 2962, 476, 272, 543, 2962, 476, 273, 693, 519, 1482, 942, 269, 1109, 3245, 713, 5133, 267, 594, 1185, 476, 279, 7399, 585, 1250, 1101, 3903, 269, 1109, 3733, 5542, 1287, 3366, 547, 1152, 476, 274, 3681, 585, 1250, 2034, 3903, 269, 1109, 1703, 616, 476, 279, 265, 274, 284, 2190, 7399, 585, 713, 3355, 5311, 540, 5079, 780, 4913, 267, 689, 606, 2962, 7266, 878, 5133, 267, 950, 594, 8195, 2253, 7900, 1250, 3355, 5079, 267, 968, 3847, 4432, 11312, 21253, 1299, 1318, 5983, 1301, 15585, 566, 892, 568, 4010, 519, 1482, 2534, 607, 968, 2431, 5983, 1301, 15585, 566, 1299, 2451, 4432, 11312, 21253, 5608, 7488, 540, 519, 1931, 538, 799, 594, 5697, 891, 1079, 3527, 269, 3245, 713, 5133, 267, 972, 616, 630, 275, 265, 275, 9984, 275, 284, 1321, 3355, 10659, 585, 875, 519, 7916, 666, 2253, 3001, 269, 630, 19177, 2009, 3527, 538, 1142, 6186, 11729, 476, 1626, 2009, 10659, 267, 14263, 519, 2185, 968, 4068, 6549, 892, 10659, 1141, 1312, 7916, 616, 3257, 519, 1482, 2962, 24355, 29381, 1741, 9406, 692, 272, 3396, 1109, 476, 273, 267, 274, 267, 275, 692, 273, 3396, 1109, 476, 272, 267, 274, 267, 275, 692, 274, 3396, 1109, 476, 272, 267, 273, 267, 275, 692, 275, 3396, 1109, 476, 272, 267, 273, 267, 274, 692, 5475, 1312, 7916, 2253, 3001, 267, 607, 1279, 607, 596, 968, 4219, 519, 3527, 538, 1312, 7916, 693, 1114, 2053, 267, 865, 602, 519, 2962, 538, 835, 6186, 5170, 1247, 596, 1689, 2962, 538, 519, 824, 892, 630, 24171, 264, 1287, 1142, 3606, 1689, 12750, 625, 519, 32089, 1293, 676, 476, 275, 269, 901, 2164, 689, 2348, 2185, 3681, 693, 1022, 942, 585, 519, 1985, 2962, 281, 519, 2451, 6186, 1223, 1689, 547, 835, 540, 1079, 824, 3527, 267, 610, 519, 1318, 6186, 1223, 1689, 547, 835, 540, 1079, 824, 3527, 269, 26681, 6186, 568, 4847, 547, 10956, 741, 1699, 2962, 267, 543, 9444, 1689, 547, 519, 2962, 519, 824, 6186, 568, 4867, 3257, 780, 9146, 3903, 32545, 692, 272, 3396, 1109, 476, 1321, 3396, 476, 1321, 692, 273, 3396, 1109, 476, 275, 3396, 1109, 476, 4366, 692, 274, 3396, 1109, 476, 275, 3396, 1109, 476, 4572, 692, 275, 3396, 1109, 476, 275, 3396, 1109, 476, 278, 6924, 692, 276, 3396, 1109, 476, 275, 3396, 1109, 476, 28906, 273, 692, 277, 3396, 1109, 476, 275, 3396, 1109, 476, 14338, 6434, 692, 278, 3396, 1109, 476, 275, 3396, 1109, 476, 5392, 272, 7367, 692, 279, 3396, 1109, 476, 275, 3396, 1109, 476, 3422, 2568, 279, 692, 280, 3396, 1109, 476, 275, 3396, 1109, 476, 4281, 277, 28242, 692, 1015, 3396, 476, 275, 476, 3396, 476, 27183, 6872, 273, 279, 692, 2690, 2048, 333, 685, 3527, 281, 623, 3799, 264, 815, 476, 274, 2608, 476, 275, 18898, 692, 4407, 519, 1657, 2982, 519, 2962, 7266, 878, 5133, 267, 519, 1152, 1689, 2556, 547, 6467, 547, 519, 3903, 7266, 878, 5133, 267, 568, 602, 3527, 476, 272, 543, 476, 273, 723, 476, 279, 543, 476, 274, 5079, 6606, 269, 634, 3830, 2242, 547, 623, 3799, 264, 815, 476, 277, 2608, 476, 275, 22677, 333, 268, 272, 1070, 585, 562, 285, 284, 273, 780, 9202, 3268, 1223, 4125, 8159, 875, 14726, 540, 519, 3652, 1198, 519, 1297, 540, 3681, 269, 1280, 1383, 267, 952, 596, 1450, 1312, 7916, 547, 1689, 741, 3527, 8195, 267, 875, 1281, 713, 1689, 519, 1297, 540, 32545, 286, 594, 14353, 713, 2636, 519, 7916, 547, 23396, 3527, 267, 5732, 2810, 2048, 275, 685, 3681, 547, 2048, 277, 8730, 855, 972, 616, 29444 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 287, 287, 287, 287, 287, 287, 454, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 267, 2387, 2387, 5919, 266, 3299, 18889, 262, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 454, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 269, 476, 2073, 287, 287, 287, 287, 287, 287, 287, 287, 266, 567, 7711, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 454, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 267, 476, 1948, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 262, 476, 7711, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 454, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 266, 319, 7711, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 258, 1730, 269, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 454, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 319, 7711, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 267, 2387, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 454, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 282, 1730, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 319, 1412, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 454, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 476, 1948, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 258, 2073, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 454, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 258, 476, 7711, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 267, 1412, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 454, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 258, 1547, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 266, 1730, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 454, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 258, 1547, 287, 287, 258, 10030, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 281, 2387, 282, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 454, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 2387, 287, 287, 567, 2073, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 2387, 2387, 282, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 454, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 476, 7711, 266, 825, 7711, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 2387, 2387, 1547, 262, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 454, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 258, 10030, 258, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 267, 7711, 258, 1341, 281, 2433, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 5257, 9166, 319, 476, 1547, 262, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 454, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 1012, 282, 269, 319, 672, 2387, 267, 266, 287, 287, 287, 287, 287, 287, 287, 262, 7711, 287, 2433, 258, 1730, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 258, 3299, 319, 2433, 258, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 454, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 8339, 2018, 2073, 287, 287, 287, 287, 287, 287, 266, 7711, 287, 2387, 267, 476, 7711, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 258, 319, 476, 2433, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 454, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 266, 319, 476, 2433, 258, 287, 281, 825, 1547, 287, 282, 2387, 269, 287, 287, 287, 287, 287, 282, 7711, 287, 258, 319, 476, 1547, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 267, 319, 1547, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 454, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 262, 2387, 6902, 287, 287, 269, 2387, 567, 2387, 287, 287, 266, 269, 1547, 287, 287, 287, 258, 319, 7711, 287, 287, 258, 10030, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 258, 567, 1948, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 454, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 258, 12181, 287, 287, 269, 567, 2073, 8339, 2387, 269, 287, 258, 287, 319, 1341, 287, 258, 269, 2387, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 258, 287, 281, 1948, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 454, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 269, 476, 1948, 287, 1730, 1412, 258, 287, 258, 287, 282, 476, 6902, 287, 287, 262, 476, 6902, 269, 319, 1948, 287, 287, 287, 287, 258, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 258, 476, 7711, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 454, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 258, 476, 1341, 287, 269, 2387, 287, 258, 287, 1012, 287, 287, 267, 1730, 287, 287, 287, 2387, 567, 1412, 287, 287, 287, 287, 282, 266, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 281, 1412, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 454, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 266, 476, 7711, 262, 2387, 1012, 287, 262, 476, 1341, 1012, 319, 1412, 287, 287, 825, 1341, 287, 287, 258, 287, 267, 2073, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 476, 1341, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 454, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 267, 2073, 287, 262, 2073, 258, 287, 262, 825, 7711, 287, 269, 2387, 287, 258, 2387, 1412, 287, 287, 287, 287, 281, 2387, 258, 287, 287, 287, 287, 287, 287, 287, 287, 287, 258, 10030, 282, 282, 281, 11783, 319, 907, 319, 567, 2433, 258, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 454, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 269, 1341, 287, 262, 2073, 1012, 319, 476, 1547, 2387, 287, 269, 476, 7711, 262, 476, 6902, 287, 287, 287, 287, 287, 476, 1341, 287, 258, 287, 287, 287, 287, 287, 287, 287, 287, 262, 476, 2387, 16875, 2387, 476, 1547, 266, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 454, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 267, 1948, 287, 262, 12452, 287, 287, 567, 7711, 476, 7711, 269, 476, 1341, 476, 1547, 287, 287, 287, 287, 287, 267, 2387, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 266, 319, 8587, 12181, 12727, 266, 8339, 319, 476, 2387, 1341, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 454, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 262, 1948, 287, 262, 476, 1341, 287, 267, 2433, 258, 2387, 287, 3499, 12181, 258, 287, 287, 287, 287, 287, 476, 1341, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 282, 567, 12181, 281, 266, 287, 287, 266, 282, 281, 267, 15311, 262, 3299, 476, 1412, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 454, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 29699, 287, 262, 476, 1547, 287, 258, 287, 287, 281, 1730, 287, 1730, 2387, 1412, 287, 287, 287, 287, 287 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 7705, 281, 19850, 7585, 256, 594, 4862, 596, 2811, 2469, 547, 5840, 585, 16314, 4166, 269, 2334, 781, 865, 3078, 256, 5620, 596, 2479, 1044, 972, 1354, 2496, 7692, 281, 3143, 267, 621, 781, 1250, 1101, 942, 269, 594, 6415, 2731, 3168, 4464, 547, 9683, 13243, 543, 3695, 519, 3504, 2749, 780, 8334, 281, 7937, 267, 602, 4992, 8748, 256, 1809, 723, 596, 2219, 827, 1018, 596, 991, 547, 3640, 610, 5965, 585, 707, 7552, 2496, 7692, 281, 3502, 2731, 267, 594, 729, 1175, 4058, 593, 24386, 930, 9660, 543, 30304, 269, 4208, 798, 594, 991, 547, 5965, 4376, 2027, 2496, 8334, 281, 4270, 267, 10707, 547, 513, 1114, 2197, 666, 581, 1360, 1114, 689, 1373, 693, 1753, 269, 1280, 1383, 267, 538, 5840, 267, 789, 946, 513, 1114, 9304, 1572, 519, 2701, 30448, 269, 1924, 267, 596, 1522, 1616, 547, 5385, 930, 2724, 1354, 596, 979, 780, 7692, 281, 7937, 267, 594, 4769, 1405, 917, 602, 256, 1548, 3116, 798, 594, 991, 547, 1832, 538, 2247, 2496, 8334, 281, 1411, 1058, 849, 2638, 952, 596, 991, 513, 31705, 547, 4283, 519, 2197, 269, 1656, 1810, 1405, 7340, 547, 3142, 1022, 2556, 6054, 899, 707, 1780, 1636, 543, 2951, 6142, 4574, 780, 7692, 281, 28514, 267, 3893, 621, 269, 32506, 3116, 2496, 8334, 281, 8786, 267, 950, 596, 2811, 538, 5840, 267, 1118, 2386, 547, 2463, 741, 9821, 543, 5389, 269, 1280, 3236, 267, 10571, 16434, 569, 950, 9683, 3909, 4609, 899, 519, 5375, 9931, 780, 7692, 281, 20944, 621, 267, 7064, 585, 519, 5796, 256, 1635, 519, 1259, 267, 594, 4862, 602, 18303, 1426, 568, 8949, 269, 1684, 596, 723, 1022, 7840, 2496, 8334, 281, 25999, 256, 8347, 930, 23881, 2378, 601, 267, 1208, 16443, 267, 543, 695, 1177, 12609, 269, 1358, 2811, 782, 2442, 8286, 972, 269, 4746, 267, 1810, 1405, 4413, 856, 593, 3843, 930, 6653, 13000, 899, 29221, 331, 6072, 543, 10300, 9366, 780, 7692, 281, 962, 636, 267, 602, 4992, 5863, 256, 594, 666, 1405, 7227, 547, 2119, 3388, 780, 8334, 281, 3807, 3314, 547, 10605, 3054, 543, 4235, 7899, 540, 1216, 267, 2523, 1282, 519, 3905, 4832, 3275, 269, 1546, 5139, 1674, 666, 581, 513, 1483, 3390, 952, 596, 2811, 711, 6297, 780, 7692, 281, 6153, 1448, 267, 594, 3513, 1118, 2386, 547, 3251, 19872, 269, 8729, 585, 782, 519, 5363, 4388, 267, 7705, 2439, 8334, 281, 1411, 2811, 10950, 267, 7585, 269, 5620, 513, 1390, 7552, 543, 581, 2922, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 289, 1276, 3541, 2983, 8583, 23036, 572, 267, 1767, 609, 8834, 5576, 29195, 263, 476, 1220, 280, 267, 476, 273, 5515, 1040, 631, 2727, 517, 1938, 10418, 585, 11628, 5525, 263, 476, 1001, 277, 267, 476, 1001, 278, 1040, 546, 2345, 540, 519, 7665, 268, 23945, 1188, 4149, 1539, 1214, 543, 1705, 1200, 2070, 7629, 623, 2216, 10819, 540, 19556, 8212, 543, 593, 2146, 269, 476, 1220, 278, 268, 1001, 271, 1352, 941, 519, 1007, 1627, 636, 3757, 5741, 269, 11483, 10157, 264, 543, 2094, 476, 1001, 277, 2070, 7629, 1915, 2160, 540, 31297, 269, 15865, 7262, 1261, 330, 15595, 582, 9085, 269, 476, 1001, 272, 646, 8815, 18947, 17976, 337, 693, 519, 4659, 540, 9813, 5717, 693, 519, 6154, 773, 10713, 18945, 12670, 269, 476, 2735, 280, 5148, 3798, 328, 7967, 538, 3541, 1605, 19241, 1258, 4593, 1156, 19966, 263, 476, 1220, 275, 282, 609, 9410, 808, 269, 32746, 618, 324, 513, 639, 3541, 918, 23879, 518, 2637, 21289, 263, 476, 1960, 275, 267, 1960, 278, 267, 1960, 280, 1070, 590, 1030, 518, 5640, 263, 476, 1220, 280, 1040, 10952, 2070, 7629, 623, 2216, 543, 10543, 8470, 626, 269, 4914, 24233, 1296, 269, 3703, 7732, 267, 476, 1220, 278, 267, 543, 29042, 281, 3741, 540, 519, 8422, 18321, 338, 17194, 267, 2070, 7629, 623, 2216, 10819, 540, 19556, 8212, 267, 5771, 267, 29519, 269, 21213, 6381, 2070, 7629, 623, 2216, 10819, 540, 19556, 8212, 689, 715, 1695, 531, 670, 1197, 267, 29382, 291, 24163, 263, 476, 1960, 271, 267, 538, 5020, 609, 681, 269, 1576, 540, 519, 1514, 2622, 267, 6154, 773, 10713, 18945, 12670, 3010, 2237, 513, 2143, 17187, 5188, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 307, 30728, 1315, 5664, 5101, 1315, 5840, 2580, 6098, 693, 1453, 547, 4001, 873, 1455, 2631, 269, 634, 5188, 1058, 4125, 1079, 3197, 267, 7705, 543, 7585, 267, 7234, 4948, 3871, 543, 1818, 3664, 1759, 593, 1455, 2631, 269, 2422, 2241, 2474, 543, 513, 2067, 267, 2502, 3159, 269, 24372, 2521, 547, 281, 8528, 268, 19308, 2055, 543, 4267, 602, 12172, 519, 1888, 543, 1683, 4052, 1806, 543, 3137, 540, 1946, 1919, 4755, 267, 2014, 7146, 13716, 3347, 267, 543, 875, 1004, 3335, 2170, 538, 891, 3871, 269, 3097, 268, 20864, 7653, 602, 2154, 1620, 15749, 8100, 543, 13865, 10881, 547, 8207, 13509, 269, 3097, 2710, 711, 2446, 519, 1357, 1349, 543, 11716, 3877, 13061, 547, 519, 1888, 269, 0, 7170, 281, 1215, 547, 5269, 513, 17164, 762, 18706, 518, 1961, 4635, 31201, 540, 631, 2313, 3336, 590, 19281, 692, 3721, 476, 272, 281, 20283, 2659, 23123, 454, 2414, 1711, 513, 8949, 10448, 22101, 518, 1961, 1210, 8645, 540, 25487, 17339, 267, 1101, 5531, 707, 5820, 269, 1411, 786, 991, 1384, 265, 476, 273, 630, 1015, 269, 276, 12063, 264, 23691, 540, 8645, 540, 25487, 17339, 454, 265, 476, 272, 18470, 6404, 5388, 630, 7945, 607, 17436, 267, 3039, 10365, 267, 17112, 267, 543, 8970, 994, 265, 476, 272, 5420, 22323, 267, 22872, 454, 265, 476, 273, 804, 7174, 13342, 267, 1295, 1027, 454, 265, 476, 272, 7484, 27054, 4765, 10381, 630, 3481, 323, 541, 610, 4779, 3960, 732, 12848, 960, 1134, 994, 265, 476, 272, 7484, 5144, 454, 265, 17865, 543, 14723, 267, 547, 6492, 454, 265, 8838, 1308, 281, 476, 272, 7484, 11273, 7573, 610, 18437, 454, 265, 8838, 1308, 281, 476, 272, 270, 275, 7484, 3694, 322, 5300, 2125, 454, 265, 8838, 1308, 281, 932, 641, 6244, 4195, 11922, 267, 971, 607, 16163, 2917, 610, 16815, 1889, 692, 3721, 476, 273, 281, 2776, 17742, 744, 1597, 543, 16259, 645, 1136, 667, 880, 454, 7093, 17742, 707, 14089, 547, 476, 23841, 13790, 630, 5002, 9180, 1040, 13983, 848, 513, 1804, 11256, 8670, 609, 1875, 22496, 10936, 610, 7423, 780, 3721, 476, 274, 281, 590, 2246, 2946, 2201, 687, 543, 12275, 997, 454, 28959, 930, 3282, 538, 513, 1236, 32576, 936, 5420, 3002, 269, 5410, 519, 22872, 22323, 543, 3434, 2394, 21352, 539, 267, 827, 476, 276, 3764, 269, 5410, 519, 1295, 1027, 13342, 543, 3434, 585, 1776, 8792, 267, 28817, 4749, 865, 519, 13342, 1281, 711, 6633, 780, 3721, 476, 275, 281, 17186, 29641, 267, 31201, 540, 631, 2313, 3336, 590, 19281, 267, 22447, 267, 4258, 3150, 267, 543, 17897, 532, 454, 1103, 513, 1804, 12826, 267, 9192, 519, 1094, 583, 2946, 539, 19637, 543, 13342, 267, 6404, 5388, 267, 1312, 23691, 540, 8645, 540, 25487, 17339, 267, 5144, 267, 27054, 4765, 10381, 267, 6070, 267, 543, 14723, 269, 1403, 1210, 11273, 7573, 610, 18437, 267, 3575, 621, 538, 1631, 269, 853, 597, 2394, 782, 5820, 616, 14961, 5916, 780, 3721, 476, 276, 281, 18734, 631, 4869, 675, 547, 645, 1136, 667, 880, 454, 9558, 2536, 519, 10448, 7848, 883, 519, 6067, 1078, 11256, 8670, 267, 10825, 621, 856, 14961, 269, 14109, 30257, 519, 1283, 609, 3694, 322, 5300, 2125, 952, 5551, 269, 901, 666, 948, 10110, 4430, 5277, 1282, 11256, 543, 1683, 513, 8799, 29511, 344, 4494, 780, 3721, 476, 277, 281, 645, 820, 519, 18706, 518, 1961, 454, 289, 820, 20114, 585, 5111, 476, 1789, 268, 3374, 3764, 267, 610, 2394, 519, 8728, 616, 11164, 17331, 543, 519, 1283, 814, 5828, 11344, 6960, 269, 1280, 3773, 2681, 267, 6467, 519, 14089, 547, 2156, 559, 585, 606, 3606, 476, 273, 268, 274, 3764, 269, 5901, 513, 2673, 3750, 593, 519, 22101, 518, 1961, 1247, 2156, 4979, 547, 2061, 8781, 780, 3721, 476, 278, 281, 14190, 15346, 532, 543, 31160, 454, 7230, 913, 519, 19323, 10448, 22101, 518, 1961, 689, 519, 14089, 543, 1577, 621, 1964, 585, 476, 276, 268, 1015, 3764, 1354, 7674, 269, 901, 2636, 942, 585, 4163, 1478, 5986, 543, 2306, 621, 4443, 547, 6712, 269, 5440, 1367, 32122, 609, 18593, 22872, 4195, 11922, 899, 16163, 2917, 610, 16815, 1889, 269, 17949, 2439, 19522, 543, 13832, 1384, 265, 18461, 1863, 547, 21160, 707, 10448, 22101, 518, 1961, 676, 4946, 1114, 2010, 540, 19787, 1759, 593, 13283, 610, 8244, 269, 3807, 1832, 538, 2247, 519, 2949, 4320, 950, 14577, 9424, 563, 265, 1677, 2569, 9770, 6981, 267, 1904, 585, 1970, 1606, 18754, 8747, 540, 8645, 540, 25487, 17339, 269, 3958, 267, 3970, 519, 2179, 540, 3349, 6070, 1031, 538, 519, 11600, 610, 522, 2466, 7357, 952, 9053, 563, 265, 1280, 513, 10683, 6954, 4244, 267, 12990, 17310, 5144, 585, 2834, 5144, 543, 18178, 519, 10381, 269, 6733, 585, 513, 2030, 2861, 4528, 540, 8645, 540, 25487, 17339, 547, 2327, 2407, 10220, 609, 8192, 9993, 563, 265, 700, 1030, 1729, 951, 666, 581, 6740, 538, 606, 2011, 31259, 8708, 538, 519, 21067, 585, 909, 547, 1614, 2395, 269, 1234, 17742, 2582, 13980, 538, 519, 17196, 610, 3382, 519, 3003, 22101, 518, 1961, 8670, 609, 23240, 543, 556, 17742, 538, 519, 14089, 693, 476, 12573, 13790, 630, 5197, 9180, 264, 585, 827, 476, 736, 3764, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 290, 3195, 540, 25487, 17339, 568, 513, 6687, 17123, 12146, 602, 8591, 17381, 1299, 3178, 540, 8137, 547, 513, 2603, 540, 8286, 269, 1717, 267, 1018, 547, 1118, 609, 8645, 540, 25487, 17339, 888, 2467, 616, 11995, 3681, 547, 2263, 609, 713, 27598, 17339, 267, 2436, 596, 2972, 5929, 4313, 3536, 610, 616, 9599, 547, 2119, 1007, 32345, 563, 290, 3195, 540, 25487, 17339, 568, 513, 2442, 12146, 4122, 1336, 538, 1082, 6539, 29353, 563, 21132, 27598, 267, 3623, 5652, 9403, 543, 3618, 344, 25487, 6492, 1118, 621, 513, 8465, 9148, 547, 513, 3099, 540, 8286, 269, 4014, 621, 16919, 1390, 593, 922, 1378, 607, 513, 17339, 267, 621, 949, 849, 581, 519, 5748, 585, 513, 3099, 540, 824, 10346, 563, 1103, 713, 2376, 6930, 497, 507, 267, 649, 3580, 1413, 693, 519, 2640, 540, 27598, 25487, 17339, 267, 1455, 8286, 6220, 621, 267, 3860, 3096, 585, 621, 267, 2635, 8925, 267, 543, 1299, 4052, 5986, 4388, 563, 1432, 568, 31201, 540, 631, 2313, 3336, 590, 19281, 888, 290, 3195, 540, 25487, 17339, 6930, 354, 352, 568, 513, 14583, 540, 27772, 17339, 602, 568, 1500, 689, 513, 7848, 540, 17228, 267, 8645, 267, 26185, 267, 1299, 824, 4005, 902, 563, 2005, 2356, 7959, 5347, 543, 519, 10366, 616, 3638, 543, 17705, 269, 4014, 586, 3010, 13914, 540, 513, 2140, 585, 513, 14392, 2376, 1369, 519, 6389, 540, 834, 309, 1122, 564, 762, 18706, 518, 1961, 257, 607, 851, 540, 834, 23733, 1315, 20043, 1299, 2598, 1127, 1315, 18706, 518, 3421, 257, 602, 1223, 581, 1644, 547, 519, 1349, 1657, 269, 3973, 2328, 476, 513, 1279, 543, 1360, 2143, 5850, 827, 519, 2140, 596, 8359, 267, 538, 519, 2511, 540, 15825, 269, 634, 1543, 1058, 723, 519, 1739, 3898, 281, 7170, 23901, 12133, 25776, 21234, 285, 1007, 1899, 2999, 12133, 25996, 25606, 20101, 1684, 711, 1039, 1022, 3063, 1257, 7713, 1946, 596, 8359, 519, 2140, 563, 2521, 547, 1384, 268, 3417, 538, 3829, 3137, 585, 1142, 1900, 543, 875, 621, 2337, 3035, 519, 5551, 6364, 267, 1519, 1883, 4388, 543, 4808, 563, 268, 3550, 9355, 543, 16566, 538, 519, 15825, 5850, 267, 3850, 3988, 547, 3362, 1246, 543, 4019, 519, 5528, 269, 1684, 711, 946, 2592, 563, 268, 7994, 513, 13598, 2140, 602, 3085, 1405, 1445, 593, 13061, 1344, 538, 519, 1357, 1349, 269, 0, 5149, 476, 280, 281, 8431, 584, 1149, 543, 2107, 333, 4442, 26629, 806, 910, 589, 26812, 3215, 1306, 1051, 540, 28769, 24394, 1299, 3624, 4165, 2294, 1299, 11814, 17156, 692, 7072, 912, 763, 1158, 540, 1884, 2294, 543, 2445, 17156, 814, 2141, 1044, 10578, 267, 5356, 1350, 31663, 525, 883, 1686, 1247, 3246, 3255, 585, 2123, 4082, 543, 18399, 269, 7324, 1585, 2010, 540, 25447, 10070, 267, 28028, 19562, 1149, 543, 25798, 4773, 3180, 513, 2027, 1747, 1813, 547, 741, 10347, 5898, 543, 3140, 4644, 269, 901, 1770, 786, 5490, 2620, 883, 891, 9159, 3615, 267, 3695, 741, 8129, 267, 4720, 267, 7499, 1871, 267, 543, 5092 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 998, 3504, 1686, 972, 723, 2141, 1044, 2367, 630, 663, 2021, 264, 945, 723, 1185, 519, 2702, 547, 1118, 1866, 14902, 269, 595, 869, 985, 3180, 513, 14845, 1747, 538, 519, 1480, 20369, 3832, 789, 1118, 930, 1004, 14902, 267, 789, 1118, 930, 1004, 3956, 543, 789, 1118, 930, 1004, 269, 623, 10154, 3772, 519, 15472, 804, 1144, 568, 519, 1106, 1034, 4749, 3144, 676, 513, 593, 741, 3207, 344, 3276, 326, 781, 1686, 540, 32012, 885, 267, 12469, 543, 2527, 15294, 619, 563, 290, 31500, 1686, 1753, 804, 1144, 1686, 4945, 1934, 547, 3643, 519, 8258, 1782, 804, 1144, 8666, 21287, 1895, 593, 3068, 1504, 804, 12495, 540, 13314, 3486, 1093, 4216, 476, 14338, 269, 11146, 1412, 655, 610, 4625, 17512, 1881, 540, 873, 267, 972, 781, 1100, 5134, 1136, 804, 12495, 835, 540, 519, 1034, 4583, 804, 12495, 538, 1686, 568, 4080, 547, 723, 5280, 269, 595, 869, 985, 723, 513, 9867, 2245, 609, 1713, 7648, 538, 28076, 543, 2773, 519, 1034, 2369, 529, 762, 2413, 804, 1144, 1915, 568, 269, 1411, 666, 1224, 513, 2143, 1686, 540, 804, 12495, 2228, 538, 2110, 267, 789, 2408, 538, 12303, 1169, 1895, 540, 1004, 593, 3618, 267, 689, 3504, 2053, 547, 519, 2413, 2085, 563, 4407, 519, 6163, 540, 804, 12495, 723, 7960, 2094, 519, 2235, 639, 3181, 3176, 267, 519, 1909, 540, 519, 804, 1144, 607, 513, 3308, 3090, 540, 519, 2235, 639, 568, 1869, 2178, 713, 14266, 12116, 519, 1547, 4208, 4010, 723, 28869, 344, 804, 12495, 1831, 971, 513, 7708, 701, 538, 1402, 2528, 269, 20873, 9398, 267, 795, 22246, 267, 535, 8962, 543, 8945, 9094, 723, 1044, 6592, 2094, 519, 9998, 2053, 26131, 1014, 943, 21198, 338, 543, 3504, 6535, 753, 941, 519, 18689, 25808, 540, 519, 269, 1284, 616, 711, 11981, 519, 20740, 804, 1144, 6159, 2763, 630, 335, 27348, 281, 1205, 1399, 2592, 264, 538, 891, 4158, 267, 7334, 519, 476, 276, 1034, 9409, 804, 12495, 538, 1686, 581, 18507, 596, 563, 2791, 5749, 1405, 4805, 538, 707, 4250, 540, 17539, 12641, 611, 7038, 619, 1004, 723, 1044, 19225, 2989, 676, 804, 12495, 585, 5553, 269, 595, 869, 985, 723, 1044, 1472, 585, 5553, 267, 543, 1085, 2130, 1004, 689, 519, 1205, 30559, 3006, 609, 741, 4101, 2093, 267, 26648, 771, 27920, 585, 269, 1977, 16897, 1650, 281, 1381, 543, 17559, 804, 12495, 2429, 1686, 11540, 676, 887, 338, 773, 27585, 593, 694, 4697, 476, 1704, 267, 476, 1001, 278, 563, 2005, 655, 258, 281, 476, 5325, 273, 3583, 275, 4806, 3009, 281, 1071, 546, 333, 3944, 529, 325, 14833, 2465, 6609, 281, 804, 12495, 19052, 7819, 4806, 281, 552, 2548, 344, 3620, 626, 800, 540, 5929, 7038, 619, 1299, 804, 12495, 676, 546, 684, 4754, 269, 595, 869, 985, 723, 7902, 538, 1034, 4529, 2429, 1686, 519, 9998, 13006, 804, 12495, 979, 1394, 547, 3504, 26131, 267, 930, 942, 1472, 476, 7742, 271, 269, 595, 9567, 5268, 14113, 267, 610, 4250, 540, 804, 12495, 267, 4667, 24245, 538, 938, 2486, 519, 1686, 540, 804, 12495, 7389, 1394, 547, 5480, 795, 22246, 1294, 1946, 789, 1118, 930, 269, 0, 293, 1042, 15104, 729, 7142, 547, 2736, 1055, 1010, 12289, 540, 4425, 1335, 807, 267, 543, 11198, 1394, 883, 2398, 11701, 22306, 8513, 269, 966, 7596, 516, 340, 559, 4718, 9652, 607, 519, 3677, 3463, 543, 2366, 667, 625, 330, 879, 547, 10783, 853, 269, 1280, 519, 3501, 9740, 540, 606, 4550, 6261, 337, 11701, 22687, 267, 621, 729, 1034, 14909, 267, 607, 18087, 684, 6308, 4718, 267, 585, 6576, 543, 5333, 547, 2097, 547, 2474, 563, 3891, 12349, 741, 4070, 2645, 547, 3136, 2679, 1018, 2968, 10783, 13660, 13196, 928, 269, 2060, 519, 12614, 540, 5614, 267, 2705, 267, 555, 1177, 532, 6777, 338, 1500, 519, 7187, 9897, 791, 817, 762, 267, 543, 1010, 3196, 729, 17303, 1799, 984, 28895, 563, 8253, 1152, 602, 267, 855, 5333, 729, 679, 571, 3022, 267, 543, 17512, 1881, 267, 676, 519, 6727, 20729, 531, 540, 922, 1152, 24343, 269, 1717, 267, 602, 3357, 883, 4655, 609, 682, 10555, 5918, 887, 807, 3119, 3483, 540, 799, 729, 547, 23868, 519, 28592, 689, 12996, 693, 1022, 1942, 563, 303, 4394, 7921, 538, 15489, 3683, 12129, 267, 6115, 4843, 12142, 6261, 18824, 609, 519, 4484, 689, 20550, 342, 1342, 773, 14053, 606, 7525, 3943, 15639, 689, 519, 11882, 13474, 269, 9453, 3703, 24307, 2398, 17892, 1223, 711, 723, 10692, 593, 269, 634, 3943, 2229, 729, 1100, 1447, 14220, 693, 519, 5918, 13109, 540, 922, 835, 24343, 267, 2398, 17892, 563, 763, 595, 872, 802, 543, 4258, 6593, 525, 941, 1641, 547, 20320, 3646, 676, 1312, 519, 3943, 543, 3703, 547, 2744, 2901, 741, 1489, 610, 29591, 538, 519, 4655, 269, 901, 3296, 2115, 3606, 14327, 585, 19027, 563, 5445, 5433, 519, 3943, 1131, 5000, 741, 17174, 16167, 1851, 519, 3345, 1977, 25165, 547, 4323, 873, 269, 6736, 519, 5458, 29373, 538, 2338, 267, 519, 1032, 1185, 1044, 513, 3811, 835, 585, 519, 2398, 11701, 21445, 4229, 593, 519, 11782, 267, 538, 4334, 547, 14922, 532, 3703, 11044, 538, 3345, 3013, 563, 3849, 332, 12637, 11977, 8316, 651, 1033, 3737, 513, 3728, 27805, 1258, 547, 3345, 3013, 538, 606, 3801, 547, 18448, 873, 269, 2311, 519, 1376, 540, 519, 2112, 267, 1100, 3943, 2834, 7952, 10136, 941, 6728, 539, 538, 3345, 3013, 267, 543, 1906, 3703, 10136, 269, 19291, 4503, 1454, 540, 1010, 25044, 855, 1427, 8972, 538, 1434, 1931, 267, 5280, 676, 519, 29822, 3574, 539, 5251, 563, 3891, 9709, 606, 16529, 3444, 16644, 14128, 12289, 267, 609, 2244, 902, 1472, 5507, 543, 538, 10430, 269, 5689, 334, 282, 2705, 267, 713, 2962, 9863, 791, 24411, 269, 8316, 651, 1287, 31272, 18193, 267, 543, 538, 519, 11135, 540, 2372, 9200, 517, 7345, 5437, 476, 736, 1765, 2641, 519, 3943, 11124, 513, 23801, 14710, 563, 5445, 1185, 1044, 20916, 547, 1489, 519, 3943, 267, 609, 7247, 789, 1185, 1279, 9467, 3347, 269, 1635, 5239, 267, 2705, 267, 519, 3943, 1185, 1500, 9645, 3356, 7532, 1189, 563, 763, 17417, 1705, 711, 2015, 873, 26065, 543, 15286, 519, 12075, 689, 4174, 6137, 519, 14586, 540, 741, 3024, 1963, 267, 799, 606, 13499, 519, 12075, 269, 1261, 5497, 713, 607, 513, 12050, 840, 15041, 1632, 540, 606, 17191, 3243, 549, 6363, 3402, 12289, 540, 590, 3796, 807, 563, 2252, 2112, 1996, 5333, 585, 7810, 7269, 729, 547, 581, 759, 25390, 267, 1287, 12390, 1478, 1185, 547, 581, 17956, 1996, 30473, 6261, 337, 11701, 4323, 269, 634, 7952, 15354, 593, 476, 276, 4873, 693, 2052, 322, 4150, 7345, 2889, 3865, 539, 547, 853, 563, 1103, 519, 2038, 521, 267, 3943, 7269, 883, 519, 11882, 5211, 14860, 14578, 4547, 5333, 883, 11439, 4655, 609, 519, 3703, 10125, 269, 1403, 2112, 1996, 5333, 585, 7810, 7269, 729, 547, 581, 759, 25390, 267, 1287, 12390, 1478, 1185, 547, 581, 17956, 1996, 30473, 6261, 337, 11701, 4323, 563, 4002, 4873, 476, 2537, 267, 609, 476, 2412, 267, 2367, 267, 646, 17204, 476, 3583, 267, 2367, 896, 8402, 632, 25816, 2548, 267, 635, 974, 632, 1849, 1069, 2632, 267, 693, 918, 10915, 15505, 269, 1261, 13671, 1010, 2139, 4229, 1472, 5576, 933, 573, 333, 6308, 267, 855, 267, 1310, 1079, 3275, 540, 1236, 3305, 5109, 543, 15292, 532, 267, 519, 16167, 1198, 539, 741, 22882, 1063, 17389, 3913, 6308, 543, 808, 21516, 1631, 26836, 528, 267, 12996, 593, 4864, 1358, 1305, 1394, 1022, 3703, 13922, 585, 11044, 593, 8235, 14411, 543, 13155, 519, 14642, 933, 2998, 575, 28207, 267, 2907, 2110, 593, 7727, 7868, 3003, 3486, 4655, 568, 1634, 607, 519, 18599, 13012, 262, 2782, 563, 257, 5353, 1597, 13012, 257, 4016, 547, 2621, 538, 2342, 267, 689, 519, 4013, 17083, 540, 2112, 538, 547, 519, 19142, 540, 519, 4708, 14097, 538, 1452, 7389, 798, 711, 5330, 609, 269, 634, 18599, 13012, 2782, 267, 513, 2518, 4655, 1634, 538, 3013, 607, 519, 3943, 543, 4095, 2782, 267, 13166, 5956, 950, 4789, 32141, 2112, 593, 5333, 563, 4913, 267, 8165, 543, 1236, 3305, 8460, 1063, 4789, 543, 269, 3943, 543, 4095, 2782, 270, 5353, 1597, 13012, 685, 2782, 267, 1107, 634, 2112, 538, 3345, 3013, 12306, 883, 513, 26106, 655, 622, 585, 519, 1985, 1896, 1296, 267, 1247, 538, 2342, 519, 3943, 20639, 606, 1271, 17189, 11802, 543, 9676, 519, 3703, 15896, 540, 19724, 8619, 538, 519, 11335, 538, 1717, 267, 1310, 519, 2112, 3459, 547, 2490, 538, 3870, 540, 4279, 563, 763, 18599, 13012, 262, 2782, 630, 514, 5125, 3006, 1572, 519, 12059, 590, 3796, 1014, 2782, 264, 16768, 1063, 1107, 543, 3238, 782, 540, 519, 2101, 3864, 7060, 540, 519, 1974, 563, 763, 2112, 8486, 1540, 2398, 17892, 543, 6628, 543, 513, 22687, 540, 4130, 4436, 2829, 1996, 606, 19710, 9967, 540, 15212, 267, 5333, 267, 6576, 563, 5353, 1597, 13012, 262, 2782, 281, 18599, 13012, 685, 2782, 630, 1700, 8287, 1070, 519, 2063, 2101, 4655, 1354, 519, 3943, 7169, 547, 4125, 782, 519, 1390, 7060, 540, 2342, 563, 2005, 666, 849, 581, 2808, 519, 3864, 5123, 540, 513, 5001, 8370, 1296, 685, 2112, 10692, 1063, 5333, 543, 4279, 6628, 269, 6258, 811, 827, 519, 15180, 1845, 267, 24816, 267, 12959, 267, 543, 2164, 540, 519, 4655, 6185, 5877, 0, 30658, 582, 601, 1107, 8281, 607, 7300, 11711, 1547, 23486, 264, 610, 2070, 6881, 15942, 2228, 269, 17127, 779, 7313, 7497, 568, 519, 9998, 17005, 960, 540, 10565, 3069, 543, 1101, 31607, 10952, 10371, 5487, 19621, 320, 1019, 14163, 1774, 548, 552, 3288, 647, 320, 588, 18319, 267, 623, 13453, 6902, 15182, 14551, 339, 267, 808, 1421, 1912, 718, 657, 29736, 3768, 667, 603, 344, 1090, 321, 657, 269, 14163, 582, 7062, 3331, 376, 828, 3954, 772, 3464, 1440, 2426, 964, 17680, 3663, 4593, 1156, 269, 476, 866, 3057, 14163, 582, 601, 779, 7313, 2045, 320, 269, 769, 519, 4098, 267, 972, 568, 1480, 12416, 269, 1656, 24457, 269, 11090, 20278, 14516, 30475, 281, 18248, 269, 3503, 513, 6085, 269, 22227, 281, 476, 271, 269, 544, 684, 342, 758, 563, 347, 13775, 630, 8310, 2567, 1475, 2764, 5412, 476, 1001, 275, 2008, 347, 14457, 11711, 12025, 10573, 273, 269, 3953, 25253, 2008, 347, 324, 8530, 11711, 12025, 10573, 276, 269, 3451, 25253, 2008, 347, 25820, 10573, 10403, 265, 1496, 265, 10403, 3204, 338, 527, 1674, 22490, 316, 2008, 5804, 18573, 547, 519, 10558, 563, 5445, 616, 2147, 538, 519, 1249, 602, 789, 616, 782, 708, 14591, 855, 1114, 538, 19621, 320, 18211, 582, 601, 1614, 2081, 602, 17127, 6257, 15545, 10228, 7313, 2045, 320, 18211, 582, 601, 4964, 6032, 563, 14303, 7205, 689, 9232, 4179, 281, 18983, 2153, 1234, 6748, 713, 3758, 269, 7734, 827, 5339, 3069, 6348, 27395, 2835, 827, 16222, 7734, 827, 19621, 320, 18211, 582, 601, 15881, 26331, 18140, 2239, 9085, 827, 6965, 3718, 676, 17127, 589, 652, 12060, 19621, 320, 18211, 582, 601, 269, 17127, 30193, 1063, 519, 11964, 540, 968, 17763, 4479, 892, 538, 1614, 2081, 15545, 3004, 3022, 344, 568, 513, 6041, 540, 513, 3978, 267, 2347, 2962, 799, 814, 19621, 320, 18211, 582, 601, 267, 538, 30996, 1639, 4633, 267, 609, 1142, 540, 922, 2609, 19621, 320, 18211, 582, 601, 14384, 538, 519, 1496, 341, 13895, 316, 2694, 1496, 1993, 519, 1404, 316, 543, 1496, 21323, 316, 676, 1004, 9117, 543, 711, 676, 32538, 659, 1260, 680, 5109, 19621, 320, 18211, 582, 601, 1797, 540, 533, 640, 543, 9810, 519, 18216, 1513, 529, 540, 971, 4664, 563, 300, 1410, 4815, 814, 1296, 267, 25706, 814, 476, 4817, 1296, 267, 21896, 814, 476, 3199, 1296, 267, 19621, 320, 18211, 582, 601, 30188, 543, 6341, 10394, 723, 476, 4037, 1296, 563, 2005, 729, 2139, 538, 519, 5664, 12698, 543, 2038, 11193, 1152, 998, 513, 5824, 8144, 540, 606, 12428, 4528, 2854, 676, 589, 591, 549, 525, 269, 3143, 6688, 19621, 320, 18211, 582, 601, 30387, 713, 1957, 563, 17269, 292, 2316, 7563, 8121, 8780, 5588, 5085, 667, 32052, 26183, 4696, 454, 1607, 3758, 814, 1044, 4857, 607, 1373, 1863, 540, 1634, 9993, 896, 10677, 1876, 267, 1519, 782, 1644, 543, 15231, 2924, 563, 2690, 519, 513, 761, 338, 582, 601, 540, 5339, 3029, 543, 11407, 267, 1294, 7313, 2045, 320, 18211, 582, 601, 269, 7102, 3118, 267, 16109, 689, 606, 1561, 6665, 2218, 4098, 1312, 13357, 543, 18792, 1765, 10177, 3022, 344, 689, 519, 3401, 540, 519, 19621, 320, 18211, 582, 14657, 18792, 513, 1009, 582, 601, 519, 3401, 540, 519, 19621 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3393, 276, 15010, 272, 282, 476, 27174, 15010, 272, 282, 476, 3393, 278, 15010, 272, 282, 476, 3393, 279, 15010, 272, 282, 476, 3393, 280, 15010, 272, 282, 476, 29121, 15010, 271, 282, 476, 5379, 272, 15010, 271, 282, 476, 5379, 273, 15010, 272, 282, 476, 5379, 274, 15010, 271, 282, 476, 275, 5038, 15010, 271, 282, 476, 275, 4792, 15010, 271, 282, 476, 5379, 277, 15010, 271, 282, 476, 5379, 278, 15010, 271, 282, 476, 5379, 279, 15010, 271, 282, 476, 5379, 280, 15010, 271, 282, 476, 30420, 15010, 271, 282, 476, 5325, 272, 15010, 271, 282, 476, 5325, 273, 15010, 272, 282, 476, 5325, 274, 15010, 271, 282, 476, 5325, 275, 15010, 271, 282, 476, 275, 4037, 15010, 271, 282, 476, 5325, 277, 15010, 271, 282, 476, 5325, 278, 15010, 271, 282, 476, 275, 4281, 15010, 271, 282, 476, 5325, 280, 15010, 271, 282, 476, 21878, 15010, 271, 282, 476, 4366, 272, 15010, 271, 282, 476, 4366, 273, 15010, 272, 282, 476, 4366, 274, 15010, 271, 282, 476, 4366, 275, 15010, 271, 282, 476, 4366, 276, 15010, 271, 282, 476, 4366, 277, 15010, 271, 282, 476, 4366, 278, 15010, 271, 282, 476, 4366, 279, 15010, 271, 282, 476, 4366, 280, 15010, 271, 282, 476, 275, 3445, 15010, 271, 282, 476, 5392, 272, 15010, 271, 282, 476, 5392, 273, 15010, 272, 282, 476, 5392, 274, 15010, 271, 282, 476, 5392, 275, 15010, 271, 282, 476, 275, 4817, 15010, 271, 282, 476, 5392, 277, 15010, 271, 282, 476, 5392, 278, 15010, 271, 282, 476, 5392, 279, 15010, 271, 282, 476, 275, 4200, 15010, 271, 282, 476, 4335, 15010, 271, 282, 476, 26341, 15010, 271, 282, 476, 2004, 273, 15010, 272, 282, 476, 2004, 274, 15010, 271, 282, 476, 27843, 15010, 271, 282, 476, 31746, 15010, 271, 282, 476, 2004, 277, 15010, 271, 282, 476, 2004, 278, 15010, 271, 282, 476, 2004, 279, 15010, 271, 282, 476, 2004, 280, 15010, 271, 282, 476, 27944, 15010, 271, 282, 476, 276, 1556, 15010, 271, 282, 476, 24423, 15010, 272, 282, 476, 276, 1724, 15010, 271, 282, 476, 276, 1691, 15010, 271, 282, 476, 276, 1428, 15010, 271, 282, 476, 276, 1626, 15010, 271, 282, 476, 276, 1704, 15010, 271, 282, 476, 276, 1240, 15010, 271, 282, 476, 31982, 15010, 271, 282, 476, 26392, 15010, 271, 282, 476, 276, 2641, 15010, 271, 282, 476, 276, 2420, 15010, 272, 282, 476, 276, 2537, 15010, 271, 282, 476, 276, 2190, 15010, 271, 282, 476, 30589, 15010, 271, 282, 476, 276, 2918, 15010, 271, 282, 476, 276, 2767, 15010, 271, 282, 476, 276, 2764, 15010, 271, 282, 476, 276, 3066, 15010, 271, 282, 476, 30019, 15010, 271, 282, 476, 276, 4029, 15010, 271, 282, 476, 276, 3953, 15010, 272, 282, 476, 276, 3451, 15010, 271, 282, 476, 276, 4097, 15010, 271, 282, 476, 276, 3374, 15010, 271, 282, 476, 276, 3607, 15010, 271, 282, 476, 276, 4391, 15010, 271, 282, 476, 276, 4343, 15010, 271, 282, 476, 276, 4375, 15010, 271, 282, 476, 25851, 15010, 271, 282, 476, 276, 6078, 15010, 271, 282, 476, 276, 5655, 15010, 272, 282, 476, 276, 6246, 15010, 271, 282, 476, 276, 4510, 15010, 271, 282, 476, 276, 3393, 15010, 271, 282, 476, 276, 5379, 15010, 271, 282, 476, 276, 5325, 15010, 271, 282, 476, 276, 4366, 15010, 271, 282, 476, 276, 5392, 15010, 271, 282, 476, 20862, 15010, 272, 282, 476, 4649, 272, 15010, 272, 282, 476, 4649, 273, 15010, 273, 282, 476, 4649, 274, 15010, 272, 282, 476, 4649, 275, 15010, 272, 282, 476, 27898, 15010, 272, 282, 476, 4649, 277, 15010, 272, 282, 476, 4649, 278, 15010, 272, 282, 476, 4649, 279, 15010, 272, 282, 476, 4649, 280, 15010, 272, 282, 476, 28794, 15010, 271, 282, 476, 6321, 272, 15010, 271, 282, 476, 6321, 273, 15010, 272, 282, 476, 6321, 274, 15010, 271, 282, 476, 276, 5038, 15010, 271, 282, 476, 276, 4792, 15010, 271, 282, 476, 276, 5780, 15010, 271, 282, 476, 6321, 278, 15010, 271, 282, 476, 6321, 279, 15010, 271, 282, 476, 6321, 280, 15010, 271, 282, 476, 31816, 15010, 271, 282, 476, 6872, 272, 15010, 271, 282, 476, 6872, 273, 15010, 272, 282, 476, 6872, 274, 15010, 271, 282, 476, 6872, 275, 15010, 271, 282, 476, 276, 4037, 15010, 271, 282, 476, 6872, 277, 15010, 271, 282, 476, 276, 6507, 15010, 271, 282, 476, 276, 4281, 15010, 271, 282, 476, 6872, 280, 15010, 271, 282, 476, 276, 3199, 15010, 271, 282, 476, 6812, 272, 15010, 271, 282, 476, 6812, 273, 15010, 272, 282, 476, 6812, 274, 15010, 271, 282, 476, 6812, 275, 15010, 271, 282, 476, 276, 5952, 15010, 271, 282, 476, 6812, 277, 15010, 271, 282, 476, 6812, 278, 15010, 271, 282, 476, 276, 6434, 15010, 271, 282, 476, 6812, 280, 15010, 271, 282, 476, 276, 3445, 15010, 271, 282, 476, 6795, 272, 15010, 271, 282, 476, 30020, 15010, 272, 282, 476, 6795, 274, 15010, 271, 282, 476, 6795, 275, 15010, 271, 282, 476, 276, 4817, 15010, 271, 282, 476, 6795, 277, 15010, 271, 282, 476, 6795, 278, 15010, 271, 282, 476, 6795, 279, 15010, 271, 282, 476, 276, 4200, 15010, 271, 282, 476, 7785, 15010, 271, 282, 476, 31430, 15010, 271, 282, 476, 2568, 273, 15010, 272, 282, 476, 2568, 274, 15010, 271, 282, 476, 2568, 275, 15010, 271, 282, 476, 2568, 276, 15010, 271, 282, 476, 2568, 277, 15010, 271, 282, 476, 2568, 278, 15010, 271, 282, 476, 2568, 279, 15010, 271, 282, 476, 2568, 280, 15010, 271, 282, 476, 29637, 15010, 271, 282, 476, 277, 1556, 15010, 271, 282, 476, 277, 1321, 15010, 272, 282, 476, 277, 1724, 15010, 271, 282, 476, 277, 1691, 15010, 271, 282, 476, 277, 1428, 15010, 271, 282, 476, 277, 1626, 15010, 271, 282, 476, 277, 1704, 15010, 271, 282, 476, 277, 1240, 15010, 271, 282, 476, 277, 866, 15010, 271, 282, 476, 30663, 15010, 271, 282, 476, 277, 2641, 15010, 271, 282, 476, 25118, 15010, 272, 282, 476, 277, 2537, 15010, 271, 282, 476, 277, 2190, 15010, 271, 282, 476, 27698, 15010, 271, 282, 476, 277, 2918, 15010, 271, 282, 476, 277, 2767, 15010, 271, 282, 476, 277, 2764, 15010, 271, 282, 476, 277, 3066, 15010, 271, 282, 476, 30697, 15010, 271, 282, 476, 277, 4029, 15010, 271, 282, 476, 277, 3953, 15010, 272, 282, 476, 277, 3451, 15010, 271, 282, 476, 277, 4097, 15010, 271, 282, 476, 277, 3374, 15010, 271, 282, 476, 277, 3607, 15010, 271, 282, 476, 277, 4391, 15010, 271, 282, 476, 277, 4343, 15010, 271, 282, 476, 277, 4375, 15010, 271, 282, 476, 25953, 15010, 271, 282, 476, 5038, 272, 15010, 271, 282, 476, 5038, 273, 15010, 272, 282, 476, 5038, 274, 15010, 271, 282, 476, 277, 4510, 15010, 271, 282, 476, 277, 3393, 15010, 271, 282, 476, 5038, 277, 15010, 271, 282, 476, 5038, 278, 15010, 271, 282, 476, 277, 4366, 15010, 271, 282, 476, 5038, 280, 15010, 271, 282, 476, 20981, 15010, 272, 282, 476, 4792, 272, 15010, 272, 282, 476, 4792, 273, 15010, 273, 282, 476, 4792, 274, 15010, 272, 282, 476, 4792, 275, 15010, 272, 282, 476, 277, 4649, 15010, 272, 282, 476, 4792, 277, 15010, 272, 282, 476, 4792, 278, 15010, 272, 282, 476, 4792, 279, 15010, 272, 282, 476, 4792, 280, 15010, 272, 282, 476, 32133, 15010, 271, 282, 476, 5780, 272, 15010, 271, 282, 476, 5780, 273, 15010, 272, 282, 476, 5780, 274, 15010, 271, 282, 476, 277, 5038, 15010, 271, 282, 476, 277, 4792, 15010, 271, 282, 476, 26116, 15010, 271, 282, 476, 5780, 278, 15010, 271, 282, 476, 5780, 279, 15010, 271, 282, 476, 5780, 280, 15010, 271, 282, 476, 277, 3583, 15010, 271, 282, 476, 6858, 272, 15010, 271, 282, 476, 6858, 273, 15010, 272, 282, 476, 6858, 274, 15010, 271, 282, 476, 6858, 275, 15010, 271, 282, 476, 277, 4037, 15010, 271, 282, 476, 6858, 277, 15010, 271, 282, 476, 277, 6507, 15010, 271, 282, 476, 277, 4281, 15010, 271, 282, 476, 6858, 280, 15010, 271, 282, 476, 27151, 15010, 271, 282, 476, 6924, 272, 15010, 271, 282, 476, 6924, 273, 15010, 272, 282, 476, 6924, 274, 15010, 271, 282, 476, 6924, 275, 15010, 271, 282, 476, 277, 5952, 15010, 271, 282, 476, 6924, 277, 15010, 271, 282, 476, 6924, 278, 15010, 271, 282, 476, 277, 6434, 15010, 271, 282, 476, 6924, 280, 15010, 271, 282, 476, 277, 3445, 15010, 271, 282, 476, 7597, 272, 15010, 271, 282, 476, 7597, 273, 15010, 272, 282, 476, 7597, 274, 15010, 271, 282, 476, 7597, 275, 15010, 271, 282, 476, 277, 4817, 15010, 271, 282, 476, 7597, 277, 15010, 271, 282, 476, 7597, 278, 15010, 271, 282, 476, 277, 7176, 15010, 271, 282, 476, 277, 4200, 15010, 271, 282, 476, 10384, 15010, 271, 282, 476, 3583, 272, 15010, 271, 282, 476, 3583, 273, 15010, 272, 282, 476, 3583, 274, 15010, 271, 282, 476, 3583, 275, 15010, 271, 282, 476, 3583, 276, 15010, 271, 282, 476, 3583, 277, 15010, 271, 282, 476, 3583, 278, 15010, 271, 282, 476, 3583, 279, 15010, 271, 282, 476, 3583, 280, 15010, 271, 282, 476, 278, 1015, 15010, 271, 282, 476, 278, 1556, 15010, 271, 282, 476, 278, 1321, 15010, 272, 282, 476, 278, 1724, 15010, 271, 282, 476, 278, 1691, 15010, 271, 282, 476, 278, 1428, 15010, 271, 282, 476, 278, 1626, 15010, 271, 282, 476, 278, 1704, 15010, 271, 282, 476, 278, 1240, 15010, 271, 282, 476, 278, 866, 15010, 271, 282, 476, 24798, 15010, 271, 282, 476, 278, 2641, 15010, 271, 282, 476, 278, 2420, 15010, 272, 282, 476, 278, 2537, 15010, 271, 282, 476, 278, 2190, 15010, 271, 282, 476, 278, 1839, 15010, 271, 282, 476, 278, 2918, 15010, 271, 282, 476, 278, 2767, 15010, 271, 282, 476, 278, 2764, 15010, 271, 282, 476, 278, 3066, 15010, 271, 282, 476, 278, 1789, 15010, 271, 282, 476, 278, 4029, 15010, 271, 282, 476, 278, 3953, 15010, 272, 282, 476, 278, 3451, 15010, 271, 282, 476, 278, 4097, 15010, 271, 282, 476, 278, 3374, 15010, 271, 282, 476, 278, 3607, 15010, 271, 282, 476, 278, 4391, 15010, 271, 282, 476, 278, 4343, 15010, 271, 282, 476, 278, 4375, 15010, 271, 282, 476, 278, 2412, 15010, 271, 282, 476, 278, 6078, 15010, 271, 282, 476, 278, 5655, 15010, 272, 282, 476, 278, 6246, 15010, 271, 282, 476, 278, 4510, 15010, 271, 282, 476, 278, 3393, 15010, 271, 282, 476, 278, 5379, 15010, 271, 282, 476, 278, 5325, 15010, 271, 282, 476, 278, 4366, 15010, 271, 282, 476, 278, 5392, 15010, 271, 282, 476, 16020, 15010, 272, 282, 476, 4037, 272, 15010, 272, 282, 476, 4037, 273, 15010, 273, 282, 476, 4037, 274, 15010, 272, 282, 476, 4037, 275, 15010, 272, 282, 476, 4037, 276, 15010, 272, 282, 476, 4037, 277, 15010, 272, 282, 476, 4037, 278, 15010, 272, 282, 476, 4037, 279, 15010, 272, 282, 476, 4037, 280, 15010, 272, 282, 476, 31318, 15010, 271, 282, 476, 278, 8618, 15010, 271, 282, 476, 278, 7830, 15010, 272, 282, 476, 278, 8287, 15010, 271, 282, 476, 278, 5038, 15010, 271, 282, 476, 278, 4792, 15010, 271, 282, 476, 278, 5780, 15010, 271, 282, 476, 278, 6858, 15010, 271, 282, 476, 278, 6924, 15010, 271, 282, 476, 278, 7597, 15010, 271, 282, 476, 278, 3583, 15010, 271, 282, 476, 6507, 272, 15010, 271, 282, 476, 6507, 273, 15010, 272, 282, 476, 6507, 274, 15010, 271, 282, 476, 6507, 275, 15010, 271, 282, 476, 278, 4037, 15010, 271, 282, 476, 6507, 277, 15010, 271, 282, 476, 6507, 278, 15010, 271, 282, 476, 278, 4281, 15010, 271, 282, 476, 6507, 280, 15010, 271, 282, 476, 278, 3199, 15010, 271, 282, 476, 4281, 272, 15010, 271, 282, 476, 4281, 273, 15010, 272, 282, 476, 4281, 274, 15010, 271, 282, 476, 4281, 275, 15010, 271, 282, 476, 4281, 276, 15010, 271, 282, 476, 4281, 277, 15010, 271, 282, 476, 4281, 278, 15010, 271, 282, 476, 4281, 279, 15010, 271, 282, 476, 4281, 280, 15010, 271, 282, 476, 278, 3445, 15010, 271, 282, 476, 8064, 272, 15010, 271, 282, 476, 8064, 273, 15010, 272, 282, 476, 8064, 274, 15010, 271, 282, 476, 8064, 275, 15010, 271, 282, 476, 278, 4817, 15010, 271, 282, 476, 8064, 277, 15010, 271, 282, 476, 8064, 278, 15010, 271, 282, 476, 278, 7176, 15010, 271, 282, 476, 278, 4200, 15010, 271, 282, 476, 8517, 15010, 271, 282, 476, 3199, 272, 15010, 271, 282, 476, 26764, 15010, 272 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2107, 950, 621, 779, 476, 272, 281, 1428, 267, 649, 2161, 621, 779, 968, 638, 6621, 1310, 835, 6100, 2311, 8792, 476, 3393, 267, 649, 2161, 621, 779, 968, 638, 6621, 547, 892, 519, 1985, 5662, 269, 1280, 1383, 267, 693, 476, 276, 281, 3393, 267, 649, 2161, 621, 779, 968, 638, 6621, 547, 3670, 892, 630, 528, 476, 1428, 3764, 1354, 476, 277, 281, 876, 6393, 8450, 849, 1109, 1215, 13518, 6496, 5450, 549, 4425, 7631, 932, 1618, 1280, 589, 19468, 286, 1715, 692, 1012, 1215, 1082, 5195, 616, 538, 2549, 2678, 2496, 1692, 1082, 5195, 538, 513, 11281, 286, 476, 272, 25451, 568, 3160, 547, 476, 271, 269, 1822, 277, 2641, 4391, 5195, 267, 799, 568, 519, 7503, 3815, 689, 7397, 547, 5195, 780, 2162, 476, 4968, 281, 634, 15937, 476, 4968, 1530, 6948, 630, 704, 4257, 519, 1034, 12473, 476, 276, 3764, 540, 14557, 26517, 1686, 256, 2020, 4968, 281, 634, 15937, 476, 4968, 1530, 6948, 630, 704, 4257, 519, 1034, 12473, 476, 276, 3764, 540, 14557, 26517, 1686, 26695, 4968, 281, 634, 15937, 476, 4968, 1530, 6948, 630, 704, 4257, 519, 1034, 12473, 476, 276, 3764, 540, 14557, 26517, 1686, 256, 2020, 1012, 1215, 1082, 7643, 649, 723, 538, 513, 1554, 2496, 2467, 616, 476, 10436, 267, 6110, 7643, 538, 513, 1554, 780, 1012, 1215, 1082, 7643, 616, 972, 538, 476, 2190, 31477, 2496, 17798, 972, 616, 476, 10436, 267, 6110, 7643, 538, 513, 1554, 780, 16665, 19707, 692, 1892, 875, 1082, 3108, 568, 476, 4968, 7643, 454, 1892, 875, 1082, 568, 476, 4968, 7643, 454, 1892, 875, 1454, 568, 476, 4968, 7643, 547, 3764, 454, 1892, 476, 6110, 7643, 547, 3764, 454, 1892, 875, 1454, 942, 568, 476, 4968, 7643, 454, 1892, 476, 22213, 7643, 547, 3764, 454, 1892, 476, 4968, 7643, 547, 3108, 454, 1892, 476, 1220, 7643, 454, 1892, 875, 1454, 568, 519, 1379, 540, 476, 4968, 795, 537, 956, 540, 1648, 616, 10057, 538, 476, 1428, 7643, 454, 1892, 476, 4968, 271, 7643, 454, 1892, 875, 1454, 568, 476, 4968, 3764, 538, 3108, 454, 1892, 875, 1082, 3764, 616, 476, 4968, 7643, 454, 1892, 875, 1454, 568, 476, 4968, 7643, 538, 3108, 543, 3764, 454, 1892, 875, 1454, 568, 476, 4968, 7643, 538, 513, 8792, 454, 1892, 476, 4968, 7643, 22245, 454, 1892, 875, 1454, 568, 476, 4968, 1295, 454, 1892, 875, 1454, 568, 476, 4968, 476, 1822, 7643, 454, 1892, 875, 1454, 568, 476, 1220, 3764, 454, 1892, 476, 4335, 7643, 692, 1012, 6176, 1644, 547, 519, 1888, 875, 1454, 568, 476, 4968, 7643, 692, 2080, 616, 519, 3406, 2164, 540, 519, 8142, 875, 1454, 568, 476, 4968, 7643, 689, 29078, 269, 1411, 666, 1224, 811, 952, 596, 1616, 780, 2791, 723, 1175, 2097, 2066, 606, 2376, 593, 519, 1888, 875, 1454, 568, 476, 4968, 7643, 269, 1403, 596, 1336, 713, 2376, 3730, 267, 5225, 2671, 621, 269, 11289, 596, 1360, 1454, 269, 0, 11243, 281, 26114, 14630, 281, 6303, 13090, 692, 19478, 721, 547, 1205, 606, 8216, 476, 736, 260, 10958, 593, 3810, 2500, 918, 268, 1321, 4569, 1299, 2296, 737, 342, 714, 25892, 15789, 2439, 2162, 4400, 3427, 9119, 910, 476, 2641, 269, 272, 7392, 540, 10606, 281, 7849, 267, 19940, 267, 6715, 619, 267, 21929, 267, 7054, 16884, 1299, 7464, 692, 20332, 10606, 18217, 2187, 20332, 10606, 616, 10203, 2338, 689, 476, 272, 267, 273, 267, 274, 267, 275, 267, 276, 267, 5541, 2807, 19601, 301, 815, 2715, 272, 267, 273, 267, 274, 267, 275, 267, 276, 267, 9982, 10926, 2662, 1961, 10606, 630, 310, 2187, 2662, 1961, 2338, 616, 2067, 2338, 1519, 4642, 269, 1358, 616, 476, 271, 267, 272, 267, 273, 267, 274, 267, 275, 267, 276, 267, 5541, 2807, 2483, 310, 815, 2715, 271, 267, 272, 267, 273, 267, 274, 267, 275, 267, 276, 267, 5541, 27401, 8679, 310, 815, 476, 271, 1341, 715, 692, 31339, 10606, 912, 31339, 2338, 616, 267, 476, 272, 267, 273, 2073, 274, 2073, 275, 2073, 276, 5541, 27401, 2483, 31339, 10606, 281, 2715, 272, 267, 476, 273, 267, 476, 274, 267, 1547, 1547, 1547, 10926, 27078, 894, 10606, 912, 27078, 894, 2338, 616, 267, 476, 5541, 2807, 268, 274, 267, 910, 273, 267, 910, 272, 563, 27078, 894, 9981, 281, 2715, 1547, 1547, 1547, 910, 274, 267, 910, 273, 267, 910, 272, 10926, 18204, 619, 630, 313, 17107, 1892, 19940, 10606, 1927, 609, 2942, 2338, 563, 1892, 6715, 619, 616, 1305, 5627, 519, 2318, 2338, 267, 476, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 23099, 267, 543, 2942, 2338, 267, 5541, 2807, 268, 274, 267, 910, 273, 267, 910, 272, 267, 1927, 609, 4642, 563, 1892, 20023, 568, 9444, 2318, 6862, 2942, 267, 855, 568, 1312, 563, 1892, 769, 824, 1913, 267, 6715, 619, 616, 3989, 607, 1305, 540, 2898, 2338, 543, 741, 1727, 657, 2572, 563, 1892, 2098, 815, 2715, 24222, 910, 274, 267, 910, 273, 267, 910, 272, 267, 476, 271, 267, 476, 272, 267, 476, 273, 267, 476, 274, 267, 10371, 1862, 10926, 305, 1049, 10606, 630, 304, 17107, 1892, 2353, 2338, 540, 519, 1106, 2073, 1141, 513, 543, 536, 616, 9981, 630, 8117, 536, 3112, 581, 4642, 994, 1892, 21929, 2338, 1331, 8454, 912, 265, 7743, 26271, 281, 10606, 4130, 982, 476, 272, 19838, 281, 476, 272, 270, 273, 610, 476, 274, 270, 275, 454, 265, 8555, 704, 26271, 281, 10606, 3152, 982, 476, 272, 19838, 281, 476, 276, 270, 273, 454, 265, 24908, 26271, 281, 476, 273, 476, 272, 270, 273, 815, 476, 276, 270, 273, 454, 1892, 25024, 543, 4009, 5072, 949, 581, 7787, 2338, 952, 741, 3044, 1106, 568, 513, 7787, 1297, 563, 1892, 769, 7787, 2338, 519, 14009, 3112, 581, 4642, 454, 7078, 912, 273, 666, 581, 6829, 538, 519, 1106, 540, 533, 270, 336, 607, 476, 273, 270, 272, 454, 268, 1724, 270, 280, 815, 910, 272, 269, 29900, 2807, 2483, 279, 268, 273, 815, 476, 271, 269, 27888, 27698, 454, 263, 1626, 8358, 274, 815, 476, 275, 270, 274, 815, 24706, 272, 269, 18357, 2483, 275, 815, 476, 273, 476, 272, 270, 273, 815, 476, 271, 269, 476, 276, 476, 955, 268, 21929, 630, 32558, 919, 994, 273, 270, 274, 815, 476, 271, 269, 26116, 26116, 277, 2807, 1862, 305, 1049, 630, 516, 701, 1846, 994, 276, 270, 1556, 815, 476, 271, 269, 3393, 275, 276, 3393, 27401, 305, 1049, 630, 516, 701, 1846, 2020, 296, 337, 16884, 10606, 1627, 272, 1384, 1892, 2052, 2254, 581, 6829, 607, 513, 5223, 540, 9981, 563, 1892, 1306, 17447, 789, 2760, 10956, 610, 2165, 3729, 630, 1674, 1023, 2141, 798, 835, 610, 519, 824, 994, 1892, 1358, 979, 593, 585, 2479, 610, 20581, 563, 7078, 281, 476, 273, 267, 476, 274, 267, 476, 278, 267, 476, 279, 454, 338, 13645, 3597, 540, 476, 273, 815, 476, 273, 815, 476, 272, 269, 476, 29300, 22659, 6321, 27401, 296, 337, 16884, 630, 6866, 28197, 610, 2165, 7149, 994, 7032, 815, 533, 815, 476, 2420, 270, 278, 815, 476, 274, 269, 15221, 30020, 4792, 2807, 1862, 7054, 16884, 630, 6866, 28197, 610, 2165, 7149, 2020, 18600, 10606, 681, 1384, 1892, 7464, 10606, 616, 1169, 1297, 267, 19450, 610, 7787, 563, 1892, 7102, 1297, 602, 596, 666, 1265, 593, 519, 1297, 1899, 563, 1892, 898, 568, 513, 1297, 2838, 547, 6003, 1022, 1448, 593, 519, 1297, 1899, 282, 610, 621, 568, 513, 1297, 602, 4408, 519, 3845, 540, 1022, 1448, 689, 476, 271, 563, 1892, 681, 815, 1627, 1341, 1627, 272, 454, 1892, 7849, 10606, 616, 19940, 10606, 267, 799, 616, 6715, 619, 267, 799, 616, 21929, 10606, 267, 799, 616, 7464, 10606, 563, 1892, 7054, 16884, 10606, 616, 7464, 10606, 267, 855, 711, 782, 7464, 10606, 616, 7054, 16884, 10606, 780, 14300, 912, 476, 271, 269, 3393, 7787, 1483, 476, 274, 269, 15221, 30020, 4792, 274, 276, 9982, 1862, 19450, 267, 1483, 476, 274, 269, 15221, 6795, 7787, 267, 1483, 476, 271, 2898, 267, 8870, 267, 7787, 267, 1483, 476, 276, 270, 274, 7787, 267, 1483, 476, 272, 476, 273, 270, 274, 815, 476, 276, 270, 274, 7787, 267, 1483, 24706, 273, 815, 476, 272, 269, 476, 29300, 22659, 6321, 27401, 19450, 267, 1483, 910, 12126, 10037, 815, 910, 280, 8870, 267, 7787, 267, 1483, 910, 280, 270, 274, 7787, 267, 1483, 24706, 1839, 815, 476, 276, 2067, 267, 2898, 267, 8870, 267, 7787, 267, 1483, 476, 280, 270, 274, 815, 476, 274, 2067, 267, 2898, 267, 8870, 267, 7787, 267, 1483, 910, 274, 270, 275, 7787, 267, 1483, 533, 815, 476, 274, 269, 16318, 5952, 278, 272, 1862, 19450, 267, 1483, 476, 274, 269, 13893, 29900, 2807, 1862, 7787, 267, 1483, 630, 26238, 621, 568, 513, 18110, 8918, 2020, 17445, 687, 281, 7994, 519, 2953, 2626, 269, 4746, 267, 2328, 2947, 1806, 540, 707, 1378, 585, 1142, 1826, 540, 1297, 563, 1627, 476, 272, 281, 1323, 8870, 568, 513, 7787, 1297, 12171, 4426, 12148, 1627, 476, 273, 281, 24706, 1626, 10864, 520, 1853, 1049, 597, 16884, 1627, 476, 274, 281, 10576, 519, 7054, 16884, 7089, 32564, 274, 269, 1691, 6912, 263, 10037, 264, 10755, 270, 2641, 1627, 476, 275, 281, 6904, 540, 519, 1739, 568, 1483, 1297, 286, 1911, 271, 718, 540, 891, 276, 269, 280, 338, 13645, 3597, 540, 476, 273, 1627, 476, 276, 281, 10576, 519, 19940, 7089, 269, 278, 269, 13670, 270, 274, 6912, 263, 279, 264, 279, 270, 275, 1627, 476, 277, 281, 6904, 568, 10691, 513, 21929, 7089, 286, 6912, 263, 275, 264, 274, 269, 1691, 6912, 263, 273, 264, 271, 1627, 476, 278, 281, 1627, 1341, 1627, 272, 815, 12223, 305, 1049, 2338, 1627, 296, 337, 16884, 2338, 1627, 272, 18600, 2338, 681, 1627, 476, 279, 281, 589, 7787, 1297, 568, 849, 606, 8870, 269, 630, 295, 842, 281, 476, 275, 270, 272, 568, 606, 8870, 855, 476, 273, 270, 274, 568, 711, 4700, 16178, 12148, 7726, 476, 280, 281, 901, 2243, 568, 2139, 547, 32224, 1152, 256, 7726, 476, 1015, 281, 901, 2243, 568, 2139, 547, 32224, 1152, 256, 0, 258, 21940, 2456, 538, 3002, 3830, 692, 296, 723, 713, 3002, 3830, 1384, 259, 340, 4671, 815, 476, 280, 340, 3709, 16282, 348, 910, 476, 278, 340, 1341, 535, 3287, 25722, 1070, 6911, 259, 325, 3287, 25722, 264, 815, 476, 272, 282, 476, 271, 2999, 1535, 2999, 561, 282, 476, 271, 2999, 512, 2999, 570, 6911, 259, 340, 3287, 267, 271, 264, 815, 476, 277, 343, 317, 273, 910, 476, 276, 343, 1341, 273, 6911, 259, 340, 263, 271, 25722, 264, 815, 476, 274, 339, 1341, 476, 273, 6911, 259, 340, 10857, 25722, 264, 815, 512, 1341, 476, 274, 6911, 259, 331, 815, 476, 272, 6911, 7069, 1966, 568, 602, 594, 917, 875, 547, 4194, 950, 15096, 543, 7460, 616, 21325, 269, 9320, 2576, 6487, 630, 528, 666, 1448, 803, 547, 264, 513, 2143, 1505, 547, 2981, 263, 24047, 1250, 3830, 543, 1018, 547, 798, 1287, 888, 14188, 596, 1360, 1454, 780, 7042, 8340, 1022, 1599, 1269, 327, 3287, 25722, 7751, 971, 602, 1269, 327, 263, 271, 25722, 6661, 340, 263, 271, 25722, 7751, 543, 1269, 327, 10857, 25722, 6661, 340, 10857, 25722, 30879, 3973, 1118, 519, 1689, 540, 4632, 1269, 340, 284, 341, 266, 327, 10608, 901, 786, 2285, 596, 606, 3830, 585, 1269, 341, 259, 609, 24267, 10465, 2175, 630, 8117, 513, 1114, 3355, 1871, 1269, 341, 3287, 267, 271, 7751, 6393, 8894, 8649, 6748, 602, 596, 6394, 513, 1524, 341, 1774, 543, 606, 10343, 269, 2334, 1058, 581, 4502, 513, 3983, 613, 269, 594, 666, 4194, 835, 1966, 609, 606, 909, 341, 1774, 269, 1107, 1109, 305, 1601, 7085, 1731, 534, 4239, 476, 736, 1412, 1321, 693, 476, 274, 281, 1321, 454, 287, 305, 1601, 27908, 1731, 534, 901, 2907, 5949, 267, 849, 538, 513, 2243, 827, 9668, 540, 4632, 538, 623, 14701, 781, 269, 1107, 1109, 19878, 328, 17505, 3397, 340, 597, 516, 4239, 476, 736, 1412, 1321, 693, 476, 279, 281, 1240, 692, 7343, 25209, 1269, 272, 259, 1384, 4131, 1269, 340, 3287, 25722, 6661, 308, 3287, 25722, 264, 10954, 13320, 346, 272, 2410, 278, 4151, 2073, 692, 10190, 1269, 340, 4671, 3287, 25722, 6661, 308, 4671, 3287, 25722, 22491, 259, 340, 13448, 3287, 25722, 6661, 308, 13448, 3287, 25722, 22491, 259, 340, 3709, 16282, 12917, 343, 25722, 6661, 308, 3709, 16282, 12917, 343, 25722, 22491, 7445, 11004, 1150, 772, 4671, 3287, 25722, 6661, 280, 308 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 7775, 333, 753, 476, 8687, 280, 1107, 476, 6942, 278, 5487, 12875, 11546, 6261, 324, 559, 345, 630, 18933, 15909, 994, 294, 755, 1511, 3938, 321, 564, 568, 519, 1034, 4922, 1634, 20800, 540, 13524, 10601, 30527, 543, 568, 9833, 607, 2348, 21490, 519, 1259, 585, 519, 1646, 540, 7073, 1143, 269, 1261, 729, 513, 31111, 945, 1166, 719, 539, 4081, 3652, 543, 10353, 7931, 24939, 685, 543, 25839, 1235, 685, 4998, 2213, 26007, 540, 13299, 543, 4165, 18709, 269, 5502, 267, 3938, 321, 564, 17814, 519, 4641, 540, 4207, 1272, 28093, 4240, 609, 2451, 26310, 1514, 16555, 269, 1717, 267, 646, 568, 513, 9867, 7376, 4171, 5289, 543, 11509, 1543, 3947, 1864, 824, 7516, 269, 1261, 4603, 539, 609, 3209, 5888, 531, 2994, 543, 513, 12316, 7206, 4480, 799, 3769, 519, 946, 540, 5394, 2706, 574, 12723, 6106, 540, 5862, 4294, 2047, 609, 513, 29984, 17180, 269, 901, 1935, 9244, 6766, 6754, 595, 2946, 345, 22828, 630, 8146, 280, 1700, 5002, 277, 1070, 945, 3459, 13147, 10107, 3938, 321, 564, 779, 2511, 538, 519, 476, 5908, 271, 338, 563, 1103, 519, 476, 7277, 271, 338, 267, 1310, 513, 2656, 588, 842, 540, 4081, 2866, 267, 646, 5828, 547, 519, 4830, 6298, 2946, 332, 773, 2672, 23579, 267, 799, 18886, 1851, 922, 10453, 5159, 971, 4856, 582, 630, 9692, 277, 1700, 6942, 276, 264, 543, 2494, 564, 630, 8146, 273, 1700, 10695, 1040, 1261, 29979, 1010, 2069, 609, 11564, 547, 519, 7200, 341, 516, 267, 4974, 543, 25718, 519, 1390, 18544, 267, 3226, 519, 10656, 543, 5053, 27867, 10601, 26719, 267, 3816, 25912, 339, 630, 8182, 277, 1700, 14917, 280, 264, 543, 20653, 5451, 345, 4302, 345, 630, 14689, 280, 1700, 14917, 271, 1040, 1358, 6606, 6273, 3938, 321, 564, 779, 1582, 268, 1636, 11681, 634, 8426, 626, 630, 7277, 278, 264, 543, 1010, 2494, 609, 513, 2274, 1430, 25028, 630, 7277, 276, 270, 5379, 1040, 2311, 519, 476, 6977, 271, 8303, 6428, 517, 3938, 321, 564, 13631, 3160, 17192, 543, 1085, 1941, 585, 513, 3126, 540, 1804, 8397, 10367, 540, 27217, 6917, 543, 605, 2280, 4115, 9135, 10207, 269, 3502, 1152, 1705, 789, 30107, 1285, 656, 3766, 31938, 15885, 267, 855, 741, 22406, 2450, 5795, 873, 513, 1178, 10903, 553, 2356, 11603, 585, 1686, 7206, 269, 634, 1592, 2882, 519, 12942, 3691, 5474, 630, 7277, 280, 270, 2004, 264, 630, 852, 4503, 264, 543, 519, 10373, 589, 8738, 658, 693, 2107, 333, 753, 630, 7277, 280, 1700, 2004, 1070, 799, 12217, 513, 11696, 28917, 547, 4432, 13983, 1723, 779, 630, 15150, 272, 1700, 14065, 275, 264, 8738, 658, 540, 519, 4032, 540, 2107, 326, 1794, 630, 15647, 277, 270, 6434, 1040, 3938, 321, 564, 3370, 1010, 7464, 626, 8915, 334, 607, 513, 1793, 777, 538, 519, 3068, 540, 519, 10661, 543, 538, 519, 1482, 18916, 8118, 1010, 2048, 303, 822, 650, 517, 5918, 681, 2946, 16117, 324, 685, 538, 13889, 1996, 519, 476, 6977, 276, 1401, 6570, 1133, 1853, 1088, 548, 269, 634, 12438, 619, 1185, 15189, 1010, 634, 10266, 614, 779, 22456, 630, 6977, 275, 270, 4649, 264, 799, 646, 4951, 538, 1010, 1378, 623, 822, 559, 542, 1927, 609, 513, 32562, 5627, 1010, 8915, 334, 563, 1103, 519, 3735, 476, 6977, 271, 338, 543, 476, 5908, 271, 338, 3938, 321, 564, 15645, 730, 1010, 21087, 2065, 2623, 543, 5059, 593, 1869, 2000, 604, 525, 267, 562, 26360, 267, 23609, 267, 8916, 267, 2261, 1149, 543, 10122, 10207, 269, 1955, 14032, 9880, 18562, 7283, 11251, 538, 1010, 1568, 267, 971, 607, 918, 3739, 513, 1546, 518, 630, 5908, 278, 1070, 3090, 2358, 3938, 321, 564, 779, 1378, 2797, 20655, 269, 3938, 321, 564, 779, 9058, 8916, 543, 2261, 1149, 20441, 713, 1974, 269, 4256, 7928, 26007, 540, 519, 1482, 1747, 543, 16866, 4070, 616, 1271, 585, 519, 1646, 540, 2663, 5159, 267, 16113, 9919, 345, 22828, 269, 3938, 321, 564, 779, 562, 26360, 267, 971, 607, 519, 19716, 609, 3474, 8527, 630, 18404, 15844, 7467, 540, 3203, 267, 1715, 3840, 264, 941, 26526, 1463, 538, 741, 796, 4565, 5241, 2283, 7081, 269, 3571, 1034, 29412, 1373, 519, 634, 18882, 540, 519, 2622, 630, 5908, 277, 1070, 513, 2673, 5346, 2070, 540, 513, 4807, 779, 533, 644, 12629, 269, 898, 729, 2760, 5497, 585, 1857, 4159, 855, 568, 1631, 835, 540, 519, 1034, 4583, 10367, 538, 519, 1660, 19902, 546, 685, 302, 3464, 599, 269, 769, 476, 6942, 272, 267, 1310, 1373, 9901, 609, 519, 23542, 819, 540, 519, 966, 754, 20110, 1889, 28758, 1282, 519, 8303, 2155, 2317, 267, 3938, 321, 564, 608, 6150, 5128, 547, 16848, 585, 4250, 540, 1373, 4371, 20019, 18177, 269, 1261, 4797, 547, 5862, 538, 5487, 12875, 11546, 6261, 324, 559, 345, 267, 6721, 513, 1906, 25704, 267, 971, 607, 519, 4652, 31944, 7754, 528, 25271, 7348, 540, 519, 32595, 630, 6942, 278, 1916, 12749, 589, 25934, 11778, 585, 29775, 1511, 3938, 321, 564, 454, 293, 655, 1889, 562, 826, 4172, 577, 19902, 454, 306, 1245, 585, 1269, 1428, 267, 26326, 267, 1822, 454, 6124, 3840, 267, 2441, 773, 779, 267, 476, 280, 5437, 476, 1001, 276, 267, 634, 30310, 30778, 631, 2224, 281, 589, 4354, 730, 4634, 532, 22312, 267, 2603, 476, 1015, 288, 454, 32723, 339, 4958, 520, 281, 15776, 674, 8403, 2478, 454, 306, 1245, 585, 1269, 274, 267, 278, 5392, 267, 1822, 454, 6124, 3840, 267, 590, 6139, 2421, 779, 267, 476, 277, 5437, 476, 1001, 274, 267, 6764, 1833, 626, 1299, 7073, 3203, 4634, 532, 22312, 267, 2603, 476, 2412, 454, 306, 1245, 585, 11278, 272, 267, 277, 4510, 267, 1822, 18121, 274, 267, 29720, 267, 275, 4391, 994, 26780, 267, 590, 6139, 2421, 779, 267, 476, 2767, 4873, 476, 1220, 278, 267, 476, 866, 628, 11416, 3864, 24484, 902, 1519, 4436, 267, 22341, 1299, 6239, 3864, 24484, 902, 267, 543, 634, 31970, 626, 22312, 267, 2603, 476, 19442, 0, 2171, 616, 30590, 547, 2671, 938, 3803, 2213, 4528, 476, 272, 540, 519, 5463, 10757, 585, 22996, 18776, 4093, 3126, 269, 901, 1232, 10757, 585, 6267, 1907, 814, 1044, 2966, 607, 513, 3391, 585, 6267, 547, 519, 1893, 543, 2035, 1031, 538, 32492, 15154, 543, 27588, 543, 15043, 7913, 27159, 269, 22996, 666, 581, 2324, 593, 2789, 3356, 4093, 693, 835, 2507, 3367, 2859, 454, 288, 10872, 9256, 9754, 16782, 609, 1164, 10509, 568, 18445, 513, 5734, 609, 1453, 2066, 1715, 10215, 269, 681, 541, 18553, 4223, 8811, 27323, 568, 3091, 3506, 513, 1079, 4458, 10872, 5473, 11564, 547, 741, 2199, 9754, 267, 1569, 547, 519, 9754, 16782, 267, 543, 519, 4960, 547, 2995, 741, 1378, 2984, 1247, 17034, 519, 5767, 2029, 269, 1855, 14466, 320, 2813, 519, 10872, 2324, 2507, 3367, 2859, 454, 2080, 596, 786, 1265, 513, 1592, 540, 2200, 689, 519, 681, 541, 18553, 4223, 8811, 27323, 7641, 10022, 269, 3776, 2319, 723, 1044, 3384, 476, 1626, 9210, 529, 3941, 540, 8613, 585, 519, 5851, 4804, 8756, 269, 3776, 1101, 12558, 13819, 593, 13628, 519, 476, 2764, 628, 269, 1284, 1131, 2648, 621, 952, 596, 543, 707, 1362, 666, 19820, 538, 543, 4585, 269, 3502, 1152, 786, 519, 1294, 2507, 3367, 2859, 454, 13051, 543, 918, 10098, 2911, 827, 519, 960, 741, 1032, 476, 280, 300, 4317, 5525, 1362, 689, 7345, 540, 11866, 5441, 2813, 607, 851, 540, 519, 681, 541, 18553, 4223, 8811, 27323, 10872, 269, 11109, 6170, 1079, 2407, 2395, 538, 27016, 30231, 4505, 713, 2165, 267, 519, 1053, 543, 741, 4116, 3893, 547, 960, 543, 1205, 5432, 609, 3156, 971, 607, 24484, 476, 274, 291, 267, 570, 1074, 2075, 611, 267, 31493, 696, 21923, 267, 2507, 3367, 2859, 454, 2171, 723, 2919, 891, 8908, 10274, 585, 1053, 547, 948, 609, 741, 1620, 827, 519, 3356, 4093, 585, 1312, 32492, 3206, 543, 27588, 543, 3384, 585, 3059, 4093, 269, 1411, 666, 4647, 891, 1934, 610, 1413, 693, 519, 7300, 338, 2630, 269, 1284, 616, 16994, 547, 917, 1018, 596, 1589, 269, 7490, 1577, 721, 917, 707, 5955, 269, 1411, 666, 2507, 3367, 2859, 454, 8794, 17547, 5336, 10056, 22456, 543, 1775, 300, 990, 773, 267, 1053, 693, 28234, 14241, 3427, 2813, 713, 13181, 543, 3860, 3381, 950, 789, 10272, 589, 3089, 1633, 7467, 269, 4256, 14374, 1888, 729, 2230, 1949, 543, 3408, 563, 298, 334, 751, 737, 879, 335, 23981, 1319, 7699, 544, 16230, 512, 25207, 928, 328, 737, 3120, 968, 298, 320, 522, 571, 751, 556, 334, 1775, 513, 327, 879, 5608, 594, 14193, 552, 530, 31488, 18553, 16562, 737, 328, 751, 512, 21036, 1775, 512, 25207, 928, 328, 737, 2967, 752, 334, 544, 16230, 512, 16230, 333, 5953, 737, 879, 335, 23981, 627, 5953, 16951, 25697, 2322, 320, 751, 554, 11672, 807, 1775, 513, 476, 807, 737, 807, 513, 549, 8356, 328, 737, 328, 751, 556, 334, 631, 5953, 9461, 269, 715, 5953, 556, 4275, 594, 627, 752, 541, 924, 320, 737, 807, 513, 549, 737, 328, 23356, 5953, 533, 5942, 803, 23356, 5953, 646, 651, 522, 2507, 3367, 2859, 454, 288, 1362, 693, 918, 7702, 684, 14241, 3427, 538, 654, 2454, 2023, 729, 14236, 22947, 693, 1153, 269, 1879, 519, 1362, 10272, 1855, 14466, 320, 267, 930, 1053, 2813, 713, 22423, 5373, 540, 2494, 340, 1313, 324, 1806, 538, 519, 9754, 269, 0, 1692, 798, 596, 4383, 707, 942, 286, 1684, 596, 723, 513, 4743, 1169, 1906, 2395, 602, 596, 14406, 856, 593, 1945, 286, 602, 596, 1223, 798, 811, 538, 707, 942, 855, 968, 323, 573, 333, 1406, 723, 519, 4960, 892, 888, 302, 1692, 786, 1053, 2490, 538, 741, 960, 286, 4024, 789, 1780, 621, 4464, 610, 547, 519, 2427, 610, 786, 596, 723, 513, 4216, 610, 10822, 676, 519, 7450, 1141, 1053, 666, 6749, 1055, 741, 960, 607, 789, 2097, 538, 888, 763, 3803, 5123, 540, 3450, 568, 1764, 269, 1879, 3610, 4001, 3927, 585, 17117, 267, 789, 2253, 547, 1847, 3564, 1256, 17117, 267, 543, 789, 616, 2348, 513, 1279, 18835, 1764, 593, 519, 2729, 540, 741, 1053, 563, 10190, 267, 693, 519, 5377, 540, 519, 30453, 1118, 2386, 547, 723, 519, 2875, 1129, 1010, 610, 1200, 2012, 269, 1635, 19142, 741, 2012, 519, 2875, 568, 1818, 513, 9153, 547, 1246, 998, 609, 741, 1544, 563, 1432, 1590, 581, 2944, 547, 1202, 675, 602, 519, 4928, 568, 4712, 585, 519, 1985, 1895, 547, 4283, 286, 13689, 593, 519, 1641, 596, 4001, 543, 519, 2534, 585, 519, 9906, 2359, 1062, 1554, 596, 949, 1616, 547, 1376, 23090, 1524, 519, 3992, 2947, 610, 4557, 3764, 1354, 519, 11350, 14034, 269, 2311, 519, 1360, 2547, 596, 1058, 1376, 513, 1293, 16365, 865, 789, 917, 875, 1454, 942, 789, 723, 2451, 543, 1018, 2115, 547, 581, 2944, 269, 5620, 519, 2326, 6394, 543, 2322, 2476, 269, 5620, 1142, 2875, 2973, 909, 741, 968, 1740, 892, 1858, 563, 1692, 568, 646, 693, 1153, 1631, 286, 769, 1249, 267, 646, 779, 513, 2603, 1732, 609, 1100, 5208, 610, 14699, 269, 769, 1362, 1631, 646, 2965, 18795, 543, 1568, 1510, 519, 3105, 2157, 540, 17522, 269, 1261, 1869, 666, 1406, 581, 11967, 1472, 519, 824, 1453, 1317, 646, 24864, 543, 562, 2354, 873, 950, 646, 14659, 18864, 779, 8384, 1864, 269, 1548, 513, 1347, 1067, 7498, 29261, 281, 19759, 569, 267, 3237, 2933, 616, 547, 16620, 585, 513, 6712, 540, 2875, 2566, 269, 898, 568, 1134, 1634, 602, 1053, 267, 607, 789, 1205, 4587, 267, 3343, 3152, 5232, 540, 7115, 689, 741, 3237, 269, 901, 568, 2556, 952, 789, 616, 547, 1831, 9921, 4079, 269, 2311, 519, 1482, 942, 267, 519, 6560, 666, 3123, 1390, 11605, 593, 1312, 5011, 540, 519, 3830, 269, 1403, 596, 1616, 1967, 689, 3646, 693, 2566, 2359, 585, 1053, 267, 596, 786, 991, 547, 19542, 513, 30425, 593, 519, 552, 755, 816, 540, 519, 2385, 270, 30700, 2078, 563, 296, 4126, 596, 1336, 713, 2376, 540, 942, 2359, 5363, 269, 12085, 547, 1832, 538, 2247, 616, 602, 942, 568, 2724, 543, 676, 9494, 942, 596, 616, 9494, 2724, 256, 4746, 267, 972, 616, 6266, 540, 2081, 602, 596, 666, 12366, 1047, 707, 942, 543, 1205, 519, 1034, 960, 2944, 2009, 538, 513, 3908, 2179, 540, 942, 2899, 596, 1376, 4742, 3222, 540, 875, 1454, 942, 568, 6170, 1142, 1554, 543, 1018, 621, 568, 6170, 593, 269, 6153, 9939, 609, 707, 3804, 547, 4688, 942, 543, 547, 6108, 621, 607, 20617, 607, 2009, 269, 0, 763, 5822, 898, 14900, 7232, 628, 11340, 1014, 2782, 5219, 547 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 23023, 540, 11626, 5888, 543, 9357, 2214, 8879, 5860, 12632, 538, 1554, 543, 3781, 267, 6606, 267, 3246, 513, 1164, 22822, 2199, 5360, 2939, 547, 519, 1804, 8397, 9196, 676, 717, 5357, 291, 563, 763, 4999, 540, 2199, 543, 2518, 7422, 689, 891, 1079, 13485, 2488, 1239, 602, 666, 5512, 1007, 15849, 559, 894, 543, 6323, 2861, 4485, 585, 11236, 540, 519, 2175, 538, 3047, 779, 968, 11898, 4365, 1848, 8625, 519, 1079, 13485, 2099, 513, 1351, 3326, 776, 547, 602, 1031, 676, 519, 14368, 1670, 2146, 267, 9256, 2518, 8397, 13865, 7422, 689, 2520, 657, 2106, 28942, 10739, 609, 2565, 267, 5059, 538, 2198, 7422, 693, 4130, 10253, 563, 18719, 22777, 538, 519, 10727, 543, 6111, 540, 2230, 4365, 23004, 568, 13087, 676, 2810, 519, 1297, 543, 4560, 540, 1883, 1533, 4632, 6027, 543, 1500, 2139, 585, 2079, 543, 21939, 269, 6611, 4365, 2175, 616, 1634, 547, 4431, 9244, 547, 13260, 538, 3859, 11158, 23735, 4800, 267, 3859, 17615, 9325, 13441, 267, 543, 13557, 11919, 32338, 908, 689, 519, 3141, 282, 519, 2063, 540, 891, 8757, 3047, 538, 513, 11275, 1242, 3859, 2842, 269, 11310, 540, 519, 3859, 5982, 543, 3859, 2842, 3977, 568, 513, 3084, 1719, 602, 952, 4867, 24009, 676, 30857, 779, 2230, 7221, 1519, 12213, 6611, 8693, 25076, 630, 9169, 4596, 23623, 282, 645, 4669, 543, 8055, 476, 1001, 273, 264, 609, 9709, 27402, 1246, 6823, 13485, 269, 1717, 267, 621, 568, 1631, 2312, 602, 519, 4483, 540, 1648, 543, 11610, 689, 519, 7708, 1842, 335, 1877, 543, 14404, 14459, 16057, 883, 3047, 779, 5580, 5790, 568, 2693, 513, 10747, 1184, 538, 2230, 4365, 630, 3412, 17745, 1696, 620, 269, 476, 1220, 277, 282, 670, 12298, 1696, 620, 269, 476, 1220, 278, 282, 20568, 1696, 620, 269, 476, 1001, 274, 1040, 8625, 267, 15096, 2177, 543, 717, 5357, 291, 1683, 811, 982, 513, 18797, 1644, 2472, 547, 948, 8207, 519, 9814, 540, 1554, 547, 1554, 7648, 538, 2230, 4365, 602, 616, 15151, 711, 1644, 547, 519, 4867, 6027, 3859, 2842, 1883, 6724, 543, 4061, 711, 22150, 693, 713, 942, 563, 9898, 305, 12239, 6020, 3201, 11083, 300, 5308, 15771, 2207, 2975, 19010, 4353, 8991, 5508, 9501, 19781, 25723, 26059, 2207, 563, 2467, 616, 1896, 11626, 9259, 602, 616, 1631, 2219, 547, 581, 540, 1883, 2956, 950, 6236, 519, 4276, 540, 519, 18714, 5790, 547, 2230, 4365, 269, 6201, 1331, 11626, 29500, 10069, 1242, 538, 519, 2539, 5790, 602, 29608, 547, 1454, 2362, 31556, 269, 11153, 16057, 1790, 1886, 698, 908, 11626, 29500, 609, 8129, 538, 519, 7708, 1842, 335, 1877, 1332, 547, 741, 4102, 7586, 6421, 538, 519, 476, 3445, 1700, 6344, 10275, 332, 2039, 1354, 8840, 610, 26632, 908, 630, 295, 12298, 543, 1280, 15816, 476, 1220, 273, 1040, 18858, 1842, 335, 8879, 16550, 267, 4061, 267, 11498, 547, 543, 1134, 1657, 519, 10465, 540, 2230, 543, 883, 519, 11919, 540, 519, 2539, 9357, 14459, 269, 634, 4102, 540, 891, 29500, 568, 10069, 1242, 676, 10338, 540, 3859, 18342, 5982, 676, 1216, 11517, 543, 24353, 3002, 5950, 676, 6531, 5250, 269, 1452, 29500, 666, 4061, 4268, 936, 2110, 942, 5712, 607, 4365, 3270, 1689, 267, 8795, 811, 6385, 982, 1281, 519, 5266, 11931, 1019, 19012, 20352, 6383, 538, 519, 5687, 14459, 676, 519, 10338, 540, 3859, 3665, 11158, 5982, 269, 769, 1840, 267, 8904, 543, 17974, 6329, 23608, 689, 7708, 1842, 335, 8879, 2959, 849, 29608, 883, 519, 3148, 267, 609, 930, 8757, 519, 9357, 2214, 8879, 8445, 2282, 476, 4968, 1700, 6110, 5998, 269, 12344, 1034, 20498, 616, 2518, 8397, 21463, 540, 519, 9357, 14459, 602, 723, 1044, 11911, 547, 1804, 2242, 538, 519, 19236, 5951, 8552, 538, 519, 8701, 14404, 14459, 1496, 5408, 22167, 577, 13873, 14150, 1696, 620, 269, 630, 1001, 271, 264, 585, 606, 5140, 1383, 4940, 634, 2242, 538, 519, 9357, 14459, 4767, 1282, 2101, 14404, 2214, 8879, 8337, 2621, 267, 609, 1312, 3986, 906, 543, 20214, 540, 11919, 5860, 607, 1804, 607, 513, 3815, 540, 476, 273, 267, 936, 6753, 693, 1970, 610, 1647, 4234, 6421, 267, 616, 540, 513, 9588, 13380, 547, 3665, 2230, 4365, 2621, 9141, 676, 519, 3859, 2842, 563, 7212, 7403, 543, 3631, 540, 519, 2230, 1604, 723, 4359, 3648, 538, 2487, 5756, 267, 519, 2115, 585, 12605, 1869, 9765, 1699, 7207, 269, 634, 15096, 2177, 543, 717, 5357, 291, 13485, 786, 1683, 13778, 7403, 602, 786, 4434, 938, 1620, 540, 519, 2623, 540, 519, 2282, 7232, 14390, 2230, 1604, 543, 1930, 18817, 585, 6454, 538, 3621, 12588, 538, 2230, 4365, 12605, 269, 1306, 1142, 5692, 11394, 547, 20559, 519, 3310, 540, 18714, 10256, 593, 3047, 779, 5580, 5790, 267, 9256, 891, 1007, 7422, 609, 1346, 689, 824, 8331, 13485, 267, 772, 2529, 269, 8041, 267, 543, 3486, 4891, 6585, 9153, 585, 1256, 811, 3102, 5784, 540, 519, 1062, 269, 634, 15096, 2177, 543, 717, 5357, 291, 13485, 941, 2966, 14384, 267, 855, 4163, 6923, 5348, 1120, 2065, 7207, 602, 616, 4166, 547, 581, 7691, 269, 0, 763, 3483, 540, 713, 7634, 729, 547, 1353, 519, 4806, 540, 3110, 3770, 2168, 2534, 630, 295, 5183, 264, 543, 547, 2708, 519, 942, 6170, 538, 9793, 547, 24526, 2168, 2534, 630, 300, 309, 5183, 264, 538, 9656, 543, 1101, 17263, 1153, 18244, 269, 769, 476, 7918, 1453, 267, 670, 5183, 729, 6594, 1282, 476, 275, 15654, 2395, 676, 2898, 6377, 2295, 2557, 630, 16281, 264, 5464, 269, 631, 309, 5183, 729, 3989, 593, 519, 4493, 540, 15679, 12939, 1657, 476, 16928, 20054, 829, 8792, 269, 590, 755, 7134, 5712, 540, 631, 309, 5183, 540, 476, 736, 610, 811, 3764, 941, 4767, 1152, 538, 476, 736, 260, 540, 8695, 543, 476, 1704, 260, 540, 6690, 269, 1717, 267, 519, 4806, 540, 670, 5183, 540, 782, 1453, 8659, 476, 272, 15902, 267, 543, 476, 273, 268, 547, 476, 275, 15902, 5712, 540, 631, 309, 5183, 267, 543, 476, 3199, 260, 540, 8695, 543, 476, 3445, 260, 540, 6690, 1185, 476, 276, 268, 547, 476, 280, 15902, 13455, 5712, 540, 631, 309, 5183, 269, 898, 666, 581, 11943, 602, 538, 476, 275, 268, 547, 476, 279, 4458, 6040, 1453, 267, 670, 5183, 568, 6353, 676, 606, 26740, 4806, 1510, 12675, 5712, 540, 631, 309, 5183, 563, 30538, 541, 833, 590, 718, 334, 543, 681, 2967, 582, 590, 8759, 454, 25405, 1408, 27975, 5069, 744, 685, 10468, 650, 454, 5353, 1783, 268, 2056, 7063, 267, 3226, 1346, 547, 519, 18751, 2267, 857, 622, 30301, 630, 3722, 299, 1070, 3136, 547, 2049, 693, 513, 1164, 2557, 538, 1082, 5026, 269, 4014, 2789, 2188, 616, 2219, 547, 3565, 547, 713, 5945, 2557, 267, 1100, 1353, 814, 6743, 693, 2009, 5626, 7506, 269, 4475, 267, 519, 1459, 8367, 5267, 602, 972, 6818, 606, 3929, 8194, 602, 5540, 9845, 1310, 7487, 2576, 538, 741, 1378, 7328, 2844, 513, 3978, 5945, 269, 901, 15779, 3210, 1223, 1267, 538, 513, 1689, 538, 2773, 12485, 602, 1223, 1267, 538, 5945, 547, 13951, 12462, 514, 329, 1722, 19131, 542, 26158, 4841, 1297, 532, 476, 3393, 280, 630, 301, 284, 476, 3393, 280, 282, 476, 28071, 9038, 543, 476, 9264, 8951, 264, 689, 2185, 20744, 3537, 12562, 941, 6594, 269, 11778, 689, 5626, 4152, 4951, 606, 2333, 538, 519, 946, 540, 4250, 1913, 543, 2453, 1310, 5945, 547, 513, 2319, 22940, 269, 1306, 513, 1267, 267, 621, 568, 5227, 602, 19393, 543, 824, 10986, 2226, 513, 15398, 4656, 540, 2319, 10863, 685, 4664, 1310, 513, 2319, 4759, 2771, 1622, 513, 1713, 5945, 563, 30681, 589, 269, 670, 770, 773, 454, 1607, 1353, 2488, 606, 8733, 2079, 540, 513, 7328, 2069, 4005, 269, 3414, 519, 6514, 540, 519, 4247, 543, 12477, 5665, 538, 713, 4005, 267, 621, 729, 5462, 602, 519, 1164, 1377, 540, 25981, 2875, 6278, 729, 1813, 547, 519, 4527, 540, 1614, 10321, 267, 782, 540, 799, 1118, 2318, 7418, 547, 24569, 519, 1982, 540, 2962, 269, 1452, 10321, 1331, 519, 4116, 779, 31707, 4305, 1062, 267, 519, 2875, 1514, 1062, 267, 543, 519, 1543, 15041, 5523, 4765, 12477, 7915, 538, 519, 6437, 2203, 269, 22505, 2069, 2488, 513, 17326, 7645, 1982, 540, 2962, 267, 538, 4334, 547, 811, 2757, 2168, 2069, 5468, 267, 1141, 3610, 2901, 7903, 1053, 998, 519, 6437, 609, 2178, 5007, 12477, 607, 513, 1259, 540, 8236, 543, 24569, 1931, 267, 610, 18956, 547, 513, 1225, 14152, 7997, 540, 3106, 543, 21907, 5934, 2875, 960, 585, 9316, 538, 519, 31707, 1062, 563, 25405, 1408, 548, 667, 269, 654, 611, 29536, 267, 1234, 7534, 1849, 656, 517, 267, 16110, 29325, 651, 267, 15593, 328, 808, 269, 7935, 1188, 543, 6307, 661, 269, 23052, 529, 650, 454, 26045, 1072, 568, 513, 2101, 6161, 585, 2362, 2069, 543, 1053, 616, 4358, 741, 2852, 1995, 609, 5626, 2152, 610, 3384, 2790, 1072, 2042, 1310, 27350, 269, 5221, 2168, 2534, 543, 3635, 723, 1634, 2790, 1072, 2640, 267, 519, 2361, 540, 737, 1149, 5735, 666, 7520, 519, 6765, 540, 2168, 2534, 543, 3635, 3292, 6322, 693, 4227, 2566, 267, 4160, 267, 543, 4965, 267, 607, 1134, 607, 3895, 2635, 12003, 6127, 269, 634, 3427, 540, 918, 1149, 5735, 693, 589, 889, 1248, 2160, 814, 8045, 513, 5943, 547, 2232, 2790, 1072, 593, 13464, 543, 1369, 938, 2146, 269, 3776, 5943, 5161, 540, 17440, 267, 23793, 3646, 267, 543, 9591, 1883, 12352, 547, 7520, 519, 6765, 543, 6940, 540, 938, 3292, 269, 3776, 3292, 5512, 2043, 547, 3715, 1582, 30625, 1983, 267, 946, 513, 11009, 2861, 1935, 267, 610, 7119, 538, 10649, 267, 7551, 9591, 2500, 543, 2635, 12003, 6127, 269, 901, 1957, 11828, 519, 4720, 540, 938, 5943, 267, 607, 1134, 607, 7496, 543, 4863, 2209, 540, 6388, 543, 6940, 563, 289, 597, 5407, 19453, 645, 269, 4258, 9047, 267, 3057, 20811, 20098, 572, 516, 267, 30370, 1744, 333, 1512, 543, 12756, 589, 269, 674, 9332, 541, 821, 19453, 454, 763, 3483, 540, 713, 2376, 568, 547, 3561, 513, 4232, 1807, 524, 4428, 15237, 13455, 676, 606, 11361, 4807, 7900, 11636, 4187, 2866, 630, 11266, 307, 264, 538, 513, 2487, 19747, 6417, 4791, 4693, 269, 634, 3461, 729, 513, 25161, 476, 10463, 3917, 6040, 24272, 22057, 4807, 269, 27148, 7000, 606, 8650, 267, 2407, 6253, 32169, 15237, 540, 519, 1318, 647, 1440, 5684, 514, 9850, 6281, 547, 7900, 513, 13105, 2046, 3635, 269, 4329, 7634, 3842, 18909, 7000, 28115, 894, 2068, 540, 519, 1035, 668, 328, 665, 15442, 7781, 4745, 1519, 14694, 17498, 331, 14563, 540, 519, 1035, 668, 542, 543, 606, 606, 614, 7765, 2536, 1640, 1035, 668, 658, 27513, 267, 799, 1131, 1095, 4134, 2821, 547, 791, 16636, 618, 269, 20271, 894, 2359, 729, 8045, 538, 713, 2013, 585, 936, 476, 277, 3275, 609, 8766, 1967, 269, 634, 3461, 7283, 1599, 958, 3908, 538, 12303, 782, 2238, 540, 3232, 2713, 269, 9717, 519, 2564, 1686, 267, 1072, 4567, 267, 2168, 2783, 267, 543, 2085, 540, 938, 3461, 267, 621, 568, 21483, 602, 28115, 894, 2242, 19753, 12723, 519, 3461, 547, 519, 5945, 269, 1677, 938, 1702, 713, 568, 519, 1101, 3370, 1867, 540, 606, 4587, 2937, 24569, 513, 4232, 1807, 524, 4428, 15237, 1282, 11553, 307, 563, 763, 4681, 540, 513, 476, 275, 4458, 1382, 1788, 602, 8947, 519, 1761, 585, 3152, 5610, 540, 7328, 543, 9235, 3609, 538, 519, 5177, 616, 4080, 269, 634, 1353, 568, 1759, 593, 538, 3829, 11042, 543, 29492, 609, 1585, 8041, 543, 14439, 513, 1297, 540, 13253, 602, 2291, 1369, 519, 7328, 2389, 24397, 3609, 1184, 269, 1323, 2079, 540, 971, 13253, 568, 1031, 547, 2689, 519, 2947, 7506, 593, 7328, 2389, 24397, 3609, 6069, 676, 1284, 539, 543, 18409, 630, 1960, 279, 1040, 14520, 7506, 616, 1631, 6700, 281, 16809, 267, 8847, 267, 6237, 8658, 267, 2229, 3609, 267, 10721, 2528, 543, 2497, 267, 543, 2043, 269, 4635, 891, 15428, 7506, 267, 606, 4879, 568, 1500, 540, 519, 1761, 585, 513, 4264, 7328, 2389, 24397, 3609, 3060, 538, 519, 5177, 269, 898, 568, 11130, 602, 971, 513, 3060, 568, 711, 4264, 693, 519, 3084, 1377, 855, 949, 581, 2009, 693, 519, 6237, 1377, 269, 634, 2278, 5267, 513, 991, 547, 10686, 1227, 19472, 519, 3486, 10083, 540, 519, 2035, 5941, 9001, 1284, 539, 781, 630, 1220, 272, 264, 2203, 563, 28061, 590, 269, 654, 4068, 1777, 267, 12456, 517, 623, 2529, 269, 12448, 543, 6307, 661, 269, 23052, 529, 650, 454, 15812, 564, 12503, 543, 5007, 7569, 547, 2844, 1569, 267, 2087, 1942, 2359, 543, 12477, 267, 543, 2333 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4704, 2338, 9102, 538, 519, 19114, 267, 607, 1134, 607, 676, 5812, 16126, 593, 922, 2497, 267, 1646, 543, 9115, 269, 769, 1249, 267, 519, 3281, 754, 1756, 568, 5921, 547, 556, 1177, 2586, 1719, 538, 543, 15131, 585, 519, 595, 622, 577, 1143, 267, 799, 267, 538, 519, 7326, 540, 922, 6881, 543, 519, 3178, 540, 922, 17035, 267, 2141, 3788, 519, 2596, 1257, 585, 524, 622, 2583, 529, 538, 519, 5783, 2221, 563, 12024, 519, 595, 622, 577, 1143, 267, 519, 3281, 754, 1756, 814, 2185, 2694, 267, 7222, 547, 519, 4909, 4031, 540, 1272, 538, 2441, 563, 763, 1101, 851, 267, 13886, 968, 763, 25088, 540, 18321, 5608, 3568, 513, 10282, 540, 519, 20750, 3841, 754, 328, 267, 519, 5132, 2024, 539, 676, 519, 7826, 5783, 267, 607, 6829, 538, 519, 24347, 956, 685, 595, 7517, 799, 568, 2417, 11840, 730, 676, 519, 12832, 2940, 268, 17746, 656, 514, 641, 13457, 595, 7517, 269, 769, 519, 1396, 17790, 3924, 540, 519, 595, 7517, 267, 519, 4168, 10198, 8952, 519, 9030, 18408, 540, 519, 5132, 9800, 538, 3965, 563, 763, 2034, 851, 267, 13886, 968, 763, 9919, 30503, 1674, 540, 519, 4168, 25491, 5608, 6799, 519, 1898, 2609, 540, 519, 20750, 3669, 25912, 328, 269, 634, 605, 17474, 540, 519, 20227, 9060, 922, 8076, 3210, 538, 519, 5485, 571, 11365, 1272, 267, 998, 799, 10271, 1995, 543, 7198, 267, 538, 1169, 4090, 540, 741, 6228, 267, 519, 9494, 1379, 540, 519, 32488, 577, 531, 9814, 676, 799, 2441, 814, 12913, 938, 25863, 563, 763, 3791, 851, 267, 13886, 968, 16908, 538, 2441, 5608, 31061, 519, 20750, 642, 643, 754, 328, 267, 998, 799, 519, 19071, 1242, 8915, 741, 7029, 547, 519, 5132, 789, 723, 2024, 539, 543, 9976, 267, 998, 741, 3527, 543, 5683, 5079, 269, 634, 4168, 21705, 616, 1572, 676, 519, 7083, 4906, 547, 957, 538, 513, 1259, 799, 581, 22327, 741, 15683, 607, 1453, 540, 519, 12429, 538, 519, 17493, 540, 519, 10513, 13336, 563, 763, 8772, 851, 267, 13886, 968, 22146, 27302, 5608, 26564, 519, 20750, 522, 8681, 328, 267, 519, 1272, 540, 11755, 269, 11374, 519, 1383, 540, 4906, 267, 519, 3501, 2203, 540, 835, 945, 533, 7590, 267, 519, 4168, 1932, 568, 1572, 547, 519, 5188, 609, 2696, 538, 11755, 269, 589, 29341, 4082, 540, 11755, 568, 519, 3776, 12429, 267, 519, 11755, 602, 4906, 814, 6026, 721, 563, 275, 269, 589, 2034, 8984, 540, 519, 3281, 754, 1756, 568, 922, 13972, 673, 3898, 267, 10452, 519, 3504, 524, 622, 322, 16375, 5339, 9135, 540, 2055, 543, 4267, 269, 634, 2856, 568, 547, 16196, 606, 16494, 5188, 1063, 4487, 543, 1167, 2118, 267, 998, 513, 3126, 540, 1651, 529, 633, 2055, 602, 16436, 519, 5467, 547, 979, 4514, 538, 12423, 2479, 1007, 3344, 540, 1010, 5132, 269, 634, 13972, 673, 3898, 849, 561, 1742, 3294, 547, 1786, 6143, 538, 519, 1257, 267, 676, 4227, 621, 547, 1018, 568, 1898, 269, 901, 949, 948, 519, 5467, 547, 9787, 519, 9115, 543, 7654, 547, 27655, 873, 607, 1134, 563, 276, 269, 589, 3791, 8984, 568, 519, 10014, 540, 930, 7499, 2592, 799, 1665, 519, 11840, 566, 540, 519, 4467, 12323, 1756, 269, 1452, 616, 6537, 689, 519, 3638, 1273, 3234, 3415, 540, 4168, 12835, 2762, 269, 634, 5553, 6040, 598, 4290, 3511, 2245, 11414, 721, 602, 2592, 616, 849, 513, 840, 2286, 540, 519, 20227, 269, 20551, 538, 1169, 2085, 723, 6035, 519, 9030, 5013, 540, 519, 9814, 540, 20778, 547, 519, 31658, 543, 4898, 540, 21071, 676, 9306, 873, 538, 519, 26672, 712, 540, 7990, 543, 538, 519, 19870, 540, 5898, 269, 898, 568, 606, 16315, 540, 875, 2221, 811, 982, 2479, 267, 538, 513, 2528, 540, 2592, 267, 513, 10723, 3239, 666, 2769, 1454, 811, 982, 1018, 666, 581, 1767, 538, 1913, 267, 543, 581, 606, 5393, 2500, 543, 6422, 1259, 540, 14379, 519, 20227, 5048, 563, 277, 269, 10783, 344, 1296, 1310, 519, 2673, 540, 519, 5822, 28912, 7027, 543, 538, 519, 1032, 540, 519, 661, 1276, 30658, 267, 713, 4467, 12323, 1756, 4564, 606, 3606, 4199, 585, 17598, 519, 14000, 585, 5168, 1851, 519, 4168, 21705, 540, 782, 6502, 543, 2175, 267, 607, 1134, 607, 519, 14000, 585, 5168, 543, 5126, 1851, 1346, 945, 616, 1510, 5132, 269, 634, 8313, 540, 519, 3281, 754, 1756, 786, 1491, 1747, 593, 519, 32444, 640, 540, 519, 10513, 24347, 956, 8834, 543, 6754, 267, 22225, 540, 519, 5783, 8471, 543, 32055, 27685, 9088, 540, 519, 3504, 1158, 269, 1452, 19980, 956, 4718, 1018, 789, 840, 3737, 543, 14754, 547, 519, 5168, 540, 2441, 1256, 21349, 12004, 10455, 3256, 269, 2913, 721, 708, 10028, 873, 538, 741, 29966, 1990, 7002, 543, 7281, 547, 519, 7083, 602, 519, 5783, 949, 2141, 1246, 519, 3450, 540, 519, 19980, 956, 267, 689, 7247, 1352, 1101, 4607, 519, 32219, 605, 17474, 540, 519, 5132, 563, 736, 4728, 476, 1220, 276, 267, 26054, 10732, 563, 297, 24944, 9315, 1400, 13158, 4506, 518, 5518, 540, 519, 7981, 8189, 454, 272, 269, 1548, 568, 519, 1544, 540, 2696, 585, 812, 888, 18661, 267, 28222, 3501, 543, 25552, 538, 5128, 267, 538, 513, 1544, 540, 22406, 22556, 11884, 2813, 812, 547, 1118, 1864, 2671, 538, 1010, 1378, 25552, 1272, 269, 769, 519, 2407, 1145, 540, 942, 267, 2696, 519, 12429, 2366, 1010, 12312, 607, 519, 4414, 9851, 518, 543, 14205, 1640, 540, 18495, 267, 15468, 883, 5609, 267, 3976, 10912, 782, 883, 1010, 5783, 543, 267, 998, 519, 960, 540, 519, 10513, 13336, 267, 1818, 873, 7550, 1453, 543, 646, 15077, 540, 1010, 18163, 8788, 563, 2108, 2791, 616, 1390, 267, 744, 7083, 267, 543, 7494, 547, 581, 26916, 31218, 1411, 723, 1500, 721, 585, 3054, 543, 938, 2295, 568, 1964, 1652, 2394, 621, 26520, 538, 596, 1848, 630, 306, 5593, 27596, 994, 273, 269, 4208, 1281, 812, 723, 513, 7287, 585, 2696, 888, 18661, 5128, 267, 538, 2870, 812, 538, 1010, 1378, 3239, 267, 814, 2854, 2390, 1010, 2295, 519, 7287, 547, 1294, 1864, 269, 4634, 952, 713, 7287, 568, 1419, 16053, 267, 2696, 2760, 2781, 1162, 547, 2721, 812, 547, 5128, 1317, 1152, 538, 2696, 786, 646, 1265, 543, 2661, 519, 2407, 1145, 540, 5168, 543, 8788, 585, 799, 646, 2760, 13515, 10478, 269, 1635, 2470, 543, 676, 4938, 566, 267, 4061, 267, 812, 568, 513, 3909, 1373, 267, 5827, 540, 10024, 883, 1209, 542, 609, 2696, 269, 901, 15982, 543, 4105, 6125, 609, 2696, 1476, 619, 593, 812, 1010, 4909, 15683, 563, 274, 269, 1215, 568, 621, 2009, 547, 917, 2696, 609, 1152, 519, 1769, 540, 1480, 2601, 888, 28275, 689, 5137, 267, 602, 568, 689, 519, 1158, 543, 689, 519, 1480, 1268, 267, 998, 2601, 4805, 835, 666, 917, 2696, 609, 22979, 607, 519, 5169, 543, 1439, 540, 519, 7122, 267, 607, 519, 5207, 1434, 543, 607, 12808, 5168, 543, 5898, 563, 275, 269, 1772, 519, 1769, 540, 2601, 4805, 6190, 547, 917, 519, 9814, 540, 2696, 888, 1103, 4947, 547, 513, 1702, 540, 2696, 676, 519, 1769, 540, 2601, 4805, 812, 2833, 1082, 7965, 269, 11569, 267, 593, 1010, 1378, 646, 568, 8572, 547, 4283, 883, 519, 25055, 540, 519, 10143, 9814, 269, 901, 568, 1946, 646, 6763, 538, 991, 540, 1373, 24084, 2989, 676, 2696, 779, 13414, 267, 711, 1152, 827, 1346, 1919, 602, 9765, 1010, 1620, 267, 855, 849, 827, 1346, 3909, 543, 5837, 18408, 799, 540, 2933, 616, 711, 3564, 519, 9787, 540, 1480, 2601, 267, 865, 602, 1256, 538, 519, 1459, 2783, 540, 519, 1480, 5198, 267, 789, 666, 581, 1634, 676, 782, 609, 8897, 267, 609, 6109, 22979, 543, 609, 1100, 8098, 4869, 675, 540, 5470, 563, 276, 269, 1215, 666, 649, 3717, 827, 2696, 888, 3528, 2921, 607, 938, 4358, 1448, 519, 3501, 687, 540, 812, 543, 540, 519, 824, 7068, 799, 616, 513, 8086, 267, 23344, 513, 3908, 835, 267, 540, 519, 12808, 19870, 540, 2696, 267, 649, 616, 2111, 547, 3717, 827, 2696, 609, 782, 1004, 269, 1284, 1590, 267, 2705, 267, 16111, 1625, 1518, 938, 1893, 538, 810, 30138, 607, 621, 568, 3239, 27995, 543, 20541, 267, 16734, 602, 649, 666, 2760, 4628, 2769, 519, 12808, 9814, 540, 2696, 563, 763, 31694, 540, 2696, 454, 277, 269, 1548, 1281, 2696, 7866, 547, 812, 888, 18661, 538, 1010, 22556, 543, 7326, 8761, 5128, 269, 2060, 23339, 543, 1913, 267, 646, 8761, 5128, 543, 1010, 1544, 540, 15962, 22556, 799, 646, 3526, 539, 689, 782, 552, 1181, 640, 538, 2441, 269, 4340, 547, 713, 1544, 267, 782, 1004, 676, 519, 11419, 540, 519, 10513, 13336, 616, 547, 2671, 538, 519, 10143, 1272, 607, 7550, 968, 338, 976, 892, 538, 519, 1152, 1917, 13516, 12312, 540, 2696, 563, 278, 269, 1548, 616, 519, 1101, 5933, 540, 2696, 779, 31694, 888, 5804, 519, 1360, 4098, 267, 2696, 28955, 5128, 547, 938, 1101, 3237, 267, 14088, 543, 18832, 267, 543, 14376, 873, 547, 15982, 1209, 542, 609, 5128, 269, 2991, 741, 2887, 267, 646, 1705, 711, 24044, 1010, 13414, 547, 873, 855, 16219, 20778, 585, 782, 741, 18939, 269, 2991, 519, 6360, 267, 646, 1500, 513, 26315, 609, 25424, 267, 513, 26315, 1063, 5128, 543, 782, 2713, 7919, 563, 279, 269, 1548, 616, 519, 1985, 5933, 540, 2696, 779, 31694, 888, 18661, 8359, 2806, 1090, 267, 10912, 1864, 856, 540, 1010, 2197, 267, 1818, 1864, 968, 1492, 4651, 540, 513, 21318, 540, 6082, 892, 630, 7049, 8412, 476, 1704, 281, 276, 1070, 543, 9621, 547, 12196, 538, 1864, 968, 718, 519, 6082, 540, 519, 3618, 892, 630, 7049, 8412, 476, 1321, 281, 274, 1040, 634, 1004, 26731, 689, 14062, 1131, 581, 519, 3972, 2465, 540, 519, 10143, 9153, 1500, 547, 519, 24663, 338, 269, 2696, 4646, 5840, 607, 1010, 6074, 1004, 267, 1863, 532, 873, 689, 8474, 538, 5527, 267, 9591, 609, 873, 519, 26315, 540, 6778, 31291, 328, 267, 543, 267, 998, 15584, 267, 4758, 873, 1010, 1876, 269, 634, 28556, 29064, 513, 9097, 25863, 540, 519, 1004, 543, 513, 20778, 799, 1131, 1331, 782, 6082, 538, 513, 1007, 543, 2479, 331, 8463, 26315, 269, 3245, 519, 1004, 540, 5840, 543, 689, 519, 2777, 540, 3751, 6424, 267, 1131, 581, 4535, 519, 31050, 267, 4906, 563, 280, 269, 1548, 568, 519, 2407, 543, 17046, 3942, 540, 2696, 779, 31694, 888, 763, 2407, 543, 17046, 3942, 540, 2696, 779, 13414, 568, 12913, 538, 1010, 6478, 1500, 17145, 267, 4906, 2441, 267, 519, 18657, 1807, 543, 2407, 1145, 540, 31694, 269, 1261, 267, 1373, 519, 1152, 1532, 1122, 13516, 12312, 540, 2696, 1500, 812, 267, 568, 519, 3501, 543, 17046, 6478, 540, 519, 12429, 269, 769, 519, 11488, 540, 519, 12312, 543, 519, 10516, 540, 519, 13336, 267, 31694, 568, 1631, 4628, 2347, 267, 4352, 519, 5132, 540, 519, 5783, 1590, 7930, 9787, 922, 2407, 4644, 936, 519, 1576, 540, 5553, 563, 24685, 4758, 721, 1010, 12312, 267, 1010, 1152, 543, 17046, 6478, 267, 2696, 12038, 3388, 547, 721, 693, 2899, 538, 713, 6852, 6478, 267, 543, 646, 814, 1100, 811, 547, 2161, 1848, 630, 306, 5593, 3627, 540, 519, 9061, 994, 1015, 269, 1548, 568, 519, 1871, 540, 4357, 11240, 725, 888, 4407, 711, 10362, 547, 519, 16005, 540, 5132, 267, 4357, 11240, 725, 949, 948, 513, 1268, 547, 2661, 519, 5132, 607, 1279, 607, 789, 1291, 721, 547, 2441, 269, 634, 7395, 3563, 1756, 540, 519, 5783, 267, 799, 814, 519, 10279, 540, 10442, 971, 4357, 11240, 725, 267, 3112, 3398, 1346, 799, 3409, 547, 20546, 610, 2953, 602, 17046, 31694, 799, 568, 2441, 563, 763, 28298, 540, 23942, 31694, 454, 1556, 269, 4208, 543, 538, 1018, 1259, 568, 10143, 13414, 10299, 888, 18661, 968, 9188, 2231, 782, 2367, 547, 581, 10710, 543, 547, 2097, 547, 519, 1702, 540, 519, 5168, 892, 630, 272, 30227, 476, 273, 281, 275, 1070, 602, 568, 267, 540, 4906, 2441, 269, 1280, 713, 2601, 267, 2441, 1590, 581, 29064, 547, 782, 2687, 547, 1010, 1378, 4971, 267, 968, 7883, 8521, 543, 4001, 782, 6082, 892, 630, 31861, 476, 2764, 281, 866, 1040, 1656, 713, 568, 4547, 827, 676, 24347, 4301, 28673, 563, 1321, 269, 1548, 568, 24347, 4301, 28673, 888, 4037, 268, 8064, 267, 476, 10695, 267, 476, 9834, 267, 476, 7176, 454, 288, 14006, 4301, 28673, 568, 519, 6771, 540, 519, 5048, 540, 2441, 267, 4547, 827, 689, 519, 1360, 20297, 540, 8567, 676, 1797, 540, 840, 2286, 267, 12946, 7198, 267, 5238 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2622, 22453, 5680, 630, 21720, 569, 27571, 547, 519, 5680, 264, 568, 513, 1062, 540, 954, 15062, 539, 15214, 3667, 6054, 15600, 3842, 519, 5769, 269, 25494, 568, 513, 1920, 540, 7406, 910, 22372, 8950, 13033, 4066, 585, 10871, 1858, 5121, 630, 28356, 338, 1306, 2096, 13240, 7913, 4427, 2675, 686, 828, 7412, 630, 5084, 20784, 264, 568, 513, 1106, 540, 667, 20784, 267, 513, 1239, 10618, 2029, 602, 6087, 5488, 1239, 6771, 936, 21019, 17791, 7483, 769, 1249, 267, 519, 1297, 540, 5904, 602, 616, 3060, 539, 568, 3395, 5039, 958, 269, 589, 1360, 1804, 8167, 540, 2123, 5904, 5781, 1921, 547, 519, 5769, 547, 5968, 543, 4309, 1344, 269, 589, 2123, 2780, 630, 7193, 264, 568, 1022, 8950, 4171, 3312, 6455, 3902, 2450, 543, 7207, 1118, 621, 3730, 585, 2043, 543, 799, 568, 5497, 547, 581, 13234, 634, 5769, 568, 513, 2518, 1062, 540, 10562, 8950, 5121, 834, 310, 790, 1652, 257, 13033, 267, 1419, 9001, 5985, 6049, 5121, 267, 814, 5921, 13033, 568, 4742, 5051, 24819, 1256, 538, 5985, 7384, 5054, 563, 763, 2165, 8800, 6227, 782, 540, 1346, 2694, 540, 513, 2780, 602, 616, 15889, 3615, 269, 30003, 7193, 8800, 589, 6093, 9608, 2780, 5161, 540, 513, 2013, 610, 669, 817, 529, 538, 513, 13486, 3337, 630, 9188, 330, 9008, 543, 519, 1739, 2694, 12624, 4580, 27989, 267, 10525, 267, 1379, 7727, 267, 15791, 267, 1883, 15236, 267, 23252, 543, 8983, 616, 782, 8800, 563, 347, 5575, 19087, 630, 9288, 22817, 270, 16978, 4435, 22817, 10534, 15612, 2209, 1475, 12901, 1731, 344, 1492, 571, 7271, 267, 16338, 5422, 267, 20918, 523, 23038, 697, 2008, 347, 25284, 30154, 20905, 1475, 297, 659, 638, 731, 3138, 558, 267, 30551, 5422, 267, 12370, 4460, 594, 267, 2098, 274, 2008, 347, 13553, 19087, 630, 309, 659, 10840, 570, 25683, 10534, 15612, 2209, 1475, 4263, 11446, 4752, 1700, 29155, 787, 8950, 267, 22126, 476, 2568, 275, 267, 6167, 4353, 3722, 476, 2568, 267, 6167, 4353, 3722, 476, 6344, 2008, 347, 25284, 30154, 20905, 1475, 8624, 1601, 639, 267, 13673, 296, 3722, 267, 25480, 9540, 4149, 7051, 21885, 10724, 267, 661, 9169, 3722, 267, 25480, 4460, 594, 267, 11483, 7644, 3722, 267, 11581, 309, 3722, 267, 6167, 4353, 3722, 594, 267, 22126, 476, 3583, 272, 267, 22126, 476, 3583, 273, 267, 22126, 476, 20981, 267, 2098, 2420, 2008, 347, 23612, 19087, 630, 11514, 4740, 27820, 543, 9399, 296, 267, 9049, 296, 267, 700, 10485, 21091, 11387, 10534, 14611, 325, 29707, 1475, 296, 13696, 476, 3583, 280, 271, 267, 22126, 476, 3583, 279, 271, 267, 3590, 270, 11740, 267, 645, 7419, 6224, 2008, 347, 14737, 545, 558, 13459, 1475, 303, 7894, 268, 279, 267, 623, 7894, 268, 1556, 267, 3590, 270, 3953, 267, 3590, 270, 3607, 2008, 347, 19177, 628, 19087, 630, 309, 299, 10485, 7471, 11387, 10534, 14737, 545, 558, 13459, 1475, 22849, 311, 267, 22126, 3590, 1775, 2008, 347, 275, 19229, 2890, 26367, 1475, 4504, 601, 476, 6110, 275, 267, 27311, 476, 29024, 271, 2008, 347, 279, 19229, 2890, 26367, 1475, 4504, 601, 476, 8517, 279, 267, 27311, 476, 3199, 279, 271, 267, 16359, 7637, 476, 27151, 271, 267, 16359, 7637, 476, 27151, 280, 267, 631, 5308, 5303, 476, 20981, 273, 267, 2098, 559, 690, 2098, 3199, 2008, 347, 1626, 19229, 2890, 26367, 1475, 3199, 279, 279, 267, 2098, 559, 690, 2098, 8517, 271, 267, 654, 17584, 476, 4792, 279, 1626, 270, 4792, 279, 6349, 2008, 347, 3953, 19229, 2890, 26367, 1475, 3199, 274, 10436, 267, 19999, 1756, 267, 476, 27151, 876, 267, 8121, 300, 6189, 2008, 347, 5038, 19229, 2890, 26367, 1475, 343, 10436, 268, 5038, 267, 5295, 15425, 267, 24696, 4916, 267, 9501, 2752, 290, 2008, 347, 21615, 539, 4765, 2780, 1475, 3199, 275, 279, 267, 476, 3199, 276, 272, 2008, 19064, 5966, 2780, 1475, 5327, 330, 9008, 2780, 267, 5851, 2780, 267, 700, 2194, 641, 2780, 267, 9608, 3059, 13930, 630, 303, 6395, 1070, 5800, 762, 2780, 267, 7305, 339, 2780, 267, 23203, 762, 2780, 2008, 21511, 648, 3749, 270, 23024, 14939, 1475, 23797, 636, 2780, 267, 11906, 2780, 267, 5027, 7384, 267, 30677, 2780, 267, 1975, 842, 16361, 1759, 2780, 2008, 347, 8110, 8327, 531, 3926, 630, 19152, 270, 16059, 10534, 19152, 1475, 300, 1787, 267, 6206, 4580, 267, 20717, 22496, 267, 12005, 31554, 2008, 347, 13828, 1475, 14503, 641, 6853, 12210, 5397, 267, 10434, 12210, 267, 30677, 1167, 5397, 267, 17791, 1440, 5793, 2008, 347, 20663, 536, 1380, 525, 1475, 14112, 2039, 1475, 11965, 268, 22446, 267, 590, 5425, 296, 267, 623, 5746, 267, 18292, 2008, 347, 16524, 2039, 630, 20663, 13033, 10534, 292, 22313, 267, 11083, 300, 267, 674, 291, 14888, 2008, 25413, 2264, 4016, 547, 2694, 540, 519, 2780, 799, 798, 711, 723, 513, 1570, 1106, 267, 971, 607, 3292, 267, 1239, 267, 10873, 267, 3092, 269, 634, 1686, 540, 2780, 8800, 13315, 519, 8800, 267, 922, 6189, 267, 543, 922, 1764, 593, 3301, 269, 634, 4165, 1731, 344, 1492, 571, 7271, 630, 391, 490, 19508, 660, 22688, 330, 22688, 16659, 15184, 22688, 16745, 337, 16745, 606, 2389, 328, 268, 7288, 268, 519, 518, 910, 7795, 568, 606, 3504, 7344, 18185, 630, 10193, 4330, 607, 519, 1101, 1634, 834, 7344, 634, 16338, 5422, 729, 606, 13128, 7344, 9498, 2966, 547, 9184, 3634, 9971, 3252, 269, 634, 20918, 523, 23038, 697, 729, 513, 645, 558, 2125, 697, 1031, 676, 519, 2136, 2276, 8136, 5794, 17086, 1282, 2622, 2782, 4083, 267, 543, 519, 2136, 2276, 5794, 10414, 538, 519, 634, 10496, 638, 731, 700, 7112, 568, 513, 7344, 700, 7112, 267, 11827, 676, 9478, 21322, 10496, 638, 731, 538, 476, 5197, 272, 267, 602, 814, 9475, 5309, 3481, 538, 13594, 4580, 1142, 4737, 540, 799, 14687, 547, 634, 10763, 2599, 267, 606, 1271, 1900, 538, 519, 3778, 540, 5904, 267, 729, 519, 1374, 540, 513, 7344, 2489, 26928, 8950, 676, 519, 3703, 22301, 8176, 634, 22126, 4201, 11703, 25627, 2552, 9776, 18185, 630, 6789, 6717, 264, 1572, 519, 4460, 594, 676, 12370, 2160, 267, 729, 519, 1101, 1804, 8397, 13128, 3059, 23951, 2784, 2098, 2224, 1412, 338, 634, 2311, 11446, 4752, 1700, 29155, 787, 8950, 630, 13235, 264, 729, 519, 1101, 5907, 7913, 17270, 3926, 634, 22126, 476, 2568, 275, 729, 513, 1852, 8470, 1982, 30154, 18329, 29626, 623, 4875, 5189, 538, 476, 3707, 279, 267, 543, 634, 3816, 15838, 11969, 476, 30156, 623, 29888, 1532, 13635, 23553, 623, 4875, 3556, 9498, 2966, 538, 476, 3707, 280, 267, 729, 4421, 538, 1079, 3631, 519, 6167, 4353, 3722, 476, 2568, 630, 634, 3816, 15838, 11969, 476, 30156, 623, 29888, 1532, 13635, 23553, 623, 4875, 3556, 9498, 2966, 538, 476, 3707, 280, 267, 729, 4421, 538, 1079, 3631, 519, 6167, 4353, 3722, 476, 2568, 630, 901, 568, 513, 1592, 540, 28820, 10840, 8546, 5904, 267, 11231, 676, 4266, 2322, 883, 3028, 2311, 11446, 4752, 1700, 29155, 787, 8950, 630, 3707, 273, 910, 711, 570, 1005, 2347, 634, 2051, 1601, 639, 6191, 941, 5907, 17270, 3457, 1031, 676, 3703, 3009, 3691, 5474, 547, 1224, 7402, 7973, 539, 4436, 6835, 1282, 13673, 296, 3722, 267, 2110, 585, 18329, 31592, 6715, 15249, 1656, 8950, 267, 729, 519, 1101, 2489, 26928, 5907, 8950, 269, 634, 25480, 9540, 4149, 7051, 21885, 10724, 630, 7704, 4932, 267, 12183, 24887, 17926, 267, 729, 519, 1158, 781, 1101, 6740, 3491, 13559, 8950, 269, 18329, 5548, 599, 19554, 4201, 11703, 18185, 630, 661, 9169, 3722, 264, 729, 606, 2038, 3703, 8950, 269, 901, 2376, 568, 827, 519, 2038, 3703, 2780, 269, 634, 2165, 834, 10048, 17998, 4460, 594, 257, 666, 849, 3277, 547, 519, 2997, 549, 25480, 5230, 17177, 828, 538, 17241, 293, 3028, 1282, 11483, 7644, 3722, 630, 595, 11492, 4290, 585, 590, 524, 1304, 881, 543, 594, 26998, 755, 7434, 681, 1965, 2514, 589, 2588, 11703, 595, 9631, 13459, 267, 14733, 1315, 262, 338, 3522, 22688, 337, 19508, 330, 270, 11581, 309, 3722, 630, 661, 7898, 3055, 667, 568, 4740, 966, 513, 686, 762, 589, 2588, 11703, 595, 9631, 13459, 264, 729, 835, 540, 519, 9998, 5907, 23675, 634, 6167, 4353, 3722, 594, 630, 772, 715, 594, 966, 476, 619, 531, 589, 2588, 11703, 595, 9631, 13459, 594, 264, 729, 519, 1101, 5010, 2780, 1500, 538, 519, 2136, 2276, 634, 22126, 476, 3583, 272, 267, 1634, 607, 519, 16470, 18185, 1247, 538, 1646, 729, 9307, 547, 519, 1857, 593, 4989, 476, 3066, 267, 634, 22126, 476, 3583, 273, 630, 6337, 729, 9307, 5181, 476, 1839, 267, 476, 4198, 274, 543, 32585, 5239, 476, 272, 267, 476, 4198, 275, 267, 855, 519, 1101, 2504, 2203, 729, 711, 8704, 2394, 634, 22126, 476, 20981, 630, 8666, 729, 835, 540, 22126, 11313, 338, 2038, 23675, 543, 519, 1158, 779, 1101, 2527, 1790, 22004, 630, 8666, 2780, 6423, 2098, 2420, 630, 8518, 18988, 585, 519, 26054, 7435, 18988, 634, 2098, 2420, 729, 519, 18749, 8950, 2203, 23951, 2784, 2098, 2224, 2919, 630, 1492, 1101, 5843, 577, 2354, 329, 17989, 347, 2431, 347, 628, 3518, 347, 1220, 29210, 347, 19859, 577, 2354, 630, 21768, 15375, 3965, 609, 513, 12001, 6885, 6029, 519, 7471, 5547, 3330, 6301, 325, 29707, 630, 21865, 30351, 6053, 5219, 547, 607, 8262, 11635, 264, 616, 23675, 1031, 5631, 676, 1804, 3906, 585, 2565, 3156, 3335, 13557, 1239, 634, 22126, 476, 3583, 280, 271, 729, 513, 2034, 22831, 3690, 626, 528, 1242, 4528, 540, 519, 4505, 22126, 476, 3583, 280, 12511, 8546, 6301, 18134, 5904, 543, 729, 2966, 585, 834, 26171, 8397, 634, 22126, 476, 3583, 279, 271, 729, 513, 3690, 626, 528, 1242, 4756, 2262, 3259, 645, 7374, 2780, 538, 519, 22126, 476, 10384, 270, 10384, 271, 3126, 5010, 6189, 1899, 5189, 538, 4864, 476, 3422, 272, 602, 634, 22126, 3590, 270, 11740, 630, 590, 270, 11740, 264, 568, 513, 6301, 18134, 2780, 1062, 1920, 9307, 676, 22126, 593, 4989, 476, 278, 267, 476, 3422, 275, 269, 634, 1895, 540, 6301, 18134, 2780, 15712, 547, 22126, 538, 519, 476, 3192, 271, 338, 2968, 1634, 607, 519, 645, 7419, 6224, 281, 8738, 893, 338, 267, 6167, 4353, 3722, 267, 715, 10135, 267, 6513, 4578, 589, 1295, 545, 558, 13459, 630, 322, 3326, 13228, 6053, 9910, 264, 568, 513, 1362, 540, 3818, 268, 12528, 23675, 602, 6013, 538, 519, 1647, 2039, 540, 519, 7384, 8552, 538, 1063, 519, 4102, 11638, 268, 12528, 634, 623, 7894, 268, 279, 729, 519, 1101, 3811, 5010, 3687, 545, 558, 13459, 267, 3812, 676, 7913, 16811, 15278, 630, 291, 4488, 538, 519, 476, 3422, 271, 338, 634, 623, 7894, 268, 1556, 729, 513, 3126, 540, 476, 1626, 19229, 3687, 545, 558, 1584, 619, 4421, 676, 7913, 16811, 29651, 834, 21902, 476, 3953, 257, 28570, 338, 1934, 1280, 519, 9095, 1228, 1062, 4604, 1294, 590, 9298, 3590, 476, 3953, 269, 634, 22126, 3590, 270, 3607, 729, 513, 3687, 545, 558, 13459, 30630, 676, 22126, 689, 476, 2735, 274, 547, 476, 1220, 271, 8745, 834, 22849, 311, 257, 729, 8385, 606, 3600, 1258, 2096, 585, 966, 3352, 339, 783, 589, 546, 323, 816, 552, 262, 2473, 262, 8082, 267, 1312, 1317, 519, 22622, 311, 729, 2938, 607, 513, 476, 3953, 19229, 634, 22126, 3590, 1775, 568, 22126, 781, 3105, 5108, 540, 1949, 2966, 585, 22126, 1775, 3755, 543, 729, 13604, 8719, 676, 519, 22126, 5295, 7010, 538, 4989, 476, 1220, 279, 634, 27311, 476, 6110, 275, 267, 519, 1158, 781, 1101, 20749, 2139, 2582, 268, 13863, 12130, 1886, 549, 19485, 267, 729, 513, 476, 275, 19229, 17765, 269, 634, 27311, 476, 6110, 275, 568, 513, 476, 275, 19229, 6239, 4393, 1770, 630, 9573, 308, 5950, 676, 27311, 15278, 538, 476, 3192, 272, 634, 27311, 476, 29024, 271, 12130, 1886, 549, 19485, 729, 519, 24288, 547, 519, 27311, 476, 6110, 275, 269, 20640, 19229, 8713, 5825, 7363, 946, 606, 476, 279, 19229, 1239, 1668, 543, 513, 476, 1626, 19229, 2232, 1668, 799, 1797, 602, 741, 17372, 2230, 568, 3908, 547, 476, 5038, 22995, 338, 901, 568, 711, 513, 834, 11499, 634, 27311, 476, 8517, 279, 729, 606, 2038, 31632, 15129, 12130, 1886, 549, 19485, 2966, 543, 14475, 676, 27311, 543, 5189, 538, 4989, 476, 3192, 273, 634, 27311, 476, 3199, 279, 271, 729, 606, 2038, 12130, 1886, 549, 19485, 2966, 543, 14475, 676, 27311, 269, 634, 476, 27151, 271, 568, 606, 476, 279, 19229, 12130, 1886, 549, 19485, 3812, 676, 16359, 7637, 543, 5950, 16172, 1310, 519, 27311, 476, 3199, 279, 271, 538, 3735, 476, 3192, 275, 634, 16359, 7637, 476, 27151, 280, 568 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 543, 12798, 1831, 1644, 676, 11508, 609, 519, 3618, 781, 2627, 269, 634, 2360, 3823, 11508, 5884, 856, 24482, 609, 4463, 267, 865, 519, 834, 9008, 257, 540, 568, 15098, 3112, 581, 3989, 4010, 269, 4263, 4380, 8879, 19449, 27218, 7844, 288, 6310, 2203, 585, 11050, 569, 14574, 267, 1138, 6819, 267, 543, 30228, 519, 2497, 540, 519, 10009, 538, 519, 5790, 543, 945, 1898, 3123, 269, 6884, 5219, 547, 607, 27321, 4937, 19449, 27218, 17738, 610, 17985, 13967, 338, 12171, 1638, 16242, 763, 2604, 25116, 676, 519, 3618, 781, 5790, 693, 18593, 2016, 1448, 267, 11887, 519, 2921, 519, 1587, 540, 519, 14965, 10231, 693, 519, 1448, 519, 519, 2527, 540, 519, 1770, 1858, 6241, 540, 2011, 909, 519, 12297, 269, 4263, 4380, 8879, 24658, 14813, 14518, 5982, 630, 24479, 538, 519, 15423, 5311, 540, 476, 274, 268, 476, 3199, 30562, 2678, 264, 19501, 676, 610, 1373, 9070, 919, 998, 519, 11626, 269, 898, 5161, 540, 1312, 909, 16946, 1483, 1524, 16946, 3334, 269, 24951, 609, 18714, 5982, 6993, 583, 558, 730, 17183, 9866, 6326, 3590, 268, 763, 6789, 5308, 1982, 568, 513, 4745, 3646, 540, 519, 2817, 16661, 6796, 630, 301, 16703, 1070, 540, 8549, 28645, 10029, 630, 293, 8150, 1070, 543, 835, 4972, 1055, 16470, 630, 291, 7495, 1040, 27973, 538, 519, 4571, 268, 1960, 271, 338, 267, 519, 6789, 5308, 3301, 4196, 607, 519, 4182, 781, 3119, 8818, 4365, 11287, 3060, 269, 6789, 5308, 568, 1020, 547, 1489, 4365, 9472, 1644, 543, 18229, 4238, 543, 267, 693, 543, 1482, 942, 267, 1489, 519, 13668, 585, 519, 1558, 324, 7595, 267, 3289, 25233, 267, 543, 6172, 520, 1670, 1382, 2950, 6993, 7473, 6865, 288, 12087, 661, 27073, 28132, 4629, 299, 12179, 1505, 540, 8850, 9013, 519, 2744, 540, 513, 17513, 267, 6140, 835, 602, 6585, 543, 3977, 1216, 3586, 7488, 676, 519, 3403, 1377, 6993, 1998, 534, 3832, 288, 2527, 540, 6777, 267, 4224, 267, 543, 5924, 4672, 9991, 1524, 513, 7823, 610, 13141, 710, 269, 769, 2259, 267, 621, 4122, 4016, 547, 606, 6777, 521, 1578, 269, 769, 519, 2136, 2276, 267, 519, 2165, 6777, 13472, 814, 4122, 1031, 547, 1611, 513, 6777, 1285, 23750, 3832, 6993, 1998, 534, 3832, 27545, 288, 16861, 31015, 602, 2175, 666, 949, 15028, 538, 519, 1646, 540, 1285, 23750, 2583, 3769, 7823, 4525, 6993, 310, 7563, 341, 2747, 5453, 1430, 4741, 288, 345, 2803, 7351, 3080, 540, 519, 14768, 540, 519, 3345, 24611, 31210, 14934, 516, 11065, 871, 14956, 2287, 12019, 13571, 288, 4411, 4395, 3001, 5045, 610, 22236, 2059, 519, 9533, 26026, 13635, 543, 4279, 20463, 282, 891, 616, 2523, 17576, 324, 514, 523, 1282, 519, 5614, 3275, 11065, 871, 20671, 774, 8974, 10445, 288, 19711, 10445, 538, 799, 1007, 1646, 3217, 3135, 593, 606, 909, 13388, 851, 630, 17141, 519, 7178, 610, 22236, 2427, 1070, 607, 602, 519, 7088, 4667, 547, 1964, 32344, 610, 29608, 3330, 513, 18807, 4287, 11065, 871, 1606, 515, 1563, 1323, 341, 559, 1496, 20228, 836, 3910, 513, 1025, 11170, 731, 606, 341, 559, 799, 19082, 909, 13388, 267, 1996, 519, 10006, 620, 21510, 269, 589, 1394, 1606, 515, 1563, 606, 341, 559, 1419, 10522, 513, 1360, 3532, 4253, 2761, 7132, 513, 1164, 4049, 4365, 1761, 11065, 871, 13933, 288, 6633, 6238, 547, 3247, 609, 14027, 3595, 676, 2870, 513, 14616, 1858, 3769, 596, 2619, 11065, 871, 6503, 1103, 3289, 6331, 545, 8675, 267, 519, 25380, 909, 540, 1216, 998, 513, 31026, 527, 610, 8756, 538, 519, 4287, 6587, 547, 3339, 2095, 269, 7982, 532, 263, 629, 12934, 269, 7460, 298, 294, 9984, 589, 4831, 22018, 3772, 6521, 538, 2842, 4287, 630, 1721, 1383, 267, 5045, 12798, 13346, 547, 519, 7532, 1040, 11045, 2176, 6489, 338, 310, 514, 2583, 799, 6521, 538, 513, 4831, 22018, 3772, 4287, 609, 942, 4724, 513, 2016, 4087, 630, 324, 3052, 269, 689, 521, 719, 615, 569, 547, 521, 719, 515, 2120, 569, 1070, 610, 1689, 4287, 538, 513, 4831, 22018, 3772, 2631, 609, 4463, 630, 324, 3052, 269, 7178, 693, 519, 2627, 855, 4742, 811, 521, 719, 615, 569, 620, 21510, 1040, 634, 6587, 540, 1654, 1359, 12798, 563, 1103, 7088, 31986, 267, 513, 25380, 2842, 2356, 4016, 883, 547, 7432, 540, 606, 5045, 610, 22236, 2627, 2842, 609, 942, 547, 835, 1397, 1574, 614, 569, 3079, 521, 719, 515, 2120, 569, 4287, 269, 7982, 532, 540, 519, 2627, 2842, 666, 2333, 519, 1761, 609, 521, 4577, 4359, 676, 8375, 606, 4287, 531, 19852, 693, 1970, 2157, 11065, 2931, 322, 2660, 763, 6712, 827, 1379, 16559, 1283, 538, 945, 10071, 4287, 1275, 11065, 2931, 697, 306, 1399, 1501, 3289, 6331, 545, 2474, 267, 513, 11425, 2542, 3144, 593, 513, 2798, 540, 1634, 15627, 267, 606, 25162, 610, 835, 2847, 6295, 1448, 269, 645, 2931, 2074, 616, 3773, 593, 519, 5432, 15038, 547, 12446, 693, 519, 4463, 540, 519, 6293, 269, 2060, 20722, 710, 1634, 7299, 540, 519, 6293, 267, 602, 16263, 666, 581, 1031, 547, 3313, 713, 15038, 519, 824, 2798, 538, 540, 25610, 11065, 871, 4248, 4354, 557, 1103, 3289, 6331, 545, 2474, 267, 519, 19976, 9043, 540, 540, 3544, 540, 513, 5277, 538, 513, 1875, 10595, 6134, 2095, 538, 606, 1930, 8756, 267, 950, 519, 1216, 2627, 568, 9039, 6252, 547, 602, 19804, 651, 327, 1066, 7640, 539, 547, 519, 3178, 593, 1216, 2348, 1044, 1213, 906, 676, 519, 954, 6570, 540, 606, 25518, 971, 607, 513, 21394, 610, 10068, 269, 634, 2165, 4927, 3006, 1031, 538, 20722, 710, 13598, 2631, 547, 20301, 782, 1216, 2627, 12632, 282, 610, 676, 12632, 1141, 519, 1216, 666, 13576, 693, 17909, 2417, 982, 519, 2565, 11065, 871, 4248, 6356, 1103, 3289, 6331, 545, 2474, 267, 519, 957, 799, 513, 2481, 3079, 2824, 25518, 814, 538, 9870, 519, 2627, 540, 602, 1216, 4881, 689, 621, 11065, 871, 4248, 24627, 532, 22134, 6331, 545, 2783, 267, 25318, 6360, 3361, 676, 19654, 14499, 971, 607, 8756, 7182, 543, 5924, 1164, 2095, 6279, 513, 1524, 3613, 3195, 1476, 26475, 6908, 11065, 534, 1676, 13192, 24535, 6531, 5134, 540, 339, 4767, 547, 8831, 1524, 3297, 9678, 7823, 19589, 267, 1256, 593, 6382, 6531, 6954, 2395, 11065, 541, 665, 4802, 545, 6978, 13104, 288, 6531, 4806, 593, 9682, 2592, 910, 4749, 2254, 539, 538, 4434, 676, 5250, 540, 513, 1970, 2604, 4099, 11065, 541, 665, 4802, 545, 18630, 288, 3148, 538, 799, 513, 9023, 9386, 2291, 593, 513, 3586, 2604, 2627, 269, 4446, 665, 4802, 545, 10851, 616, 29202, 2127, 585, 13888, 2287, 543, 3181, 10949, 1870, 282, 3046, 32430, 1949, 267, 2390, 519, 1776, 1688, 267, 798, 711, 8858, 6209, 2242, 538, 8515, 269, 26451, 267, 2842, 19852, 2729, 1347, 752, 614, 626, 27688, 540, 606, 3046, 665, 4802, 545, 7997, 11065, 541, 665, 4802, 640, 288, 2268, 540, 519, 707, 540, 14404, 1881, 703, 513, 5714, 1331, 799, 7252, 540, 3586, 2604, 630, 529, 984, 541, 545, 264, 12969, 7252, 540, 1526, 762, 13021, 630, 529, 8803, 545, 1040, 21574, 6248, 3213, 518, 576, 1607, 2604, 540, 519, 5790, 607, 8612, 676, 513, 11281, 11065, 541, 32430, 3590, 21283, 16730, 4365, 1062, 538, 519, 3002, 543, 2604, 7252, 616, 21800, 267, 1775, 4318, 1421, 2837, 568, 7833, 630, 7224, 2837, 13506, 264, 593, 835, 3586, 1820, 2627, 269, 4446, 32430, 1949, 616, 6353, 676, 513, 3668, 540, 2842, 19852, 267, 543, 3976, 786, 3622, 30369, 2127, 585, 9157, 19711, 10445, 1646, 269, 6423, 3046, 665, 4802, 545, 7997, 563, 29995, 267, 538, 11593, 14368, 1108, 267, 8100, 547, 3046, 32430, 1949, 3277, 883, 6697, 3046, 32430, 1949, 910, 1949, 31042, 799, 4411, 13141, 1149, 2291, 267, 855, 616, 6252, 547, 4463, 9344, 593, 513, 3586, 2604, 7252, 269, 2311, 2147, 1949, 267, 4463, 32725, 543, 568, 1278, 916, 616, 6252, 10876, 267, 543, 27810, 798, 711, 1689, 4287, 609, 4463, 563, 2026, 513, 1852, 267, 513, 3020, 6697, 3046, 32430, 1062, 666, 3592, 581, 6913, 538, 519, 1483, 5790, 269, 1306, 811, 1949, 630, 7945, 607, 6806, 1970, 338, 610, 2759, 4752, 1970, 338, 264, 949, 3914, 20722, 710, 1533, 865, 568, 2673, 909, 6697, 3046, 32430, 267, 519, 2165, 3046, 32430, 1062, 2356, 568, 1031, 538, 513, 3448, 2631, 547, 4766, 1949, 602, 616, 2731, 1152, 2673, 547, 1373, 6697, 3046, 32430, 267, 1775, 4318, 1421, 568, 1278, 916, 543, 4463, 32725, 616, 3592, 6252, 10876, 543, 4287, 531, 2842, 19852, 568, 4617, 11065, 17955, 11550, 23604, 4811, 17829, 2472, 713, 1699, 930, 6041, 540, 519, 3490, 1239, 269, 901, 6041, 949, 711, 8209, 581, 2901, 538, 2407, 6571, 610, 6813, 519, 2407, 1858, 540, 3795, 269, 12476, 2472, 27574, 581, 1031, 547, 5352, 835, 8642, 4159, 610, 2417, 4393, 269, 12476, 14484, 2032, 289, 18847, 14484, 2032, 568, 27069, 9949, 3239, 269, 570, 2586, 689, 519, 9803, 630, 16006, 4113, 15038, 264, 20105, 267, 621, 519, 519, 3119, 3239, 1031, 585, 834, 5408, 1018, 781, 856, 972, 2668, 1703, 616, 1079, 2934, 540, 12476, 14484, 2032, 3239, 282, 519, 2110, 2039, 11056, 799, 11498, 856, 547, 476, 14862, 562, 27658, 5195, 630, 16960, 29417, 5195, 270, 15996, 12919, 264, 1312, 835, 1279, 2039, 4528, 945, 11498, 856, 547, 476, 27886, 562, 27658, 5195, 630, 26326, 7939, 5195, 270, 29121, 12919, 1040, 901, 3239, 568, 2139, 519, 12032, 540, 519, 476, 16006, 4113, 15038, 11571, 1282, 1142, 4320, 11571, 15368, 514, 1234, 12737, 532, 2690, 3289, 6331, 545, 2474, 267, 11811, 602, 8591, 547, 519, 15895, 7509, 540, 519, 16173, 538, 1747, 547, 948, 22507, 519, 1216, 17211, 269, 1775, 4318, 282, 1216, 12842, 3330, 519, 2244, 602, 1281, 711, 1491, 519, 1106, 540, 5378, 339, 601, 8663, 20359, 269, 6195, 298, 294, 12988, 532, 268, 21450, 4831, 22018, 3772, 6521, 538, 2842, 4287, 630, 1721, 1383, 267, 5045, 12798, 13346, 547, 519, 7532, 1040, 6195, 11586, 22877, 6195, 300, 7582, 6826, 5765, 6826, 778, 661, 12509, 763, 3350, 540, 11824, 2326, 676, 930, 4999, 676, 1164, 6329, 267, 14768, 543, 29500, 267, 610, 2842, 11065, 792, 781, 595, 720, 314, 20228, 836, 3910, 513, 3148, 540, 7088, 8397, 10047, 267, 538, 513, 10917, 652, 267, 799, 568, 20386, 538, 5230, 18254, 269, 6270, 3296, 1419, 14626, 1938, 609, 513, 16986, 13622, 16079, 543, 5924, 8544, 665, 5670, 821, 267, 16887, 835, 2404, 609, 606, 24605, 4049, 269, 634, 2165, 9356, 606, 8594, 3238, 2882, 11287, 971, 606, 1858, 11617, 267, 799, 1590, 581, 2944, 693, 2673, 2039, 538, 13719, 15287, 269, 6826, 879, 3228, 17361, 763, 2142, 879, 3228, 2842, 2450, 568, 513, 1062, 1031, 547, 7447, 543, 5359, 23090, 11250, 950, 2942, 7893, 17102, 568, 2139, 269, 898, 1031, 5708, 547, 519, 2038, 476, 866, 628, 11416, 676, 31288, 11427, 2605, 8646, 2142, 879, 3228, 540, 519, 3703, 13108, 607, 513, 10092, 547, 21264, 12798, 689, 1808, 593, 4262, 269, 3245, 602, 942, 267, 519, 4336, 814, 1044, 2413, 1242, 585, 2360, 593, 2244, 563, 6826, 879, 3228, 10414, 476, 271, 910, 3213, 559, 1447, 982, 476, 272, 737, 339, 267, 2836, 332, 267, 7256, 2627, 5347, 1483, 11604, 6438, 269, 1284, 539, 14380, 20005, 569, 563, 6826, 879, 3228, 10414, 476, 272, 910, 6489, 476, 272, 268, 274, 737, 339, 267, 8752, 22014, 1877, 267, 2480, 3315, 678, 31454, 267, 1100, 9044, 539, 1212, 7370, 269, 3911, 5803, 20847, 6920, 2842, 4287, 267, 1869, 2842, 642, 6951, 563, 6826, 879, 3228, 10414, 476, 273, 910, 6489, 476, 275, 268, 277, 737, 339, 267, 8752, 645, 872, 2763, 267, 8899, 5951, 7410, 267, 1212, 7370, 4837, 344, 267, 9039, 8840, 6329, 269, 6489, 1745, 539, 2490, 3068, 267, 3762, 15309, 548, 267, 642, 6951, 1205, 693, 1940, 762, 563, 6826, 879, 3228, 5295, 476, 274, 910, 6489, 476, 278, 268, 1015, 524, 339, 267, 22918, 548, 645, 872, 2763, 267, 14066, 530, 8491, 267, 1212, 7370, 2253, 979, 11523, 267, 16559, 3043, 322, 2355, 269, 27817, 543, 5634, 1000, 12127, 7683, 3001, 267, 1769, 17514, 6905, 563, 15430, 7808, 10414, 476, 275, 910, 6489, 338, 476, 1556, 268, 1626, 737, 339, 267, 3525, 4733, 645, 872, 2763, 267, 9540, 6329, 476, 272, 910, 275, 10264, 269, 3395, 3476, 267, 3875, 3043, 322, 2355, 269, 623, 850, 267, 3762, 267, 543, 1033, 778, 762, 1957, 24850, 267, 1507, 3529, 5823, 1847, 563, 6826, 879, 3228, 10414, 476, 276, 910, 6489, 338, 476, 1704, 268, 2641, 737, 339, 267, 18610, 645, 872, 2763, 267, 10815, 523, 6329, 476, 275, 910 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 1548, 568, 476, 10219, 538, 12825, 1106, 2496, 1012, 670, 19860, 282, 1703, 1590, 581, 23055, 538, 519, 2626, 726, 345, 948, 7064, 692, 11321, 476, 280, 267, 476, 1001, 279, 692, 10233, 6357, 3497, 7565, 276, 317, 274, 692, 2971, 19247, 1384, 259, 10219, 815, 476, 276, 1422, 9392, 476, 276, 1422, 9392, 476, 276, 6911, 3719, 1269, 276, 815, 2715, 276, 8703, 272, 10592, 17798, 20270, 276, 8703, 272, 348, 1422, 9392, 2715, 276, 8703, 272, 348, 1422, 9392, 2715, 276, 8703, 272, 348, 815, 11513, 3847, 263, 276, 9368, 264, 8703, 272, 1341, 476, 272, 1341, 476, 272, 348, 815, 2715, 276, 8703, 274, 10592, 259, 346, 276, 8703, 274, 4151, 568, 538, 12825, 1106, 0, 7445, 14050, 3189, 305, 22042, 272, 31765, 3189, 3944, 1948, 272, 3686, 11377, 14050, 3189, 289, 22042, 272, 31765, 3189, 8578, 1948, 272, 3686, 14204, 299, 273, 20638, 609, 700, 272, 8617, 1436, 13053, 5153, 692, 306, 9321, 1314, 454, 314, 1109, 706, 1109, 267, 1109, 323, 341, 1109, 267, 1109, 11276, 1109, 267, 1109, 323, 345, 1109, 316, 1109, 284, 1109, 331, 272, 318, 2908, 2023, 318, 15153, 263, 1109, 288, 267, 1109, 321, 267, 1109, 14433, 267, 1109, 14153, 267, 1109, 340, 267, 1109, 341, 267, 1109, 344, 267, 1109, 345, 1109, 2020, 8253, 566, 454, 2171, 946, 1269, 296, 5332, 1422, 514, 1422, 289, 23334, 8703, 333, 1422, 9392, 562, 4151, 547, 20301, 519, 3961, 5119, 543, 1269, 272, 5332, 1422, 514, 1422, 289, 23334, 11892, 333, 259, 547, 20301, 519, 6152, 786, 782, 2609, 3160, 547, 835, 269, 9717, 513, 6152, 1269, 340, 1422, 514, 1422, 289, 23334, 11892, 333, 259, 649, 946, 1269, 291, 26086, 264, 1422, 514, 1422, 289, 23334, 8703, 333, 1422, 9392, 562, 20954, 547, 20301, 519, 7222, 15497, 5119, 269, 1403, 1269, 341, 259, 568, 849, 538, 4399, 289, 23334, 11892, 333, 8961, 1269, 340, 1315, 642, 1422, 514, 1422, 289, 23334, 11892, 333, 259, 18575, 3693, 30150, 6498, 269, 634, 10035, 1269, 340, 13064, 272, 4151, 568, 3989, 676, 1269, 340, 13064, 272, 348, 815, 476, 272, 5332, 1315, 579, 16859, 303, 17123, 454, 2171, 616, 2016, 513, 2318, 10859, 12413, 9548, 5119, 1269, 288, 1422, 514, 1422, 289, 23334, 8703, 333, 1422, 9392, 562, 20954, 513, 6152, 1269, 321, 1422, 514, 1422, 289, 23334, 11892, 333, 259, 543, 519, 9470, 1513, 4399, 14433, 1422, 514, 1422, 289, 23334, 20731, 266, 8961, 4399, 14153, 1422, 514, 1422, 289, 23334, 20731, 266, 10608, 634, 1599, 1269, 293, 2433, 1422, 289, 23334, 8703, 275, 333, 348, 1422, 21375, 1422, 289, 23334, 8703, 275, 333, 4151, 568, 3989, 676, 3230, 293, 1422, 3847, 263, 1422, 8218, 15204, 2410, 322, 348, 579, 2073, 642, 2073, 586, 2073, 1990, 1422, 754, 15204, 348, 1422, 2431, 264, 815, 1422, 3847, 263, 1422, 8218, 15204, 2410, 322, 348, 667, 630, 579, 3738, 586, 8607, 667, 630, 642, 3738, 1990, 8607, 1341, 589, 630, 340, 910, 642, 264, 1341, 536, 910, 586, 1341, 1422, 14433, 476, 272, 5332, 8607, 910, 589, 630, 340, 910, 642, 264, 910, 536, 910, 1990, 1341, 1422, 14433, 476, 272, 5332, 1422, 754, 15204, 348, 1422, 2431, 14638, 9717, 18159, 340, 267, 642, 267, 586, 267, 1990, 264, 1422, 514, 1422, 289, 23334, 20731, 266, 3867, 275, 333, 4151, 713, 6296, 31758, 585, 18159, 1422, 18773, 579, 267, 1422, 18773, 642, 267, 1422, 18773, 586, 2073, 1422, 18773, 1990, 3738, 259, 971, 602, 3230, 293, 630, 340, 267, 642, 267, 586, 267, 1990, 264, 1341, 674, 3867, 263, 272, 14587, 630, 340, 267, 642, 267, 586, 267, 1990, 3738, 1422, 3847, 263, 1422, 8218, 15204, 2410, 322, 348, 1422, 18773, 579, 8607, 1422, 18773, 642, 8607, 1422, 18773, 586, 8607, 1422, 18773, 1990, 1422, 754, 15204, 348, 1422, 2431, 264, 815, 1422, 14153, 1422, 3847, 263, 1422, 8218, 15204, 2410, 322, 348, 476, 272, 5332, 8607, 476, 272, 5332, 8607, 476, 271, 8607, 476, 271, 1422, 754, 15204, 348, 1422, 2431, 264, 9681, 288, 454, 763, 4661, 589, 568, 606, 1269, 333, 1422, 9392, 562, 259, 2318, 17386, 1483, 5119, 780, 321, 454, 763, 4661, 536, 568, 1483, 6241, 6152, 540, 3259, 1269, 333, 16859, 14433, 454, 763, 4661, 25754, 568, 513, 1483, 22185, 269, 898, 14687, 547, 4399, 14433, 259, 538, 519, 4901, 1657, 630, 5408, 20828, 3738, 780, 14153, 454, 763, 4661, 18665, 568, 513, 1483, 22185, 269, 898, 14687, 547, 4399, 14153, 259, 538, 519, 4901, 1657, 780, 340, 267, 642, 267, 586, 267, 1990, 454, 763, 7440, 579, 267, 642, 267, 586, 267, 543, 1990, 616, 1483, 6241, 10321, 540, 3259, 1269, 333, 10608, 2353, 519, 2609, 540, 891, 10321, 1590, 581, 3152, 982, 4642, 780, 706, 267, 546, 341, 267, 10085, 267, 546, 345, 454, 763, 2132, 2418, 5918, 267, 546, 341, 267, 10085, 267, 543, 546, 345, 616, 1483, 6241, 10321, 540, 3259, 1269, 333, 10608, 1358, 5330, 6606, 547, 4399, 18773, 579, 8961, 4399, 18773, 642, 8961, 4399, 18773, 586, 8961, 543, 4399, 18773, 1990, 259, 538, 519, 4901, 1657, 780, 7078, 454, 763, 3758, 1007, 2023, 318, 15153, 318, 758, 6230, 3568, 606, 1383, 543, 1449, 540, 561, 272, 318, 2908, 2023, 318, 15153, 269, 898, 7024, 3020, 952, 519, 1449, 10596, 543, 7301, 6382, 269, 0, 258, 30776, 8006, 9819, 692, 30475, 912, 272, 269, 5463, 476, 279, 267, 476, 1001, 275, 692, 2162, 7935, 5287, 306, 9567, 692, 272, 269, 634, 1966, 3948, 267, 782, 4632, 543, 2016, 270, 4385, 1239, 692, 1692, 649, 666, 3313, 634, 8006, 540, 519, 7828, 540, 519, 8254, 4114, 574, 527, 569, 602, 713, 4605, 3576, 609, 602, 2496, 263, 649, 917, 602, 7828, 540, 519, 8254, 1500, 676, 930, 2694, 855, 649, 1293, 873, 607, 513, 6094, 835, 538, 19750, 9273, 25589, 273, 269, 31999, 4834, 454, 332, 815, 7117, 1315, 533, 476, 272, 11721, 815, 476, 272, 270, 336, 1341, 476, 272, 9706, 535, 815, 535, 9706, 1922, 535, 2433, 674, 5914, 3259, 7117, 815, 20028, 1063, 540, 519, 1843, 543, 519, 7828, 454, 335, 815, 20028, 1063, 540, 519, 3239, 543, 519, 7828, 544, 815, 13804, 2305, 454, 274, 269, 634, 3801, 693, 513, 3070, 454, 328, 6836, 547, 1265, 7828, 13804, 2305, 676, 12719, 519, 3845, 1063, 1169, 1298, 9014, 540, 519, 14610, 543, 1287, 1265, 922, 13804, 2305, 630, 544, 3738, 1547, 1310, 602, 1775, 1031, 713, 4542, 476, 272, 11721, 815, 476, 272, 9706, 1341, 476, 272, 270, 336, 454, 810, 1775, 3893, 535, 16301, 533, 1631, 1775, 21645, 917, 875, 1775, 1590, 1265, 922, 8006, 16317, 2971, 5900, 3737, 28567, 1384, 1892, 476, 30607, 12650, 675, 10422, 7582, 454, 17572, 2450, 912, 4391, 269, 274, 22995, 454, 21366, 912, 9264, 454, 273, 269, 5463, 476, 1015, 267, 476, 1001, 275, 692, 2162, 1635, 1056, 518, 692, 2467, 781, 3592, 513, 4642, 3178, 540, 2361, 538, 519, 8666, 799, 5267, 513, 1360, 1507, 535, 3613, 641, 780, 274, 269, 5463, 476, 1015, 267, 476, 1001, 275, 692, 2162, 7935, 5287, 306, 9567, 692, 6614, 327, 649, 666, 8275, 602, 519, 1843, 568, 2282, 476, 273, 293, 865, 666, 621, 948, 721, 547, 865, 1324, 519, 1966, 7790, 5430, 1073, 329, 550, 666, 711, 581, 538, 513, 1360, 2484, 3845, 692, 275, 269, 5463, 476, 1015, 267, 476, 1001, 275, 692, 2162, 620, 328, 544, 748, 822, 328, 692, 296, 6056, 634, 8006, 540, 519, 7828, 5673, 547, 692, 299, 839, 11098, 563, 763, 2243, 568, 711, 865, 1454, 1344, 693, 938, 31840, 855, 454, 2171, 666, 2626, 713, 2243, 609, 1114, 10054, 269, 1434, 9939, 16921, 692, 276, 269, 5463, 476, 1015, 267, 476, 1001, 275, 692, 2162, 1635, 1056, 518, 692, 257, 325, 3613, 641, 257, 26905, 5223, 540, 17122, 3259, 547, 27934, 780, 277, 269, 5463, 476, 1015, 267, 476, 1001, 275, 692, 2162, 620, 328, 544, 748, 822, 328, 692, 328, 723, 513, 7726, 2433, 8006, 1797, 11098, 540, 7828, 610, 922, 3208, 531, 7790, 2439, 278, 269, 5463, 476, 1015, 267, 476, 1001, 275, 692, 2162, 1635, 1056, 518, 692, 291, 3554, 2678, 568, 26667, 547, 11098, 780, 279, 269, 5463, 476, 1015, 267, 476, 1001, 275, 692, 2162, 7935, 5287, 306, 9567, 692, 327, 7825, 332, 513, 1434, 2243, 2073, 1775, 1589, 4466, 519, 11098, 540, 519, 7828, 922, 579, 5404, 6372, 610, 922, 2182, 543, 952, 649, 1616, 547, 4194, 621, 649, 1590, 917, 1164, 1377, 4542, 630, 811, 982, 1164, 1153, 3738, 865, 16785, 29087, 621, 1797, 3208, 531, 692, 280, 269, 5463, 476, 1015, 267, 476, 1001, 275, 692, 2162, 4158, 5886, 692, 296, 1589, 649, 1058, 7447, 519, 3845, 540, 519, 8254, 547, 519, 1843, 269, 19227, 267, 649, 666, 5173, 519, 8006, 540, 519, 7828, 780, 1015, 269, 5463, 476, 1015, 267, 476, 1001, 275, 692, 2162, 7935, 5287, 306, 9567, 692, 1080, 15069, 865, 2243, 568, 875, 7790, 1411, 1589, 713, 4542, 666, 948, 7790, 535, 815, 544, 630, 7117, 910, 533, 3738, 1315, 630, 332, 266, 272, 8203, 273, 26042, 8310, 12995, 676, 513, 15645, 1807, 281, 5463, 476, 1015, 267, 476, 1001, 275, 454, 1556, 269, 5463, 476, 1015, 267, 476, 1001, 275, 692, 2162, 4158, 5886, 692, 332, 284, 272, 270, 273, 284, 336, 9706, 865, 533, 284, 336, 270, 273, 543, 476, 272, 11721, 284, 272, 9706, 266, 272, 270, 336, 865, 535, 284, 274, 270, 273, 335, 543, 1656, 1018, 3116, 798, 649, 723, 286, 4986, 3267, 780, 1321, 269, 5463, 476, 1015, 267, 476, 1001, 275, 692, 2162, 4158, 5886, 692, 1432, 513, 2182, 2243, 27250, 1724, 269, 5463, 476, 1015, 267, 476, 1001, 275, 692, 2162, 620, 328, 544, 748, 822, 328, 692, 763, 3239, 3172, 2305, 3239, 568, 3362, 7229, 2687, 547, 713, 17552, 32372, 476, 271, 269, 276, 15426, 568, 621, 1776, 1259, 547, 3914, 1864, 454, 2414, 3489, 519, 8006, 540, 519, 7828, 2496, 1691, 269, 5463, 476, 1015, 267, 476, 1001, 275, 692, 2162, 16065, 281, 22895, 528, 692, 287, 29662, 5287, 306, 9567, 4534, 1684, 596, 917, 1141, 713, 4605, 729, 3144, 286, 3657, 596, 5432, 609, 519, 29278, 3544, 540, 519, 6885, 538, 519, 4282, 2496, 1428, 269, 5463, 476, 1556, 267, 476, 1001, 275, 692, 2162, 7935, 5287, 306, 9567, 692, 7224, 1775, 798, 711, 917, 1141, 568, 602, 1747, 855, 1775, 7058, 621, 814, 513, 21850, 5357, 2207, 21764, 3845, 692, 1626, 269, 3967, 476, 280, 267, 476, 1001, 277, 692, 2162, 21280, 577, 639, 692, 2252, 596, 8263, 602, 519, 7828, 519, 4605, 729, 3144, 609, 568, 513, 865, 10777, 6094, 7828, 543, 1118, 519, 19406, 540, 6252, 12345, 4947, 689, 519, 4282, 630, 20357, 540, 519, 2484, 3845, 264, 972, 568, 513, 11315, 3070, 547, 707, 1966, 912, 263, 272, 264, 630, 304, 18025, 6661, 263, 336, 9706, 264, 630, 304, 284, 9418, 1843, 2450, 267, 623, 284, 341, 23709, 1843, 2450, 267, 7117, 284, 323, 2700, 1063, 1843, 543, 7828, 267, 533, 284, 323, 2700, 1063, 3239, 543, 7828, 994, 263, 273, 264, 630, 272, 11721, 6661, 263, 272, 9706, 11924, 263, 272, 270, 336, 264, 630, 325, 284, 325, 5914, 3259, 994, 23382, 1588, 540, 630, 272, 264, 543, 630, 273, 2567, 630, 272, 11721, 6661, 263, 272, 9706, 11924, 263, 303, 270, 304, 335, 264, 18092, 630, 335, 11721, 6661, 272, 23444, 303, 270, 304, 264, 18092, 630, 274, 264, 533, 284, 325, 23444, 303, 325, 270, 304, 994, 18744, 519, 8006, 667, 540, 519, 7828, 7182, 519, 2450, 540, 519, 796, 3333, 17369, 1630, 651, 327, 9634, 630, 20357, 535, 5991, 3784, 568, 535, 270, 272, 269, 275, 538, 1250, 9819, 1040, 634, 5111, 6252, 12345, 8108, 891, 9634, 3262, 936, 513, 2484, 3845, 630, 4818, 1563, 547, 519, 2450, 540, 519, 7828, 264, 1354, 789, 1205, 18195, 539, 676, 519, 7828, 267, 27721, 538, 519, 3239, 1448, 543, 6368, 6813, 519, 9634, 593, 519, 8523, 799, 723, 519, 8006, 546, 563, 763, 5223, 540, 667, 543, 535, 11224, 519, 5223, 540, 546, 543, 521, 32372, 335, 1922, 1496, 323, 2700, 1063, 3239, 1448, 543, 3239, 316, 2187, 263, 275, 264, 630, 291, 11721, 6661, 263, 323, 4882, 6661, 263, 323, 9706, 1922, 264, 18092, 667, 14352, 4206, 9706, 1922, 994, 32101, 540, 630, 274, 264, 5012, 547, 630, 276, 264, 667, 14352, 4206, 11721, 23444, 303, 325, 270, 304, 9984, 325, 6661, 263, 304, 323 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 292, 5894, 9278, 8745, 18882, 543, 12791, 454, 2252, 596, 2461, 3168, 585, 513, 2012, 609, 513, 3638, 1686, 543, 2620, 2495, 267, 4432, 529, 9278, 1522, 581, 519, 3501, 3903, 269, 901, 5929, 2012, 814, 5072, 538, 1896, 1114, 4654, 543, 4529, 267, 4758, 621, 513, 2189, 543, 3309, 4282, 269, 769, 713, 3296, 267, 649, 3580, 2263, 519, 8129, 543, 10096, 540, 519, 2012, 4432, 529, 9278, 267, 1519, 922, 12355, 5072, 267, 5259, 3310, 267, 543, 7648, 538, 1114, 4654, 563, 292, 5894, 9278, 814, 922, 5072, 538, 519, 12355, 2012, 4432, 529, 515, 9366, 267, 799, 1797, 968, 18661, 568, 1250, 522, 987, 892, 610, 968, 3240, 2696, 568, 11606, 1848, 901, 2012, 5526, 538, 519, 6196, 11620, 607, 519, 7385, 540, 26826, 267, 519, 7015, 540, 15584, 269, 4432, 529, 515, 9366, 729, 513, 15197, 543, 9565, 4137, 538, 6014, 1686, 267, 543, 1200, 2012, 814, 1044, 5293, 1524, 998, 5481, 563, 763, 2012, 4432, 529, 9278, 568, 513, 8390, 540, 4432, 529, 515, 9366, 267, 543, 621, 814, 1044, 1031, 538, 1082, 1114, 4529, 543, 4654, 269, 769, 12355, 267, 519, 2012, 568, 25250, 13913, 494, 402, 365, 403, 506, 402, 368, 27783, 358, 402, 370, 403, 479, 403, 495, 402, 371, 403, 351, 267, 543, 621, 568, 14733, 968, 12317, 6122, 324, 1606, 515, 327, 8686, 1695, 3034, 1103, 1840, 547, 922, 12355, 5072, 267, 4432, 529, 9278, 814, 849, 1044, 6766, 676, 5259, 2528, 269, 634, 5259, 4528, 540, 519, 2012, 568, 4432, 529, 1511, 339, 267, 799, 568, 6508, 689, 519, 12355, 4432, 529, 515, 9366, 269, 901, 2012, 729, 2442, 1242, 676, 12142, 4432, 529, 9278, 540, 21640, 267, 945, 729, 1634, 585, 1200, 26988, 1568, 543, 20174, 547, 2696, 563, 763, 5259, 4528, 540, 519, 2012, 814, 849, 1044, 1031, 538, 824, 4654, 267, 1519, 6739, 630, 312, 601, 714, 1511, 3279, 264, 543, 5053, 630, 3674, 8475, 1040, 769, 930, 2665, 267, 519, 2012, 814, 1044, 27571, 547, 4432, 21289, 610, 21861, 267, 4758, 621, 513, 811, 2413, 543, 13680, 1745, 563, 30547, 538, 7756, 19932, 454, 292, 5894, 9278, 814, 1044, 12261, 883, 1082, 1114, 4654, 267, 543, 1142, 4528, 814, 922, 1378, 2189, 2495, 543, 12332, 269, 3371, 616, 930, 1806, 912, 268, 4436, 281, 634, 4436, 4528, 540, 519, 2012, 568, 25250, 4432, 529, 9278, 267, 543, 621, 568, 14733, 968, 12317, 6122, 324, 268, 5633, 15515, 6255, 1848, 634, 2012, 1797, 968, 18661, 568, 1250, 522, 987, 892, 610, 968, 9482, 3022, 547, 2696, 3034, 268, 3943, 281, 769, 3943, 267, 519, 2012, 568, 25250, 27878, 5894, 9278, 267, 543, 621, 568, 14733, 968, 599, 6122, 324, 22271, 1695, 15515, 6255, 1848, 634, 2495, 568, 519, 1482, 607, 538, 4436, 563, 268, 5053, 281, 634, 5053, 4528, 540, 519, 2012, 568, 1772, 8475, 267, 799, 568, 6508, 689, 519, 5259, 4432, 529, 1511, 339, 269, 634, 2012, 1797, 968, 18661, 568, 1250, 522, 987, 892, 610, 968, 3240, 2696, 568, 11606, 3034, 268, 2296, 281, 769, 2296, 267, 519, 2012, 568, 25250, 10906, 267, 543, 621, 568, 14733, 968, 8811, 2000, 714, 268, 7795, 1532, 996, 1848, 634, 2495, 568, 519, 1482, 607, 538, 4436, 543, 3943, 563, 14454, 267, 4432, 529, 9278, 568, 513, 2012, 609, 513, 3638, 543, 9867, 1686, 267, 543, 621, 814, 1044, 5293, 1524, 998, 1082, 1114, 4529, 543, 4654, 269, 6787, 596, 3442, 547, 11963, 621, 609, 606, 968, 338, 892, 610, 513, 968, 345, 2223, 713, 5929, 2012, 568, 2386, 547, 1118, 513, 2178, 543, 6209, 12705, 563, 28082, 640, 540, 519, 8745, 4432, 529, 9278, 454, 2252, 596, 2461, 6236, 20803, 707, 4816, 8004, 4432, 529, 9278, 267, 596, 1522, 581, 11842, 875, 2442, 519, 2012, 568, 269, 769, 713, 3296, 267, 649, 3580, 1491, 513, 6251, 1413, 693, 519, 8560, 540, 519, 2012, 4432, 529, 9278, 538, 519, 2475, 543, 1472, 519, 1158, 563, 28082, 640, 538, 519, 2475, 454, 292, 5894, 9278, 814, 1044, 513, 2442, 2012, 538, 519, 2475, 585, 936, 513, 2540, 269, 4340, 547, 519, 4317, 8232, 10029, 267, 4432, 529, 9278, 729, 519, 476, 5392, 278, 628, 1034, 2442, 2012, 585, 4816, 6690, 538, 476, 1708, 273, 269, 2755, 602, 1522, 711, 3100, 899, 513, 1164, 20823, 267, 621, 779, 1271, 547, 4063, 602, 972, 616, 1082, 1114, 29745, 540, 519, 2012, 267, 1519, 10906, 267, 700, 714, 10106, 267, 543, 700, 9626, 267, 1851, 1866, 269, 1879, 596, 1491, 782, 540, 891, 29745, 883, 2272, 267, 519, 2012, 568, 1454, 811, 2442, 563, 1103, 1249, 267, 10906, 814, 1044, 835, 540, 519, 1034, 2442, 4408, 585, 4816, 6690, 538, 519, 2475, 585, 519, 2250, 2540, 269, 898, 729, 519, 476, 1015, 628, 1034, 2442, 2012, 2016, 547, 4816, 6690, 538, 519, 2475, 538, 476, 1220, 278, 543, 814, 1044, 1851, 519, 476, 1839, 1034, 2442, 4408, 2016, 547, 6690, 538, 519, 2475, 585, 519, 2250, 476, 1911, 1296, 269, 898, 568, 519, 1152, 2012, 602, 7283, 538, 519, 1283, 4557, 2475, 6690, 685, 4408, 1592, 689, 476, 4572, 276, 547, 476, 3192, 273, 563, 292, 5894, 9278, 568, 513, 2012, 602, 568, 2442, 1472, 519, 1158, 267, 3226, 538, 2342, 269, 898, 568, 513, 1455, 2012, 538, 2477, 899, 5333, 267, 5125, 267, 10255, 267, 543, 13785, 267, 1851, 1866, 269, 634, 2012, 814, 513, 1279, 1686, 543, 814, 1044, 1031, 676, 1082, 8037, 5515, 2429, 1686, 267, 1519, 10348, 10906, 594, 540, 4789, 543, 10906, 13177, 563, 14454, 267, 4432, 529, 9278, 568, 513, 5929, 543, 15851, 2012, 602, 814, 1044, 2442, 585, 5481, 269, 6787, 596, 3442, 547, 11963, 621, 609, 606, 968, 338, 892, 610, 513, 968, 345, 2223, 621, 779, 513, 2012, 602, 568, 2386, 547, 1796, 519, 1449, 540, 942, 563, 24868, 725, 540, 4432, 529, 9278, 454, 292, 5894, 9278, 568, 513, 5929, 2012, 602, 814, 1044, 1472, 585, 5553, 269, 1306, 971, 267, 621, 814, 1082, 7648, 602, 723, 2919, 936, 942, 269, 3371, 616, 930, 540, 519, 1034, 1455, 7648, 540, 519, 2012, 912, 268, 4432, 281, 901, 568, 513, 27571, 4528, 540, 4432, 529, 9278, 602, 568, 3006, 1031, 607, 513, 28215, 563, 268, 18379, 281, 6271, 28215, 4781, 267, 713, 835, 568, 513, 3787, 811, 2189, 563, 268, 4432, 21289, 281, 901, 8390, 814, 1831, 3833, 2442, 538, 2487, 1296, 267, 543, 568, 1419, 1031, 607, 513, 1796, 29671, 2012, 563, 268, 700, 714, 13624, 21289, 13624, 529, 281, 1452, 7648, 782, 6565, 689, 519, 1482, 3597, 267, 543, 616, 1419, 1031, 607, 12183, 12849, 585, 4432, 529, 9278, 563, 268, 21861, 281, 901, 568, 513, 5929, 8390, 540, 519, 2012, 602, 814, 1044, 1472, 585, 513, 1279, 942, 563, 268, 4432, 714, 2896, 20324, 564, 13624, 9626, 281, 1452, 7648, 782, 6565, 689, 519, 1482, 3597, 267, 543, 616, 1419, 1031, 607, 12183, 12849, 585, 4432, 529, 9278, 563, 268, 23436, 27582, 5894, 320, 281, 1452, 7648, 616, 513, 3787, 811, 2189, 267, 855, 1869, 723, 513, 5929, 1745, 547, 873, 563, 268, 1772, 8475, 281, 2755, 713, 2012, 568, 20248, 513, 8390, 540, 10906, 267, 621, 814, 1831, 2442, 2614, 547, 1796, 593, 922, 1378, 563, 268, 4432, 1047, 281, 901, 8390, 814, 1831, 3833, 2442, 538, 2487, 1296, 267, 543, 568, 1419, 1031, 607, 513, 1796, 29671, 2012, 563, 268, 661, 3149, 320, 281, 901, 568, 513, 2189, 8390, 540, 519, 2012, 602, 814, 1831, 811, 2442, 538, 2487, 1296, 563, 268, 11875, 320, 281, 901, 568, 1776, 2189, 8390, 602, 814, 1831, 3833, 2442, 538, 2487, 1296, 563, 268, 1772, 629, 7578, 281, 901, 568, 1776, 8390, 602, 814, 1831, 2442, 2614, 547, 1796, 593, 922, 1378, 563, 2026, 596, 666, 1294, 267, 972, 616, 1082, 7648, 540, 4432, 529, 9278, 547, 3442, 689, 269, 6787, 596, 4782, 513, 5929, 8390, 899, 21861, 610, 513, 811, 2189, 4781, 899, 661, 3149, 320, 267, 972, 568, 513, 8390, 540, 713, 15851, 2012, 602, 568, 3501, 585, 596, 563, 292, 5894, 9278, 538, 3778, 543, 9177, 454, 292, 5894, 9278, 538, 19978, 12745, 454, 292, 5894, 9278, 568, 513, 2012, 602, 814, 13400, 5072, 269, 898, 568, 6508, 689, 519, 12355, 2012, 4432, 529, 515, 9346, 267, 799, 1797, 968, 18661, 568, 1250, 522, 987, 1848, 769, 519, 1715, 11620, 267, 4432, 529, 9278, 729, 519, 7385, 540, 2098, 3663, 7559, 327, 543, 519, 3993, 540, 3627, 519, 23837, 269, 2701, 568, 1634, 585, 1373, 513, 22233, 543, 21705, 4807, 945, 729, 25552, 676, 2696, 609, 513, 1126, 538, 1200, 2025, 2085, 269, 4432, 529, 9278, 779, 1650, 568, 606, 1383, 540, 2696, 779, 1379, 547, 3142, 827, 28986, 543, 11886, 1010, 14767, 563, 292, 5894, 9278, 538, 8466, 12745, 454, 9961, 1686, 267, 972, 723, 1044, 1082, 8037, 5515, 3957, 4432, 529, 9278, 269, 2290, 540, 519, 1034, 4583, 568, 10348, 10906, 594, 540, 4789, 267, 945, 12199, 689, 476, 14028, 279, 547, 476, 8182, 274, 269, 2701, 568, 1634, 585, 1200, 2178, 5718, 267, 4987, 267, 543, 2797, 5260, 11803, 269, 6271, 8037, 4432, 529, 9278, 568, 519, 957, 816, 10906, 13177, 267, 945, 729, 1634, 585, 1200, 5898, 267, 13007, 267, 543, 19493, 960, 563, 292, 5894, 9278, 538, 15019, 9177, 454, 763, 2012, 4432, 529, 9278, 814, 1044, 12286, 538, 1082, 1568, 540, 2442, 2528, 269, 2290, 1383, 568, 519, 7574, 968, 763, 14675, 540, 8535, 2223, 538, 799, 519, 1292, 1915, 568, 3957, 12756, 13153, 3004, 653, 267, 855, 4422, 676, 519, 28215, 968, 299, 625, 331, 2223, 799, 568, 513, 11527, 5737, 1106, 540, 4432, 529, 9278, 269, 6271, 1383, 568, 519, 7641, 1397, 968, 763, 4892, 2223, 538, 799, 835, 540, 519, 1292, 3197, 568, 3957, 10906, 20388, 902, 563, 1103, 3932, 267, 4432, 529, 9278, 568, 513, 2012, 609, 513, 3638, 1686, 543, 2686, 4644, 269, 6787, 596, 616, 3168, 585, 513, 13400, 2012, 609, 5289, 2495, 267, 513, 1036, 531, 2012, 609, 10424, 25664, 725, 267, 610, 513, 2012, 609, 1402, 2528, 8100, 267, 4432, 529, 9278, 568, 513, 11684, 3903, 602, 568, 2386, 547, 1796, 519, 1449, 540, 942, 563, 23389, 21478, 593, 4432, 529, 9278, 454, 292, 5894, 9278, 568, 513, 2012, 609, 4436, 8129, 267, 543, 607, 971, 267, 621, 814, 1044, 8185, 6766, 676, 519, 4436, 1893, 543, 2528, 269, 769, 4436, 267, 519, 2012, 568, 25250, 4432, 529, 9278, 267, 543, 621, 568, 14733, 552, 327, 268, 4041, 292, 268, 5633, 15515, 6255, 269, 4436, 3310, 593, 519, 2012, 666, 581, 2938, 538, 1896, 2081, 267, 1519, 922, 10259, 267, 12332, 267, 543, 8560, 563, 3080, 540, 519, 1034, 1713, 2081, 538, 799, 4436, 814, 6766, 519, 2012, 4432, 529, 9278, 568, 998, 922, 10259, 269, 634, 4436, 10259, 540, 519, 2012, 568, 519, 1034, 1455, 10259, 5001, 267, 543, 621, 568, 849, 519, 3312, 10259, 540, 519, 2012, 269, 634, 10259, 540, 4432, 529, 9278, 568, 849, 14436, 540, 519, 4436, 1893, 779, 946, 540, 519, 4484, 968, 338, 892, 3079, 540, 968, 345, 892, 538, 1978, 1913, 563, 763, 12332, 540, 4432, 529, 9278, 568, 849, 8185, 6766, 676, 519, 4436, 1893, 269, 634, 4436, 12332, 540, 519, 2012, 568, 811, 8937, 339, 1116, 543, 11363, 519, 968, 12317, 892, 3280, 693, 519, 4098, 540, 519, 2012, 269, 901, 12332, 568, 1114, 689, 519, 2296, 12332, 267, 799, 11363, 519, 968, 2993, 892, 3280, 538, 519, 2012, 563, 292, 5894, 9278, 779, 8560, 538, 4436, 18702, 2477, 568, 1776, 1259, 538, 799, 4436, 814, 6766, 519, 2012, 269, 769, 5125, 267, 4432, 529, 9278, 568, 513, 2442, 2012, 267, 543, 621, 814, 1044, 538, 946, 585, 5553, 269, 634, 2012, 814, 849, 1044, 2442, 538, 15212, 267, 16848, 267, 543, 824, 4436, 18702, 4525, 563, 1103, 3932, 267, 519, 4436, 1893, 543, 2528, 723, 1185, 513, 1713, 1764, 593, 519, 2012, 4432, 529, 9278, 269, 634, 10259, 267, 12332, 267, 543, 8560, 540, 519, 2012, 616, 782, 14436, 540, 713, 3310, 269, 6787, 596, 616, 540, 4436, 16350, 610, 3274, 5660, 519, 1893, 543, 2528, 267, 519, 2012, 4432, 529, 9278, 568, 513, 4190, 543, 15851, 3903, 269, 0, 22033, 2029, 630, 3951, 264, 568, 851, 540, 1169, 2460, 540, 2413, 1272, 269, 24021, 4066, 971, 607, 1164, 18286, 5985, 13033, 543, 5100, 4872, 9153, 602, 2166, 1499, 10628, 786, 3136, 547, 2709, 11108, 2640, 547, 2486, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7943, 267, 3665, 5210, 267, 610, 1164, 11195, 267, 607, 891, 2175, 666, 31358, 519, 6007, 543, 2014, 2773, 2152, 563, 268, 8838, 2711, 18323, 281, 19077, 1756, 23760, 9075, 262, 1034, 6325, 4859, 2837, 568, 1472, 476, 736, 9180, 547, 476, 1839, 9180, 269, 898, 568, 849, 15695, 547, 2057, 13936, 519, 9075, 538, 4025, 609, 5210, 23630, 476, 2568, 9180, 630, 9610, 13790, 1916, 268, 3680, 19045, 13555, 281, 5901, 16864, 23760, 9075, 2476, 689, 4496, 3615, 899, 11113, 267, 10569, 267, 610, 824, 9075, 269, 19045, 3346, 666, 1291, 547, 2110, 2275, 1844, 340, 1746, 543, 10460, 3106, 10898, 563, 268, 6744, 11270, 1227, 281, 1403, 596, 1544, 547, 4558, 519, 6007, 585, 606, 6905, 1974, 267, 2638, 621, 1169, 1906, 3275, 547, 2327, 621, 18387, 1405, 3648, 26809, 269, 1234, 8408, 519, 6007, 952, 922, 5279, 12772, 2630, 476, 2004, 18336, 268, 2422, 519, 13583, 25033, 781, 32505, 281, 11408, 1246, 519, 10672, 781, 4808, 543, 7840, 585, 4859, 267, 607, 789, 949, 723, 1808, 5528, 585, 741, 1880, 6007, 3631, 563, 3963, 8838, 585, 544, 20175, 888, 332, 20175, 6763, 856, 607, 513, 30856, 16864, 23760, 20473, 6007, 10672, 1759, 538, 3127, 269, 11412, 21077, 585, 938, 26772, 10727, 543, 5969, 12967, 2029, 267, 649, 11348, 6000, 593, 5356, 1283, 17263, 16864, 23760, 9075, 602, 20546, 2872, 4441, 269, 2060, 938, 11826, 5663, 3157, 543, 11428, 547, 2298, 267, 596, 666, 3972, 602, 938, 9075, 616, 540, 519, 5207, 1608, 9200, 563, 1103, 519, 7706, 540, 6694, 19025, 267, 938, 16864, 23760, 9075, 856, 704, 13257, 519, 2139, 9149, 22437, 5973, 757, 267, 7175, 873, 547, 10936, 811, 13688, 7561, 269, 14755, 741, 11108, 2773, 267, 938, 9075, 616, 2966, 547, 581, 1648, 18026, 543, 2709, 9657, 540, 1031, 9075, 547, 5561, 267, 1818, 873, 513, 811, 13476, 7874, 4244, 547, 2757, 9149, 22437, 9075, 563, 299, 603, 1756, 23760, 9075, 616, 2442, 585, 20473, 3156, 1813, 547, 741, 1164, 26024, 7207, 269, 12846, 267, 789, 2154, 6297, 7829, 547, 2327, 3106, 269, 1635, 1739, 519, 12123, 543, 4859, 4808, 5018, 538, 713, 5816, 267, 596, 666, 8831, 707, 20473, 9075, 262, 14438, 543, 2061, 1022, 1761, 10898, 563, 29490, 946, 9758, 5056, 619, 543, 3595, 16513, 11149, 1282, 12123, 543, 4859, 269, 5457, 547, 4558, 707, 9075, 693, 519, 2953, 2837, 267, 2638, 519, 6453, 5781, 267, 543, 26565, 540, 9108, 543, 19100, 547, 6691, 619, 1310, 946, 269, 17949, 2922, 543, 3608, 20473, 10760, 609, 13804, 760, 1077, 16370, 256, 0, 26261, 676, 717, 1014, 14269, 1642, 645, 574, 2692, 267, 12253, 25661, 17144, 2871, 6359, 334, 543, 10507, 704, 24521, 19923, 523, 8619, 717, 6759, 1889, 345, 563, 4537, 12686, 519, 8892, 540, 6052, 17392, 563, 27319, 21870, 723, 7153, 607, 835, 540, 519, 1883, 4066, 22338, 519, 1259, 2509, 519, 3804, 540, 8236, 2121, 25179, 5434, 676, 476, 13078, 271, 267, 4730, 513, 4105, 1909, 538, 8383, 908, 519, 11385, 908, 2470, 540, 7791, 1648, 5108, 272, 269, 1717, 267, 1247, 9621, 538, 2474, 540, 1648, 2359, 543, 4398, 267, 5100, 21870, 3068, 1713, 2591, 950, 621, 2501, 547, 25382, 273, 269, 634, 6988, 540, 10128, 1585, 3334, 543, 4066, 883, 513, 23887, 1062, 568, 606, 2479, 21212, 1966, 607, 519, 2450, 540, 891, 5121, 4679, 269, 12829, 21870, 7048, 593, 513, 5318, 3060, 540, 8596, 267, 2792, 5989, 267, 1239, 2359, 1949, 267, 543, 1852, 6127, 267, 855, 25640, 543, 15222, 1944, 891, 2609, 693, 513, 1804, 4336, 666, 581, 3810, 6946, 543, 942, 21791, 269, 5047, 267, 519, 22406, 4320, 540, 1239, 6383, 676, 5100, 21870, 13514, 513, 1713, 4161, 676, 3294, 274, 269, 1306, 519, 1297, 540, 4448, 3457, 543, 1648, 5294, 28366, 4679, 267, 519, 2179, 540, 1239, 547, 581, 9268, 543, 9916, 9428, 28354, 267, 8506, 7347, 12985, 2200, 543, 3608, 1239, 2359, 2553, 563, 293, 9430, 547, 2232, 25382, 2152, 538, 5100, 21870, 666, 723, 2484, 23568, 4539, 267, 1373, 519, 8833, 593, 4540, 5989, 835, 540, 519, 1034, 7525, 269, 1403, 519, 7470, 3112, 7561, 6023, 519, 3395, 3747, 543, 1239, 4452, 267, 621, 949, 1267, 538, 3060, 20316, 267, 4389, 2773, 267, 543, 1256, 14286, 610, 856, 1137, 269, 901, 1223, 1291, 547, 3028, 21463, 267, 7133, 711, 1152, 519, 10727, 540, 519, 1648, 3761, 855, 849, 2565, 2533, 8200, 593, 5201, 267, 971, 607, 3782, 543, 6283, 269, 3958, 267, 25382, 2152, 666, 17225, 519, 5610, 540, 7791, 1648, 2959, 267, 2094, 5100, 21870, 1404, 513, 4105, 1909, 538, 8383, 908, 519, 11385, 908, 2470, 540, 7791, 1648, 5108, 269, 9453, 513, 27249, 5100, 7470, 5989, 267, 519, 2500, 5610, 543, 2359, 540, 7791, 1648, 2200, 1831, 4101, 267, 791, 5338, 519, 5912, 547, 513, 4264, 1648, 2104, 269, 11086, 267, 519, 4539, 540, 711, 3384, 27249, 5100, 21870, 1223, 24183, 519, 1761, 2640, 540, 713, 2029, 543, 17225, 519, 11938, 540, 1648, 1949, 563, 23797, 636, 7384, 6585, 1761, 547, 2232, 891, 25382, 2152, 676, 5356, 8476, 12985, 1379, 543, 7207, 269, 2755, 713, 2029, 568, 1869, 538, 922, 2038, 5933, 540, 1646, 267, 922, 1646, 3091, 9621, 3435, 547, 519, 1950, 2591, 540, 18440, 909, 5100, 7470, 1102, 2858, 23461, 269, 3245, 7470, 2359, 547, 8476, 3354, 267, 7061, 7384, 19674, 607, 513, 1761, 3014, 1680, 518, 538, 519, 1646, 540, 5100, 7470, 4066, 563, 23797, 636, 7384, 666, 5512, 811, 3608, 11938, 6620, 267, 3850, 585, 519, 6099, 20319, 543, 7006, 2255, 540, 5201, 5108, 267, 4452, 13326, 267, 543, 4199, 14305, 269, 10241, 971, 607, 6751, 308, 13307, 275, 267, 1770, 7029, 276, 610, 9744, 4087, 22433, 6327, 277, 267, 616, 1851, 519, 1101, 4397, 547, 581, 9619, 676, 7061, 3457, 269, 1306, 713, 2029, 27372, 267, 621, 786, 849, 581, 2111, 547, 4194, 811, 1950, 2152, 538, 1379, 2095, 278, 543, 23644, 2079, 279, 267, 10893, 1648, 3653, 543, 7393, 1062, 2773, 563, 18814, 547, 519, 3395, 5666, 540, 1239, 3812, 676, 8596, 538, 5100, 21870, 267, 4466, 513, 1259, 547, 3986, 8106, 3684, 1565, 2409, 568, 16122, 547, 581, 2111, 547, 1118, 11236, 538, 2673, 547, 1483, 942, 269, 17747, 3684, 1565, 6620, 723, 519, 1761, 547, 6023, 543, 5659, 5318, 5666, 540, 1239, 6383, 676, 5100, 21870, 280, 267, 7393, 1239, 4393, 267, 4806, 6284, 267, 543, 31096, 7020, 267, 799, 1131, 5512, 5488, 543, 811, 4977, 3375, 6194, 269, 901, 666, 1291, 547, 811, 2500, 13337, 7020, 1015, 267, 811, 5730, 5201, 4452, 1556, 543, 3902, 1321, 20925, 543, 4824, 7470, 6617, 267, 6038, 7393, 519, 25382, 543, 10727, 540, 519, 7470, 563, 23797, 636, 7384, 666, 849, 3565, 547, 14304, 519, 3354, 540, 5100, 21870, 269, 17747, 14238, 2553, 267, 971, 607, 7061, 1883, 3892, 1691, 610, 7061, 1463, 2792, 1428, 267, 1683, 513, 3810, 5150, 1505, 585, 23142, 6213, 1239, 936, 2792, 5121, 269, 1306, 5100, 21870, 7048, 593, 5150, 543, 6325, 1239, 6771, 267, 7061, 14238, 666, 948, 11574, 14590, 6937, 543, 2149, 2565, 7470, 5989, 563, 8340, 519, 2407, 1957, 2630, 281, 23797, 636, 17270, 585, 12829, 6182, 1749, 6155, 665, 343, 15005, 0, 763, 2262, 968, 338, 20980, 1648, 892, 2356, 6257, 606, 1648, 4199, 602, 666, 581, 17468, 609, 856, 15723, 1154, 610, 3542, 5024, 519, 3730, 4199, 621, 1185, 1044, 19122, 689, 269, 6052, 6394, 4947, 689, 519, 1463, 3141, 1769, 267, 554, 273, 334, 543, 30089, 543, 7823, 25568, 616, 6093, 10357, 7888, 4025, 269, 24997, 1379, 568, 1360, 13561, 267, 10357, 7874, 1648, 267, 799, 666, 581, 11593, 2139, 609, 513, 1367, 28653, 2053, 7051, 267, 899, 3327, 8166, 2067, 2200, 899, 2842, 2095, 267, 3141, 12345, 267, 4764, 543, 6329, 543, 29500, 267, 543, 24232, 4222, 10664, 269, 24997, 1648, 814, 6266, 540, 2318, 3344, 585, 938, 2486, 267, 2901, 10464, 569, 543, 3235, 10999, 563, 2690, 1346, 945, 723, 1175, 827, 1022, 4145, 11341, 547, 1141, 676, 538, 1840, 547, 519, 1259, 547, 946, 4179, 2517, 6635, 322, 24479, 1723, 2593, 32551, 596, 616, 2111, 547, 552, 13875, 721, 538, 938, 1357, 2985, 563, 16449, 519, 1101, 3688, 1004, 1451, 827, 7791, 1379, 2200, 267, 1519, 3859, 1648, 543, 2842, 2095, 1648, 267, 568, 2731, 1317, 789, 1522, 581, 12150, 3681, 585, 2702, 269, 1306, 606, 1383, 267, 952, 596, 4020, 513, 3859, 13324, 1648, 1184, 543, 1694, 1524, 585, 476, 275, 1296, 267, 1287, 1205, 3323, 16276, 543, 3706, 1944, 519, 12588, 267, 596, 786, 581, 2944, 585, 476, 273, 1296, 540, 707, 1272, 269, 1879, 596, 5635, 713, 547, 19254, 543, 4620, 1503, 267, 543, 6046, 2371, 543, 5810, 267, 621, 666, 581, 6654, 602, 3384, 513, 3859, 1648, 1332, 585, 513, 1507, 6712, 540, 707, 5122, 1648, 2085, 1895, 568, 711, 8806, 811, 2186, 547, 519, 1604, 267, 855, 1454, 811, 17215, 15164, 269, 634, 1249, 602, 596, 723, 4642, 14107, 547, 581, 7255, 827, 5932, 8799, 543, 2973, 1379, 811, 24886, 585, 1082, 17053, 5561, 563, 27662, 4222, 849, 11081, 938, 13829, 593, 18246, 2599, 3282, 267, 543, 1447, 839, 938, 16126, 2390, 13113, 3044, 10173, 269, 6348, 3146, 2908, 762, 10173, 267, 585, 1383, 5755, 543, 4620, 1503, 267, 616, 9833, 607, 13113, 267, 3274, 1317, 649, 723, 1044, 9846, 8781, 1055, 873, 547, 519, 519, 4541, 693, 606, 3395, 3432, 269, 4475, 649, 616, 2469, 547, 2196, 856, 513, 1247, 267, 543, 2822, 2299, 786, 15983, 9552, 519, 1604, 267, 543, 1267, 538, 2916, 1689, 269, 3509, 1114, 2010, 540, 2312, 25525, 666, 581, 1336, 269, 6489, 18434, 1711, 1648, 799, 789, 666, 946, 2059, 609, 3859, 1648, 8440, 547, 24390, 707, 1379, 12375, 267, 1256, 1498, 4758, 596, 8499, 2973, 1379, 693, 519, 1482, 942, 269, 898, 6087, 596, 547, 3251, 2312, 540, 585, 6362, 936, 3327, 8166, 5434, 3928, 269, 2334, 779, 6915, 30669, 786, 849, 581, 4742, 811, 2442, 607, 8799, 543, 2973, 1648, 2959, 563, 5194, 5413, 540, 2973, 909, 25525, 269, 1452, 10997, 616, 2322, 593, 1034, 2199, 885, 267, 799, 723, 547, 723, 513, 519, 11953, 5934, 4320, 540, 3327, 12998, 6175, 269, 1452, 2010, 540, 10997, 616, 6394, 676, 3167, 13324, 4213, 950, 1210, 1648, 267, 865, 2348, 547, 2628, 873, 666, 5963, 512, 958, 909, 609, 942, 269, 1635, 1818, 707, 8799, 543, 2973, 21755, 267, 596, 616, 2111, 547, 27464, 2312, 540, 585, 6362, 936, 930, 540, 891, 12375, 267, 6721, 2312, 1648, 513, 1390, 4308, 811, 22237, 563, 4407, 2973, 25525, 1223, 4688, 596, 6666, 267, 972, 616, 1896, 931, 547, 621, 1932, 269, 898, 1522, 711, 581, 15164, 602, 596, 1058, 1118, 707, 1378, 2123, 1184, 269, 2334, 779, 835, 540, 1346, 269, 2755, 30089, 543, 3859, 1379, 1223, 581, 2322, 538, 1747, 538, 519, 1753, 267, 891, 2409, 616, 2352, 543, 15210, 547, 2322, 883, 2962, 269, 8490, 707, 1367, 4244, 1648, 4480, 666, 581, 3833, 1164, 1790, 878, 539, 267, 7432, 621, 883, 791, 24411, 585, 1082, 1004, 269, 1452, 782, 5991, 1823, 4025, 2285, 1055, 7899, 540, 14107, 883, 519, 10450, 267, 593, 519, 824, 1688, 563, 1103, 1840, 972, 616, 513, 3099, 540, 3039, 2591, 547, 1210, 8799, 543, 2973, 4222, 269, 1452, 2959, 3132, 14107, 538, 547, 519, 5135, 267, 543, 15904, 909, 1970, 25984, 2645, 269, 634, 13674, 540, 3044, 10173, 585, 2702, 2115, 568, 4440, 519, 1292, 20334, 547, 2916, 1689, 269, 28981, 1524, 593, 519, 6165, 540, 8093, 10173, 1131, 948, 2569, 519, 2179, 540, 2011, 5533, 1282, 519, 5790, 267, 1927, 609, 519, 10171, 540, 14432, 2518, 8337, 563, 4913, 267, 2312, 2959, 540, 1648, 4125, 930, 1434, 519, 2825, 12587, 11338, 269, 2368, 4966, 3494, 2312, 1648, 949, 948, 2569, 3432, 610, 24044, 519, 2942, 5222, 540, 2916, 1689, 269, 6489, 4222, 666, 6175, 5906, 3039, 2777, 6757, 9362, 267, 543, 1118, 2067, 4960, 547, 1587, 15335, 5122, 13821, 269, 9891, 1648, 568, 519, 835, 824, 5542, 585, 10820, 602, 1810, 1406, 1616, 547, 1902, 538, 1007, 267, 3810, 1790, 878, 539, 5122, 1379, 2200, 269, 4107, 540, 891, 2553, 1810, 1406, 12520, 13802, 547, 519, 4195, 2011, 267, 865, 602, 789, 1683, 513, 3070, 2707, 540, 4222, 563, 1103, 1249, 2973, 1379, 814, 930, 17386, 8733, 814, 606, 1198, 593, 269, 5272, 7853, 568, 3222, 540, 891, 2360, 267, 855, 4195, 1648, 2959, 723, 711, 11613, 2808, 519, 27464, 3330, 519, 4264, 1648, 2872, 269, 20010, 1648, 7426, 616, 3533, 4742, 811, 2442 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 21920, 476, 274, 281, 3953, 2020, 30860, 519, 6824, 1101, 269, 11109, 835, 1599, 1657, 1776, 1058, 1118, 596, 19035, 602, 519, 7533, 949, 3132, 513, 30233, 269, 1879, 596, 1449, 713, 676, 4466, 519, 12045, 540, 519, 14009, 267, 596, 786, 1265, 602, 621, 5702, 20998, 519, 19362, 269, 1284, 4188, 519, 3586, 630, 1723, 324, 2310, 264, 543, 11753, 269, 1703, 568, 1100, 991, 547, 946, 519, 6207, 1871, 1129, 3330, 519, 30233, 1317, 1535, 11054, 266, 275, 666, 2760, 581, 2942, 952, 1535, 568, 513, 1483, 1297, 780, 258, 16573, 3980, 360, 343, 270, 18414, 263, 343, 11054, 266, 275, 1040, 11459, 630, 21920, 476, 274, 281, 4375, 2020, 2791, 786, 5469, 602, 519, 1599, 12617, 538, 519, 14009, 267, 630, 343, 11054, 266, 275, 1070, 814, 513, 12045, 540, 476, 273, 343, 267, 799, 568, 1360, 2147, 547, 519, 19362, 267, 1535, 269, 901, 9244, 5267, 513, 5832, 4341, 4806, 543, 602, 568, 4010, 519, 4806, 602, 594, 11654, 538, 10442, 713, 7533, 269, 594, 4318, 269, 594, 2119, 547, 1711, 519, 2497, 562, 8807, 21948, 343, 1040, 314, 325, 3287, 13580, 22677, 333, 268, 272, 264, 1369, 519, 7533, 865, 602, 519, 7533, 786, 581, 1496, 325, 3287, 13580, 317, 333, 780, 258, 19740, 3980, 360, 263, 276, 343, 266, 273, 19422, 343, 11054, 268, 275, 1040, 11459, 630, 21920, 476, 1015, 281, 2412, 2020, 1607, 3791, 7533, 538, 13343, 4856, 821, 657, 262, 476, 1911, 6715, 23552, 1592, 3340, 519, 946, 540, 9864, 8454, 780, 10303, 519, 12045, 540, 1535, 11054, 268, 275, 568, 476, 273, 343, 267, 649, 991, 547, 20586, 519, 476, 276, 343, 538, 519, 19362, 269, 901, 1797, 602, 649, 5094, 519, 7533, 883, 3980, 360, 276, 343, 14370, 343, 11054, 268, 275, 1040, 11459, 1341, 3980, 360, 273, 14370, 343, 11054, 268, 275, 1040, 11459, 269, 634, 1101, 7533, 7472, 519, 32568, 1599, 602, 649, 2503, 269, 634, 2034, 7533, 666, 581, 17251, 1210, 9864, 8454, 269, 901, 7472, 1079, 811, 32568, 3252, 269, 2353, 1614, 32568, 3252, 666, 581, 5916, 267, 543, 519, 1267, 16866, 267, 1210, 32568, 4031, 780, 258, 21916, 3980, 360, 7562, 343, 269, 6523, 23326, 343, 6155, 343, 630, 21920, 476, 273, 281, 6795, 2020, 297, 574, 4856, 821, 657, 262, 8772, 7533, 568, 11117, 1360, 3533, 8197, 256, 589, 2656, 14791, 2982, 602, 621, 598, 13257, 1360, 5702, 547, 519, 5832, 4341, 4806, 269, 2991, 513, 5634, 16369, 540, 14170, 267, 519, 7533, 568, 1336, 538, 7643, 780, 258, 22650, 3980, 360, 7562, 343, 269, 5913, 23326, 343, 6155, 343, 630, 21920, 476, 276, 281, 1704, 2020, 1607, 11359, 1966, 689, 13343, 4856, 821, 657, 262, 476, 1911, 6715, 23552, 1592, 568, 547, 6218, 3980, 360, 7562, 343, 269, 5913, 23326, 343, 6155, 343, 692, 2171, 1101, 21028, 602, 910, 7562, 343, 568, 519, 12045, 540, 5430, 343, 267, 543, 602, 3813, 23326, 343, 815, 5430, 391, 487, 23326, 343, 269, 901, 1797, 602, 713, 7533, 786, 1152, 991, 5634, 11941, 547, 14883, 547, 519, 5832, 4341, 4806, 602, 649, 1131, 2328, 607, 562, 8807, 21948, 343, 1040, 314, 325, 3287, 13580, 22677, 333, 268, 272, 2020, 28403, 2358, 713, 2636, 721, 547, 6218, 713, 7533, 1360, 6385, 630, 517, 576, 649, 723, 10736, 519, 3813, 23326, 343, 547, 5430, 391, 487, 23326, 343, 6393, 258, 24879, 3980, 360, 6523, 11054, 3287, 270, 273, 1040, 11459, 630, 21920, 476, 274, 281, 3451, 2020, 2171, 1631, 2232, 519, 15795, 7533, 689, 13343, 4856, 821, 657, 262, 1592, 540, 476, 1911, 6715, 23552, 269, 769, 713, 2013, 621, 568, 3980, 360, 6523, 11054, 3287, 270, 273, 1040, 11459, 692, 1607, 7533, 630, 1993, 519, 25482, 16302, 540, 513, 3368, 5086, 264, 5654, 2352, 547, 6218, 2394, 596, 29311, 602, 649, 723, 1079, 9163, 602, 2446, 5430, 11054, 343, 269, 1358, 616, 1384, 22461, 5609, 11054, 343, 1341, 5430, 11054, 343, 9881, 350, 476, 272, 692, 22461, 5430, 273, 343, 9881, 350, 5430, 11054, 343, 910, 5609, 11054, 343, 692, 23382, 1456, 519, 1079, 3947, 721, 5430, 343, 9881, 350, 476, 273, 6523, 11054, 3287, 270, 273, 264, 910, 476, 272, 543, 267, 4061, 267, 5430, 11054, 3287, 270, 273, 264, 9881, 350, 630, 6523, 343, 1341, 476, 272, 8358, 273, 267, 513, 1454, 4443, 4082, 547, 11753, 256, 13772, 621, 782, 11200, 538, 713, 3381, 780, 258, 23669, 3980, 360, 343, 4732, 514, 343, 6155, 343, 630, 21920, 476, 273, 281, 5325, 2020, 2171, 1631, 7237, 519, 18749, 7533, 538, 13343, 4856, 821, 657, 262, 1592, 540, 476, 1911, 6715, 23552, 269, 634, 7533, 538, 2243, 568, 3980, 360, 343, 4732, 514, 343, 6155, 343, 692, 10303, 621, 3568, 519, 1587, 540, 1079, 3833, 2241, 3252, 267, 649, 786, 946, 5610, 676, 2694, 269, 1284, 1747, 519, 811, 7294, 1599, 1369, 519, 12045, 267, 865, 3980, 360, 343, 4732, 514, 343, 6155, 343, 3587, 910, 4501, 360, 343, 6155, 6262, 657, 343, 1040, 23889, 676, 2694, 3947, 721, 910, 343, 269, 6523, 343, 1341, 3980, 360, 6523, 343, 6155, 343, 543, 519, 1964, 568, 2653, 2439, 258, 25484, 3980, 360, 343, 269, 5913, 11054, 273, 343, 6155, 343, 630, 21920, 476, 276, 281, 2420, 2020, 297, 574, 20840, 3996, 262, 21632, 7533, 849, 1412, 331, 1742, 3294, 262, 547, 5610, 676, 2694, 780, 2791, 786, 5469, 602, 3980, 360, 343, 269, 5913, 11054, 273, 343, 6155, 343, 3568, 1175, 1079, 3252, 3267, 513, 2241, 1412, 343, 262, 543, 513, 3813, 656, 1606, 32464, 269, 5589, 16226, 602, 3813, 11054, 343, 568, 519, 12045, 540, 16009, 343, 267, 649, 666, 4061, 6460, 713, 7533, 883, 476, 16006, 4501, 360, 343, 6155, 6025, 534, 273, 343, 1040, 634, 1964, 5205, 9425, 3362, 630, 604, 596, 723, 1044, 5189, 547, 713, 2186, 540, 5610, 6393, 258, 27947, 3980, 360, 11927, 587, 378, 382, 373, 273, 343, 6155, 343, 630, 21920, 476, 274, 281, 7906, 2020, 9616, 602, 713, 7533, 568, 2907, 538, 519, 1106, 3980, 360, 340, 6155, 341, 630, 663, 649, 917, 875, 547, 5173, 519, 12045, 540, 11201, 8126, 757, 1070, 865, 649, 946, 5610, 676, 2694, 547, 1205, 3980, 360, 11927, 391, 487, 382, 373, 273, 343, 6155, 343, 815, 1535, 6745, 534, 391, 487, 382, 373, 273, 343, 910, 3980, 360, 343, 6155, 6025, 534, 391, 487, 382, 373, 273, 343, 264, 815, 1535, 6745, 534, 391, 487, 382, 373, 273, 343, 910, 3980, 360, 343, 269, 273, 14370, 275, 343, 11054, 1341, 476, 272, 1040, 11459, 692, 763, 1964, 267, 3177, 596, 917, 707, 29398, 267, 568, 5266, 2653, 780, 258, 18089, 3980, 360, 343, 23326, 14370, 343, 11054, 1341, 476, 272, 1040, 11459, 630, 21920, 476, 275, 281, 4366, 2020, 2171, 616, 1818, 3356, 256, 4595, 713, 3381, 568, 519, 20870, 540, 519, 3126, 267, 621, 1797, 649, 616, 827, 476, 1015, 260, 540, 519, 1259, 998, 13343, 4856, 821, 657, 262, 476, 1911, 6715, 23552, 5903, 630, 16341, 540, 519, 2663, 3283, 616, 513, 3787, 3476, 267, 865, 649, 616, 2965, 711, 3833, 972, 256, 6393, 297, 574, 781, 20870, 1966, 729, 547, 6218, 3980, 360, 343, 23326, 14370, 343, 11054, 1341, 476, 272, 1040, 11459, 692, 29909, 14678, 267, 596, 786, 29311, 602, 649, 723, 513, 6824, 267, 543, 602, 519, 1079, 3252, 616, 1312, 21335, 269, 16474, 757, 1310, 602, 267, 596, 1131, 5469, 602, 519, 1931, 540, 519, 19362, 568, 2362, 982, 602, 540, 519, 14009, 269, 901, 1797, 602, 938, 1101, 2962, 786, 581, 547, 7941, 519, 3252, 269, 1703, 616, 513, 1297, 540, 2081, 540, 3257, 713, 630, 14075, 6498, 267, 10991, 6498, 267, 1210, 4949, 1341, 536, 543, 21800, 4834, 267, 14791, 267, 3092, 13776, 855, 519, 1267, 786, 581, 3980, 360, 343, 23326, 14370, 343, 11054, 1341, 476, 272, 1040, 11459, 815, 3980, 360, 343, 6155, 343, 910, 3980, 360, 343, 14370, 343, 11054, 1341, 476, 272, 1040, 11459, 634, 1101, 7533, 568, 1605, 5443, 776, 270, 13700, 20190, 543, 7472, 1535, 11054, 270, 273, 269, 634, 2034, 7533, 7472, 513, 30233, 267, 910, 16006, 15238, 3287, 11054, 1341, 476, 272, 1040, 1496, 9616, 602, 649, 798, 711, 723, 547, 946, 519, 6207, 1871, 1129, 3330, 519, 30233, 2094, 1535, 11054, 1341, 476, 272, 568, 2141, 2318, 269, 6540, 10673, 1405, 7340, 519, 3586, 2439, 258, 18733, 3980, 360, 343, 270, 18950, 343, 266, 275, 7565, 343, 266, 273, 14587, 269, 11459, 630, 21920, 476, 276, 281, 2641, 2020, 2171, 723, 6603, 7533, 1297, 22221, 3267, 543, 713, 835, 3340, 602, 649, 6218, 3980, 360, 343, 270, 27007, 343, 266, 275, 7565, 343, 266, 273, 264, 4940, 11459, 692, 10303, 519, 19362, 543, 14009, 616, 1312, 21335, 267, 543, 1317, 519, 19362, 814, 1931, 835, 1447, 982, 519, 14009, 267, 649, 2503, 630, 520, 2547, 264, 547, 1205, 513, 32568, 1599, 269, 901, 568, 1317, 519, 12045, 540, 513, 9971, 568, 540, 1931, 835, 1447, 982, 519, 3312, 1599, 865, 267, 649, 616, 2673, 547, 2348, 519, 4806, 535, 21948, 343, 8358, 325, 3287, 6393, 763, 1249, 602, 519, 14009, 568, 2907, 3815, 2213, 568, 513, 948, 1317, 649, 786, 5094, 519, 4082, 1210, 9864, 8454, 269, 4635, 627, 31295, 1505, 596, 4782, 267, 596, 786, 1265, 602, 3980, 360, 343, 270, 27007, 343, 266, 275, 7565, 343, 266, 273, 264, 4940, 11459, 815, 3980, 360, 273, 14370, 343, 266, 275, 1040, 11459, 910, 3980, 360, 272, 14370, 343, 266, 273, 1040, 11459, 901, 7472, 29375, 302, 32568, 3252, 799, 649, 949, 1287, 9192, 883, 835, 16517, 4082, 1210, 938, 32568, 4031, 780, 258, 23713, 3980, 360, 18950, 343, 266, 272, 7565, 343, 268, 272, 14587, 270, 18950, 343, 268, 273, 7565, 343, 268, 274, 14587, 269, 11459, 630, 21920, 476, 278, 281, 5881, 2020, 2171, 616, 4358, 547, 7237, 930, 2864, 811, 2352, 29398, 2907, 269, 634, 1000, 27097, 7533, 538, 13343, 4856, 821, 657, 262, 5903, 568, 3833, 18447, 547, 1413, 693, 281, 3980, 360, 27007, 343, 266, 272, 7565, 343, 268, 272, 13580, 270, 27007, 343, 268, 273, 7565, 343, 268, 274, 264, 4940, 11459, 692, 2252, 596, 1413, 811, 5702, 267, 2705, 267, 596, 786, 5469, 602, 1312, 519, 19362, 543, 14009, 616, 1395, 545, 13392, 7215, 269, 2334, 568, 267, 519, 14170, 540, 741, 1535, 11054, 2474, 616, 1312, 476, 272, 269, 1284, 4061, 1376, 676, 7900, 513, 6498, 269, 634, 14009, 17337, 883, 519, 19362, 2899, 267, 543, 519, 14230, 568, 513, 5276, 1599, 267, 476, 276, 343, 910, 476, 278, 269, 769, 713, 1259, 267, 938, 3312, 7533, 568, 1631, 9674, 883, 1079, 29398, 269, 634, 1101, 835, 568, 24735, 269, 634, 2034, 7533, 630, 1993, 630, 276, 343, 268, 278, 8358, 27007, 343, 268, 273, 7565, 343, 268, 274, 264, 8079, 568, 1447, 24735, 269, 5221, 519, 14009, 568, 3815, 2213, 267, 2705, 267, 649, 616, 2111, 547, 8207, 621, 1210, 9864, 8454, 269, 634, 1079, 7215, 602, 1267, 11753, 547, 2285, 1079, 32568, 7215, 799, 649, 666, 9192, 1210, 938, 32568, 4031, 780, 258, 25320, 3980, 360, 263, 273, 343, 268, 272, 19422, 343, 11054, 266, 273, 343, 266, 274, 1040, 11459, 630, 21920, 476, 275, 281, 6021, 2020, 10303, 519, 19362, 814, 4110, 835, 1447, 982, 519, 14009, 267, 649, 2503, 513, 32568, 1599, 547, 581, 851, 540, 519, 3070, 269, 4746, 267, 1317, 519, 14009, 3112, 581, 3815, 2213, 630, 5976, 514, 519, 1483, 1297, 1062, 1070, 649, 3112, 946, 9864, 8454, 269, 4475, 267, 649, 30337, 519, 19362, 547, 1711, 1079, 5094, 7215, 270, 15759, 23552, 780, 763, 19362, 540, 519, 1101, 835, 786, 581, 519, 12045, 540, 519, 14009, 3267, 543, 519, 2034, 4082, 786, 2270, 519, 1412, 8145, 664, 1457, 9538, 634, 1101, 7533, 7472, 519, 30233, 602, 649, 4397, 269, 634, 2034, 7533, 267, 1310, 11264, 513, 4009, 267, 7472, 606, 11201, 17242, 1599, 780, 258, 26522, 3980, 360, 343, 23326, 14370, 273, 343, 268, 272, 1040, 11459, 630, 21920, 476, 276, 281, 2412, 2020, 26170, 1739, 519, 6249, 540, 13343, 4856, 821, 657, 262, 476, 1911, 6715, 23552, 267, 649, 1631, 2232, 519, 2185, 18818, 7533, 267, 3980, 360, 343, 23326, 14370, 273, 343, 268, 272, 1040, 11459, 780, 1103, 713, 2013, 267, 1317, 519, 19362, 568, 540, 513, 2362, 4110, 982, 519, 14009, 267, 543, 1312, 616, 21335, 267, 649, 1101, 4163, 856, 513, 6498, 269, 901, 7472, 513, 13392, 4082, 7132, 513, 3586, 630 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 534, 325, 629, 20891, 563, 1432, 1058, 581, 519, 8860, 2923, 15205, 4806, 538, 3440, 14200, 7868, 2754, 5631, 7472, 2947, 3126, 540, 2472, 11493, 3937, 267, 5070, 1818, 3937, 267, 7777, 4393, 3937, 267, 8860, 3937, 543, 9160, 2679, 2326, 3937, 267, 799, 616, 4922, 1031, 538, 12669, 21395, 267, 5599, 267, 3114, 2872, 267, 2679, 2326, 267, 5755, 267, 18195, 800, 2326, 267, 23907, 543, 824, 6080, 563, 300, 3739, 20619, 2881, 4958, 1984, 811, 4122, 5219, 547, 607, 8115, 1636, 15178, 17819, 6191, 7868, 32605, 666, 581, 13988, 538, 1082, 1114, 7158, 585, 513, 1360, 11684, 267, 952, 10169, 1447, 14461, 3684, 269, 21446, 894, 16166, 6993, 17819, 3684, 568, 1419, 1572, 513, 1984, 676, 2577, 514, 1235, 7868, 2895, 24191, 2165, 30885, 729, 4122, 1031, 538, 519, 476, 866, 628, 543, 2038, 476, 736, 628, 5553, 563, 309, 1068, 673, 1984, 585, 13504, 8860, 7868, 579, 325, 326, 1984, 568, 513, 3819, 989, 18469, 2923, 1984, 5078, 585, 6721, 32340, 538, 519, 2039, 540, 476, 2412, 8020, 6425, 1524, 547, 476, 272, 25050, 7868, 3049, 1570, 568, 3335, 2630, 476, 273, 6515, 543, 7509, 2630, 476, 272, 7868, 579, 325, 326, 1984, 568, 7363, 13234, 538, 6806, 5547, 8860, 609, 513, 563, 30761, 1984, 3440, 1984, 585, 9042, 1990, 523, 603, 332, 1571, 11065, 718, 1984, 568, 4922, 1031, 538, 519, 8869, 2504, 3515, 267, 971, 607, 9160, 267, 3623, 6510, 267, 18195, 800, 2326, 267, 3114, 13226, 267, 4837, 23907, 267, 3092, 2687, 547, 519, 991, 540, 5561, 267, 3440, 14200, 666, 8275, 1312, 6632, 543, 3819, 2504, 3440, 14200, 723, 1044, 2966, 538, 3044, 7306, 540, 519, 3803, 2472, 1063, 476, 23669, 275, 6515, 543, 476, 6860, 6515, 538, 8006, 563, 1103, 519, 2038, 476, 1960, 271, 338, 519, 15768, 3693, 1505, 1629, 729, 1031, 585, 519, 1101, 942, 547, 18082, 2923, 5163, 538, 512, 22824, 14200, 269, 7212, 621, 814, 1044, 936, 513, 10116, 540, 513, 2540, 2094, 713, 1907, 729, 563, 19770, 1286, 333, 2526, 1587, 17277, 543, 13472, 19266, 622, 4870, 23534, 1216, 267, 1141, 547, 4444, 1031, 911, 5404, 13238, 552, 321, 599, 4870, 23534, 9042, 267, 1031, 911, 5404, 13238, 552, 321, 599, 2228, 476, 1708, 271, 267, 649, 2709, 1031, 911, 5404, 13238, 552, 321, 599, 4870, 23534, 9042, 2228, 585, 2367, 2021, 3214, 9042, 1863, 11288, 1483, 2011, 3950, 585, 9042, 4558, 32586, 4013, 2011, 10177, 1188, 12051, 3896, 519, 1007, 1259, 540, 5026, 2073, 1515, 10177, 1188, 12051, 2228, 6300, 3728, 11288, 543, 2132, 1079, 563, 30761, 14200, 616, 1395, 569, 1031, 585, 11493, 543, 8860, 519, 2326, 883, 606, 5393, 5386, 1106, 519, 3440, 1984, 3568, 513, 17860, 20425, 7387, 602, 29226, 827, 922, 7852, 713, 12718, 568, 4904, 609, 11084, 602, 616, 1500, 540, 16243, 5374, 610, 12285, 547, 519, 1570, 8659, 538, 621, 3440, 14200, 5861, 1002, 1631, 1031, 3440, 14200, 585, 9042, 322, 2675, 2027, 563, 26364, 4193, 538, 3440, 14200, 9781, 543, 1184, 733, 549, 8160, 21671, 1031, 1852, 2994, 616, 9916, 543, 5941, 17161, 3440, 14200, 8860, 5547, 1184, 1852, 1775, 4367, 8860, 538, 3440, 14200, 568, 606, 1271, 6639, 1184, 4294, 547, 2569, 519, 2450, 540, 5536, 799, 949, 723, 1114, 2470, 543, 513, 2647, 4763, 540, 2168, 563, 12507, 569, 1031, 512, 22824, 14200, 7626, 13621, 19460, 6070, 6149, 524, 3306, 541, 2577, 514, 17819, 332, 22389, 2978, 1335, 22389, 804, 28310, 8860, 3684, 554, 335, 476, 6110, 8302, 5373, 5599, 1852, 1326, 3902, 8160, 650, 19112, 13030, 669, 21590, 1408, 6149, 13409, 8302, 9755, 538, 15242, 2529, 6647, 604, 1731, 14515, 15854, 554, 1173, 320, 8544, 514, 19854, 564, 8160, 20275, 710, 326, 3684, 8160, 3739, 332, 22389, 2978, 1335, 22389, 563, 12914, 476, 2767, 267, 476, 1001, 275, 4352, 23342, 4508, 528, 568, 2356, 2666, 676, 3440, 14200, 267, 1346, 616, 711, 2442, 585, 10217, 2527, 538, 519, 24067, 2872, 18562, 1346, 1949, 616, 1395, 569, 1031, 5001, 519, 2504, 568, 6806, 267, 799, 5849, 31978, 545, 4393, 543, 11151, 12526, 4853, 29173, 3440, 14200, 960, 11179, 24707, 811, 3877, 563, 12507, 569, 1031, 512, 22824, 14200, 5641, 534, 659, 8160, 21671, 1031, 512, 22824, 14200, 8160, 1571, 27590, 10415, 721, 1695, 727, 3068, 1504, 8160, 1571, 27590, 10415, 721, 320, 15836, 876, 556, 324, 1188, 678, 323, 5045, 22017, 544, 747, 10247, 476, 4366, 272, 4817, 3603, 476, 275, 269, 279, 1759, 593, 476, 4572, 8039, 865, 1775, 6743, 585, 513, 1279, 942, 585, 513, 2689, 1063, 14200, 269, 5952, 272, 10844, 5854, 2218, 18138, 6191, 512, 22824, 563, 24246, 543, 6133, 1031, 14200, 693, 943, 14535, 1460, 3937, 8160, 1571, 585, 9042, 943, 14535, 1460, 3937, 568, 513, 2518, 23138, 543, 22673, 540, 30694, 1031, 543, 11028, 1288, 539, 14200, 1519, 1140, 761, 528, 14200, 3440, 14200, 2458, 1355, 14200, 635, 1571, 6185, 564, 5661, 3440, 14200, 17783, 29993, 17783, 1446, 4308, 619, 538, 15242, 269, 0, 296, 576, 6411, 899, 513, 8825, 3382, 936, 519, 3047, 543, 938, 12084, 269, 769, 2487, 5756, 267, 4262, 4672, 538, 519, 11848, 7909, 814, 1044, 13621, 5488, 982, 3592, 782, 2916, 3631, 10567, 269, 4340, 547, 519, 5767, 1867, 676, 2475, 3744, 267, 4672, 538, 519, 11848, 7909, 24268, 922, 2034, 268, 869, 652, 1377, 593, 2594, 713, 4832, 267, 15427, 676, 2518, 8337, 2059, 609, 2067, 4229, 269, 634, 6708, 540, 519, 4672, 2275, 2642, 5836, 693, 519, 3345, 24504, 543, 14178, 2417, 5045, 547, 14522, 267, 4516, 267, 23529, 543, 6576, 6603, 922, 4832, 5503, 1970, 540, 476, 272, 269, 275, 2929, 4009, 5195, 538, 519, 2250, 1906, 2395, 269, 12207, 1867, 602, 8337, 538, 519, 11848, 24268, 519, 4672, 547, 2034, 268, 869, 652, 538, 476, 2412, 1296, 267, 2479, 2094, 9682, 5638, 3459, 269, 1809, 713, 1032, 779, 7771, 729, 3648, 5488, 267, 543, 3744, 6045, 538, 741, 1382, 519, 2601, 3297, 519, 4672, 538, 519, 11848, 7909, 695, 337, 633, 961, 539, 547, 922, 2034, 268, 869, 652, 6708, 563, 6635, 8157, 4262, 4672, 2356, 10301, 922, 1970, 1448, 538, 5181, 543, 621, 781, 1164, 538, 4728, 267, 1310, 519, 5162, 4005, 269, 19402, 713, 3923, 267, 1152, 2899, 538, 519, 2063, 476, 5655, 1296, 814, 3047, 779, 13792, 15693, 1698, 4988, 1447, 982, 2185, 2929, 4009, 21240, 269, 1306, 829, 2594, 267, 4262, 4672, 6708, 814, 21022, 476, 1691, 2600, 829, 8717, 936, 602, 1974, 269, 769, 1249, 267, 3173, 4080, 538, 7186, 8693, 7827, 538, 4864, 267, 476, 1708, 271, 267, 602, 519, 11848, 1223, 1294, 922, 1101, 4672, 6954, 4832, 607, 2038, 607, 476, 10711, 276, 269, 4516, 779, 7831, 27975, 569, 2271, 716, 10979, 17125, 325, 6601, 6545, 5510, 9603, 547, 8693, 7827, 563, 3963, 901, 5729, 779, 13207, 710, 12984, 1924, 16258, 888, 6635, 8157, 4262, 4672, 2356, 10301, 922, 1970, 1448, 538, 5181, 543, 621, 781, 1164, 538, 4728, 1310, 519, 5162, 269, 1809, 713, 1032, 779, 15835, 568, 2034, 1152, 547, 476, 1001, 273, 267, 950, 519, 4672, 695, 17213, 547, 476, 274, 269, 275, 2929, 4009, 21240, 267, 7074, 519, 2817, 16176, 543, 10979, 4578, 10418, 267, 799, 814, 1044, 5329, 519, 9682, 5638, 2094, 476, 3192, 280, 269, 1306, 829, 3173, 267, 713, 1032, 779, 7771, 729, 2523, 3728, 1063, 4864, 476, 4029, 543, 5181, 476, 276, 267, 1317, 540, 20512, 540, 3636, 2011, 689, 513, 3002, 24859, 538, 27584, 4997, 269, 634, 2557, 540, 4672, 2530, 1282, 1346, 3670, 2395, 729, 5488, 982, 1282, 1022, 824, 1032, 593, 2594, 269, 31301, 2137, 538, 519, 590, 9200, 1014, 11848, 941, 476, 279, 547, 476, 1015, 5232, 17622, 1657, 3339, 585, 1454, 540, 519, 1032, 563, 763, 2530, 540, 4262, 4672, 27938, 519, 4541, 269, 901, 1131, 581, 3983, 3377, 585, 8701, 12217, 267, 799, 616, 2907, 593, 513, 1350, 728, 2619, 2509, 14486, 269, 13809, 540, 4672, 849, 27938, 519, 3148, 779, 7286, 8134, 267, 689, 20239, 25762, 547, 16385, 563, 10527, 2338, 602, 649, 2811, 3478, 538, 2474, 540, 6708, 540, 4262, 4672, 6175, 1142, 1032, 2322, 721, 7168, 1454, 593, 2699, 10332, 538, 2474, 540, 519, 1377, 540, 5855, 602, 649, 723, 267, 938, 6161, 585, 519, 6617, 540, 713, 1604, 2223, 8751, 5983, 2006, 267, 513, 8701, 7320, 4274, 543, 11848, 3391, 1767, 538, 513, 3948, 607, 20926, 676, 2923, 5359, 269, 634, 1482, 8337, 602, 568, 6679, 4832, 5503, 11848, 7297, 568, 849, 4189, 2476, 693, 519, 4672, 9212, 799, 616, 8720, 519, 11848, 3338, 538, 4516, 543, 23529, 269, 12207, 24633, 602, 519, 5488, 1346, 4672, 6656, 695, 337, 3855, 883, 519, 4478, 5836, 267, 519, 19692, 4262, 2157, 786, 4473, 5001, 563, 263, 763, 1657, 1650, 1101, 7902, 593, 26257, 14877, 593, 9484, 476, 2420, 267, 476, 1708, 271, 476, 6349, 281, 2190, 6751, 594, 4306, 269, 1280, 811, 3377, 543, 10311, 593, 6214, 267, 1158, 267, 5026, 267, 9913, 543, 6197, 267, 2845, 593, 547, 938, 3896, 5767, 569, 2593, 1040, 0, 28324, 707, 24947, 693, 519, 1034, 29200, 540, 782, 13303, 5834, 13122, 267, 26401, 5174, 597, 5287, 879, 563, 2791, 786, 581, 3144, 547, 26401, 594, 585, 4114, 476, 273, 327, 267, 543, 26401, 4083, 910, 21960, 5287, 879, 585, 4114, 476, 272, 327, 269, 9980, 8896, 547, 519, 13122, 568, 1367, 267, 972, 568, 1100, 3391, 267, 543, 596, 3643, 13122, 676, 3054, 269, 9521, 593, 519, 11461, 4663, 267, 596, 786, 723, 942, 547, 1224, 1344, 267, 5022, 540, 14586, 267, 17245, 3092, 269, 799, 616, 2965, 538, 26401, 269, 2353, 540, 519, 24218, 616, 609, 2296, 5705, 527, 956, 269, 1677, 2347, 519, 1995, 267, 593, 519, 4663, 267, 596, 949, 4444, 513, 3391, 1433, 267, 609, 513, 4786, 540, 13122, 267, 11673, 267, 543, 1344, 593, 875, 547, 1118, 513, 1471, 2787, 563, 288, 24671, 21960, 5287, 879, 630, 3707, 271, 910, 476, 3707, 276, 1070, 568, 513, 18189, 1747, 269, 634, 1950, 15538, 540, 1614, 5834, 13122, 267, 543, 513, 12051, 281, 26401, 594, 910, 10029, 4099, 267, 26401, 4083, 5174, 597, 5287, 879, 910, 608, 3410, 1588, 3786, 267, 26401, 8633, 910, 3933, 578, 6308, 910, 960, 3786, 267, 9112, 1985, 547, 645, 10044, 12051, 910, 12051, 540, 30312, 10787, 17754, 269, 7831, 1079, 1705, 711, 7639, 547, 938, 2053, 269, 901, 1950, 729, 513, 1747, 540, 519, 4102, 2527, 608, 3410, 1588, 540, 8103, 1282, 24918, 269, 4658, 945, 5030, 972, 941, 7142, 547, 10553, 960, 543, 5701, 899, 2831, 267, 1034, 540, 873, 1705, 711, 7639, 811, 982, 476, 277, 3275, 269, 3683, 476, 272, 269, 273, 6634, 540, 1004, 4503, 741, 2729, 538, 1346, 13122, 267, 29277, 619, 540, 26401, 941, 12090, 689, 1169, 2197, 538, 2342, 896, 4436, 13567, 269, 4107, 540, 519, 2551, 538, 13122, 941, 7642, 563, 8923, 4063, 602, 519, 3803, 4584, 5346, 942, 949, 4268, 547, 519, 1433, 539, 942, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6310, 3631, 543, 8579, 2409, 267, 27103, 2456, 5659, 891, 2188, 547, 3589, 2104, 4093, 8308, 269, 901, 1344, 20674, 1202, 20445, 538, 4259, 14167, 3928, 267, 5883, 1981, 2823, 31987, 267, 543, 4180, 2883, 6617, 780, 278, 269, 273, 23299, 932, 1173, 525, 543, 11929, 19369, 692, 763, 1158, 540, 27103, 25106, 2257, 7569, 11826, 6514, 3157, 602, 1449, 14971, 4648, 262, 1702, 543, 1983, 8499, 269, 25214, 267, 5821, 3928, 585, 1082, 27103, 25106, 11400, 2039, 1063, 476, 2412, 260, 543, 476, 2568, 9077, 1256, 1851, 1346, 556, 3430, 3319, 532, 519, 4255, 630, 295, 754, 3205, 267, 476, 1001, 279, 1040, 1677, 8011, 538, 713, 2361, 267, 621, 568, 1898, 547, 1902, 9645, 942, 543, 4674, 883, 13215, 1950, 6310, 6436, 543, 4052, 3156, 269, 4841, 1590, 849, 3251, 909, 3562, 15082, 609, 2872, 7835, 543, 6932, 3466, 547, 2327, 789, 2611, 8013, 1282, 741, 11678, 780, 278, 269, 274, 7351, 12367, 538, 2657, 15928, 2920, 340, 25106, 3194, 692, 3080, 8037, 7678, 1369, 1072, 6142, 27103, 25106, 1382, 3322, 3695, 1007, 2081, 547, 6451, 3684, 1565, 6620, 543, 5841, 4987, 2553, 269, 1280, 1383, 267, 930, 3173, 4019, 2620, 8849, 5121, 547, 6811, 1239, 547, 2087, 12611, 7020, 7207, 630, 298, 20783, 1696, 620, 1421, 476, 1708, 272, 1040, 11531, 267, 1866, 4983, 875, 28707, 2029, 666, 1683, 3407, 4030, 3823, 3609, 6868, 262, 19824, 267, 7175, 811, 10531, 14499, 3889, 1759, 593, 1367, 1072, 5615, 630, 299, 24926, 1299, 4258, 978, 267, 476, 1708, 271, 1040, 1306, 971, 7760, 3136, 9687, 6385, 267, 17053, 27103, 2456, 1058, 24559, 2933, 609, 891, 2645, 543, 16097, 547, 3986, 741, 10763, 5759, 2417, 780, 278, 269, 275, 8865, 5530, 281, 21023, 532, 26225, 28787, 338, 4635, 10724, 4804, 27122, 692, 13706, 513, 19858, 9183, 1141, 606, 27103, 25106, 2319, 11394, 547, 1020, 513, 2203, 5827, 540, 20925, 2110, 3856, 9659, 3409, 17831, 1210, 3140, 6811, 1239, 269, 21231, 267, 2757, 26848, 9695, 2079, 1223, 581, 6964, 282, 2705, 267, 6220, 3684, 1565, 6620, 899, 15932, 11206, 610, 2473, 16412, 334, 739, 949, 6556, 9120, 2164, 1813, 547, 2799, 8112, 538, 9781, 22357, 3347, 7915, 1369, 519, 10471, 780, 2414, 2936, 713, 1935, 267, 519, 1739, 3268, 1131, 2049, 1384, 272, 269, 4578, 14635, 281, 20283, 4143, 3140, 6811, 1239, 5627, 4632, 5732, 12018, 9659, 3409, 10171, 630, 324, 3052, 1421, 2085, 267, 4008, 267, 13567, 1826, 267, 2564, 1686, 267, 3092, 28593, 273, 269, 3171, 1155, 7177, 281, 8073, 6209, 2934, 6508, 689, 6151, 3403, 4632, 602, 1732, 7001, 5817, 3270, 543, 12205, 269, 6201, 1331, 5872, 2474, 267, 9971, 20073, 687, 267, 610, 28547, 1958, 617, 902, 563, 274, 269, 7844, 9751, 281, 19147, 519, 10471, 14477, 883, 2866, 543, 4152, 5036, 630, 324, 3052, 1421, 476, 3583, 260, 5288, 269, 476, 1789, 260, 10943, 1080, 264, 1247, 8497, 1362, 3666, 269, 30272, 267, 3514, 2789, 3684, 1565, 6620, 12055, 8271, 267, 14577, 5409, 12407, 4394, 3842, 7470, 3406, 11938, 2553, 547, 7413, 3444, 29705, 9179, 6959, 563, 275, 269, 13437, 16214, 281, 14424, 12605, 6111, 14573, 2066, 12721, 3631, 267, 8939, 519, 1655, 11134, 4433, 264, 1759, 593, 14909, 4162, 630, 324, 3052, 1421, 8856, 267, 11291, 267, 674, 272, 8464, 267, 681, 8016, 14258, 267, 3092, 4700, 543, 2489, 714, 1464, 12290, 998, 856, 6361, 1606, 2217, 2773, 3800, 563, 276, 269, 23840, 281, 20864, 6074, 5690, 4433, 264, 1369, 4540, 896, 8586, 10850, 267, 3850, 1202, 20445, 547, 20688, 4507, 29858, 2687, 547, 10567, 9659, 3409, 1981, 2157, 780, 1607, 3879, 13577, 946, 2013, 9727, 519, 1761, 2640, 540, 10128, 2413, 12985, 4485, 7258, 6671, 27103, 25106, 2853, 267, 6038, 5355, 2949, 3375, 6194, 7207, 950, 5185, 609, 6946, 1072, 6142, 2591, 780, 278, 269, 276, 10390, 692, 10890, 6142, 27103, 25106, 2257, 4564, 606, 2479, 21608, 9015, 8506, 6024, 9542, 543, 5647, 9624, 11385, 908, 2344, 2175, 543, 6639, 23484, 269, 21988, 9439, 2226, 15334, 2066, 3309, 2127, 17364, 6128, 267, 7194, 267, 9297, 267, 8804, 267, 2780, 5752, 267, 543, 2792, 1983, 269, 3414, 30190, 1353, 267, 2259, 267, 543, 7029, 547, 3318, 1646, 267, 14971, 27103, 2456, 666, 18390, 6330, 519, 6422, 5251, 540, 1981, 4879, 543, 2359, 1369, 1072, 6142, 5468, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 8002, 340, 2456, 267, 2705, 267, 616, 3592, 16798, 513, 1164, 2628, 543, 17386, 7694, 7158, 2390, 27216, 519, 18362, 269, 6270, 949, 711, 581, 519, 2013, 585, 782, 15406, 2026, 267, 2523, 519, 3283, 945, 10927, 689, 14758, 1634, 3292, 269, 2372, 924, 18367, 569, 267, 606, 32233, 568, 547, 606, 2920, 4231, 607, 513, 2699, 22269, 11945, 568, 547, 513, 30861, 10538, 563, 1103, 1072, 6142, 267, 27103, 25106, 1382, 6212, 593, 7421, 9659, 267, 24896, 267, 9019, 267, 12680, 543, 824, 20314, 1890, 3928, 269, 634, 1267, 786, 2270, 2012, 267, 16740, 267, 543, 1267, 4567, 540, 519, 10457, 269, 634, 31984, 307, 13675, 981, 786, 581, 4371, 7466, 513, 1032, 267, 538, 519, 3275, 540, 4873, 543, 5412, 267, 17895, 8271, 563, 8002, 340, 25106, 3163, 5403, 12392, 20043, 454, 12024, 594, 14437, 827, 1657, 267, 519, 5821, 10997, 585, 6266, 540, 519, 27103, 25106, 11400, 616, 1063, 476, 2412, 260, 543, 476, 2568, 10065, 1452, 5821, 3928, 18220, 2043, 799, 1522, 581, 1603, 741, 981, 585, 519, 2034, 267, 3791, 267, 8521, 267, 543, 865, 593, 269, 769, 476, 1960, 276, 594, 729, 5143, 585, 1169, 1268, 945, 21783, 519, 772, 540, 14889, 609, 513, 1377, 538, 957, 4231, 972, 723, 1044, 476, 1015, 6009, 7996, 585, 873, 269, 594, 530, 13860, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 29642, 1299, 18598, 1315, 15928, 1315, 11485, 10495, 1299, 5004, 1315, 2920, 340, 25106, 3163, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 7395, 673, 30527, 538, 12144, 11470, 692, 8702, 547, 938, 3408, 540, 9589, 17779, 538, 12144, 3332, 256, 1411, 1522, 581, 11842, 1018, 9589, 17779, 1256, 1797, 269, 4270, 267, 621, 781, 513, 4241, 1259, 540, 10213, 2984, 602, 30012, 519, 8723, 1158, 649, 917, 609, 513, 5905, 540, 9059, 269, 2913, 781, 4685, 883, 713, 9159, 9135, 998, 930, 6909, 8941, 689, 519, 4190, 10195, 540, 519, 12144, 780, 1262, 1432, 568, 7395, 673, 30527, 15140, 5331, 2542, 513, 1433, 827, 513, 8004, 945, 2729, 538, 513, 18932, 267, 9341, 6532, 4904, 609, 7524, 4778, 543, 7874, 1004, 269, 2290, 1554, 267, 1352, 25395, 1200, 20516, 666, 2911, 547, 2831, 910, 1945, 596, 1810, 1405, 1294, 1169, 1554, 267, 1318, 286, 1809, 3079, 540, 1373, 18901, 610, 14281, 267, 3025, 1175, 24693, 621, 899, 621, 781, 519, 1034, 3339, 3364, 538, 519, 1158, 269, 2334, 267, 1250, 2828, 267, 568, 9589, 17779, 2439, 1103, 9589, 17779, 267, 9589, 2621, 610, 3197, 616, 5701, 607, 4948, 20825, 1369, 519, 1650, 269, 898, 781, 1114, 689, 824, 11964, 1317, 972, 3884, 1405, 1022, 7778, 2016, 585, 891, 9058, 4755, 902, 282, 789, 3274, 2291, 543, 1831, 851, 540, 519, 3197, 262, 4641, 269, 901, 2189, 2511, 2337, 4589, 2769, 2620, 4798, 899, 2528, 267, 3961, 267, 543, 1686, 1247, 849, 5329, 721, 593, 519, 6316, 540, 938, 16295, 2439, 1262, 10111, 11194, 11470, 543, 922, 18903, 4373, 3086, 1577, 781, 1491, 513, 6251, 1413, 693, 1946, 9589, 17779, 1568, 865, 1134, 538, 12144, 5708, 269, 634, 4529, 1336, 2066, 519, 1082, 12144, 10195, 616, 3638, 543, 3309, 267, 16471, 7506, 689, 4000, 267, 2342, 267, 5607, 267, 543, 6805, 9082, 269, 2060, 971, 513, 9867, 4282, 267, 9589, 17779, 2636, 5830, 547, 7001, 519, 9759, 540, 741, 6561, 538, 3860, 2081, 269, 1635, 10962, 9589, 2609, 883, 741, 2984, 267, 4589, 666, 13686, 9821, 267, 4978, 267, 543, 5389, 602, 949, 3100, 9490, 610, 14542, 547, 16080, 11107, 780, 2690, 1383, 267, 4952, 1565, 827, 18577, 14326, 4730, 1271, 5107, 538, 1920, 1272, 610, 26704, 7068, 18220, 532, 2067, 4229, 269, 1452, 9735, 3334, 948, 3988, 1174, 1950, 3344, 540, 12144, 2486, 543, 18691, 269, 9578, 267, 789, 1039, 10761, 543, 4898, 547, 519, 6386, 2439, 1262, 25603, 2368, 29055, 16992, 4373, 5278, 20605, 3197, 2408, 538, 9589, 1483, 626, 2984, 1305, 538, 519, 12144, 269, 23621, 11219, 6756, 928, 267, 513, 1762, 4807, 689, 2558, 514, 21059, 267, 8188, 16750, 2591, 950, 1352, 16137, 1352, 1590, 14710, 3504, 9409, 7919, 547, 2149, 1200, 20169, 4816, 269, 2107, 2015, 1323, 7534, 267, 4171, 29401, 6561, 2501, 9800, 998, 1200, 2702, 547, 5968, 609, 14326, 269, 3962, 540, 891, 5869, 1149, 11414, 721, 3407, 4245, 827, 10100, 267, 6043, 267, 543, 1582, 22523, 780, 1262, 18698, 1546, 4177, 21771, 4373, 19741, 19278, 9035, 267, 9589, 17779, 538, 12144, 5708, 12538, 883, 1898, 3584, 899, 19525, 267, 10168, 267, 543, 1514, 8635, 269, 12267, 1419, 4161, 8789, 3140, 6386, 676, 9306, 4244, 5380, 1759, 593, 5711, 2245, 543, 2199, 17691, 269, 3414, 9589, 17779, 267, 4589, 7668, 12790, 9739, 267, 3850, 873, 547, 2671, 741, 18408, 543, 2833, 780, 1262, 7312, 12414, 256, 4373, 3086, 602, 596, 723, 4121, 827, 9589, 17779, 538, 12144, 5708, 267, 2119, 4466, 513, 1433, 689, 713, 9135, 543, 2285, 621, 513, 1224, 256, 9796, 3007, 547, 875, 519, 2278, 3096, 9589, 2609, 547, 2995, 741, 1650, 543, 2992, 593, 519, 4514, 10096, 3297, 1346, 28531, 8090, 269, 8414, 2542, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 15578, 681, 6865, 3198, 12087, 715, 10976, 5085, 32217, 2752, 9169, 476, 1708, 275, 454, 3849, 3439, 1229, 543, 13752, 676, 519, 21434, 23397, 1235, 685, 5948, 454, 763, 17758, 616, 1930, 585, 7127, 689, 476, 276, 628, 4873, 476, 1708, 274, 543, 786, 2673, 1100, 2663, 982, 476, 1789, 628, 5181, 476, 1708, 274, 454, 12812, 519, 968, 1692, 547, 9373, 892, 9184, 585, 3877, 540, 875, 547, 10505, 707, 960, 454, 763, 21434, 23397, 22952, 5029, 16014, 568, 1744, 16336, 594, 6277, 1824, 517, 269, 2353, 679, 24751, 547, 4757, 11333, 2593, 454, 763, 8370, 6688, 585, 519, 21434, 23397, 22952, 547, 581, 4843, 538, 2904, 476, 1708, 275, 585, 2835, 3370, 538, 476, 1708, 274, 786, 581, 912, 268, 634, 26135, 21434, 23397, 13815, 281, 1280, 11509, 9089, 609, 2609, 1141, 519, 5467, 2115, 547, 7080, 754, 771, 10964, 3971, 267, 1519, 9589, 17779, 267, 14810, 267, 2257, 5708, 267, 519, 31510, 5436, 267, 2053, 28309, 630, 514, 799, 513, 1915, 7575, 1063, 942, 5712, 264, 942, 2951, 9089, 543, 2835, 609, 2048, 724, 739, 569, 685, 2609, 563, 268, 634, 10793, 773, 19811, 21434, 28202, 14525, 13815, 281, 1280, 2984, 10023, 513, 8101, 4278, 14525, 267, 24457, 267, 9814, 610, 6760, 1650, 267, 7258, 610, 4628, 1303, 342, 1441, 609, 513, 11509, 1650, 269, 634, 11509, 3693, 1058, 1869, 581, 1360, 2178, 2429, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 300, 698, 673, 30527, 538, 12144, 11470, 257, 607, 851, 540, 834, 11227, 1315, 2622, 9085, 1315, 12144, 1299, 4639, 28851, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 639, 267, 519, 1034, 7986, 4183, 538, 519, 23723, 1014, 5251, 267, 2047, 936, 327, 2426, 519, 3504, 2749, 267, 855, 729, 711, 3769, 538, 922, 6821, 282, 922, 15116, 3337, 21235, 621, 5667, 340, 3386, 585, 6830, 2305, 563, 3528, 519, 14097, 540, 570, 1801, 514, 630, 5908, 271, 264, 19248, 747, 340, 729, 8118, 547, 3864, 16450, 267, 855, 519, 1747, 729, 1336, 3833, 5667, 340, 3386, 585, 513, 2823, 540, 4123, 267, 543, 519, 3771, 13118, 540, 23111, 1606, 14241, 729, 5697, 3079, 563, 13528, 28861, 538, 17555, 623, 822, 21754, 3534, 781, 4527, 267, 24839, 1185, 2141, 5433, 602, 1018, 646, 729, 6031, 729, 856, 540, 1747, 267, 8671, 1652, 543, 5667, 340, 3386, 267, 602, 24616, 799, 8604, 547, 1864, 15931, 1247, 789, 4646, 538, 1010, 2247, 2968, 18174, 880, 607, 4166, 607, 646, 579, 1777, 1229, 873, 267, 1247, 593, 519, 14669, 26194, 8432, 974, 781, 29749, 652, 24616, 3357, 856, 15931, 543, 19038, 563, 1607, 2489, 267, 554, 908, 4446, 743, 599, 267, 887, 1372, 547, 3643, 513, 3659, 540, 1010, 1378, 267, 513, 24767, 19524, 267, 543, 267, 2348, 6170, 519, 1554, 609, 1864, 267, 8120, 547, 4446, 743, 599, 543, 28715, 267, 607, 5667, 340, 3386, 689, 1169, 1448, 540, 2070, 267, 519, 6370, 3033, 646, 1185, 711, 2938, 563, 3891, 568, 5667, 340, 3386, 1631, 267, 1175, 1317, 646, 4566, 856, 3388, 1360, 8499, 543, 8308, 607, 1169, 4436, 814, 547, 563, 23682, 523, 543, 16933, 616, 540, 6281, 2956, 543, 519, 2916, 568, 5667, 340, 3386, 585, 13265, 282, 9640, 540, 513, 1507, 9742, 616, 1031, 547, 930, 6708, 563, 3719, 1082, 540, 519, 4031, 941, 3833, 5667, 340, 3386, 585, 519, 6381, 540, 1010, 2085, 267, 543, 519, 3661, 602, 513, 1560, 540, 6946, 543, 1256, 30137, 9086, 729, 13684, 10393, 2390, 513, 1004, 9241, 7153, 689, 6125, 720, 538, 5527, 12651, 31837, 25236, 762, 1843, 687, 267, 543, 19765, 23660, 519, 1249, 602, 3656, 6165, 11478, 538, 519, 9998, 5933, 540, 2486, 267, 543, 4061, 538, 840, 5336, 6242, 545, 2053, 563, 2467, 666, 581, 2370, 8969, 602, 519, 623, 5500, 343, 729, 519, 10160, 540, 606, 3504, 1381, 282, 519, 11401, 540, 519, 8278, 3380, 807, 941, 540, 513, 3909, 1915, 543, 941, 28263, 676, 513, 15093, 547, 28736, 1412, 288, 344, 30249, 3583, 338, 282, 6862, 568, 621, 10703, 22133, 602, 267, 855, 585, 922, 10723, 12205, 267, 513, 3135, 1131, 723, 1044, 6074, 865, 5667, 340, 3386, 585, 519, 5301, 540, 513, 2442, 10198, 607, 547, 991, 519, 1840, 540, 513, 14427, 5841, 2912, 3218, 1756, 563, 2026, 606, 1884, 1047, 10364, 2892, 5390, 997, 3679, 568, 10169, 1447, 3532, 982, 1286, 26382, 3679, 267, 855, 922, 1202, 565, 28169, 14906, 619, 621, 5667, 340, 3386, 585, 2489, 946, 563, 3891, 3576, 621, 547, 5507, 543, 11643, 621, 547, 12275, 4459, 585, 6041, 693, 3220, 1722, 28818, 267, 855, 621, 729, 15653, 607, 5667, 340, 3386, 585, 519, 3942, 563, 11795, 3720, 9991, 896, 519, 2034, 2489, 2212, 616, 267, 585, 519, 1034, 851, 267, 5667, 340, 3386, 267, 543, 949, 1152, 581, 14661, 630, 604, 693, 782, 264, 998, 519, 25019, 540, 513, 7874, 1379, 563, 7883, 1846, 723, 1044, 1336, 3810, 19311, 538, 1082, 540, 519, 1647, 9533, 2829, 267, 1141, 519, 1279, 3819, 12405, 11904, 519, 4342, 1842, 5667, 340, 3386, 585, 12418, 2250, 3120, 613, 563, 3891, 5747, 538, 1010, 2777, 693, 654, 12494, 1194, 517, 593, 519, 476, 1240, 628, 540, 4728, 476, 8687, 273, 267, 543, 1010, 1560, 729, 12617, 609, 602, 540, 1010, 3993, 693, 661, 2718, 267, 519, 19772, 799, 646, 1185, 5423, 538, 519, 4677, 7923, 547, 1010, 2777, 693, 654, 12494, 1194, 517, 1373, 1336, 5667, 340, 3386, 585, 519, 954, 618, 563, 763, 12798, 538, 5162, 616, 25144, 3819, 1247, 7452, 15420, 616, 7928, 693, 782, 12405, 910, 513, 1249, 799, 14906, 619, 519, 2197, 5667, 340, 3386, 585, 7606, 7092, 689, 9221, 20286, 563, 11073, 2515, 891, 14425, 11999, 8778, 338, 540, 4104, 543, 26570, 1869, 2611, 585, 24999, 543, 14713, 267, 30063, 1373, 6140, 16876, 547, 4104, 2244, 5667, 340, 3386, 585, 7031, 563, 2026, 519, 5762, 3293, 7252, 540, 519, 4837, 538, 713, 2783, 616, 5667, 340, 3386, 585, 10347, 6514, 513, 1434, 4308, 540, 4837, 602, 10596, 713, 14791, 814, 2943, 6038, 547, 581, 15653, 563, 288, 3037, 9967, 540, 5070, 7357, 1131, 581, 1360, 10690, 267, 1131, 723, 2370, 4390, 547, 11677, 1216, 267, 1131, 581, 25964, 547, 1831, 1360, 3905, 538, 519, 24817, 543, 3579, 693, 3781, 543, 1131, 581, 3833, 5667, 340, 3386, 585, 2208, 540, 2371, 563, 763, 8783, 3156, 540, 16266, 6070, 7065, 516, 616, 538, 519, 6491, 878, 3679, 2872, 267, 543, 538, 519, 5478, 540, 8723, 6070, 7065, 516, 585, 1818, 7784, 335, 32535, 267, 8723, 16266, 6070, 7065, 516, 1373, 5667, 340, 3386, 676, 2601, 540, 922, 1642, 2294, 1417, 2470, 267, 513, 3959, 267, 2705, 267, 711, 17820, 676, 519, 9985, 6986, 6070, 563, 291, 7416, 726, 965, 338, 616, 5667, 340, 3386, 585, 5230, 20202, 11934, 543, 585, 588, 3415, 2244, 267, 855, 949, 581, 1031, 609, 1198, 593, 20839, 7632, 543, 593, 2244, 538, 513, 3819, 2182, 1533, 563, 14367, 4528, 540, 519, 27696, 13429, 540, 1526, 3599, 538, 519, 11050, 3344, 540, 9259, 267, 4667, 513, 1360, 5667, 340, 3386, 4493, 585, 513, 6138, 540, 3356, 563, 310, 344, 671, 324, 28756, 999, 602, 621, 1185, 1831, 5667, 340, 3386, 585, 513, 10424, 10160, 676, 2348, 9715, 519, 4567, 540, 513, 10723, 2749, 267, 543, 3976, 3413, 1800, 25113, 547, 20737, 543, 2797, 25476, 1369, 519, 8783, 5939, 543, 513, 9645, 1858, 5180, 621, 267, 1141, 972, 616, 1585, 8075, 538, 799, 971, 7606, 666, 581, 25778, 3022, 543, 7038, 539, 563, 763, 26434, 568, 606, 5667, 340, 3386, 1840, 540, 476, 15876, 272, 676, 519, 24558, 27482, 4056, 8606, 2089, 334, 4236, 341, 4673, 630, 12739, 276, 268, 15876, 276, 1070, 543, 922, 3046, 20529, 23598, 27253, 519, 1198, 540, 519, 5386, 20096, 9703, 563, 8253, 5976, 9227, 519, 1804, 1297, 540, 12535, 267, 519, 4965, 540, 741, 9055, 543, 4463, 540, 741, 8492, 11904, 873, 585, 519, 1034, 851, 5667, 340, 3386, 585, 519, 5301, 540, 12555, 267, 910, 799, 568, 5342, 676, 1797, 540, 795, 327, 2812, 543, 13688, 563, 763, 3510, 9863, 5667, 340, 3386, 282, 519, 14799, 267, 607, 31311, 334, 674, 29531, 3081, 267, 834, 7528, 1600, 3152, 19169, 543, 1732, 3943, 257, 982, 674, 747, 974, 1223, 6556, 267, 543, 1310, 513, 6830, 9519, 781, 3251, 674, 747, 974, 1305, 856, 585, 23951, 12127, 6199, 547, 1294, 23006, 563, 1103, 4207, 2296, 5131, 932, 11699, 519, 19454, 540, 519, 5939, 568, 4122, 17956, 676, 519, 8851, 540, 7606, 5667, 340, 3386, 585, 15376, 689, 519, 5939, 2835, 676, 513, 8917, 540, 519, 3743, 6392, 563, 31702, 264, 7756, 1106, 27909, 723, 547, 581, 7550, 585, 1114, 2418, 540, 544, 282, 519, 1505, 568, 4061, 5667, 340, 3386, 585, 519, 4070, 540, 513, 3349, 4758, 20422, 2418, 540, 519, 1858, 909, 547, 20422, 3921, 7149, 563, 2026, 14621, 922, 11156, 267, 621, 814, 1044, 2016, 693, 1114, 2053, 519, 1106, 27909, 22078, 476, 274, 267, 19760, 296, 476, 273, 267, 19760, 476, 273, 594, 267, 715, 476, 273, 670, 476, 274, 594, 476, 274, 267, 1299, 322, 1421, 891, 8795, 2164, 1373, 1813, 547, 519, 23606, 538, 519, 6219, 267, 19962, 547, 519, 1114, 22602, 2324, 896, 5667, 340, 3386, 2175, 267, 543, 849, 547, 519, 10920, 19397, 2962, 540, 1769, 563, 763, 27948, 540, 1715, 3840, 267, 12425, 543, 17665, 568, 834, 4148, 820, 257, 543, 5667, 340, 3386, 585, 713, 3483, 563, 763, 5023, 9514, 335, 6559, 568, 5667, 340, 3386, 585, 519, 2504, 540, 513, 1804, 18723, 267, 543, 3112, 581, 1031, 585, 1022, 17890, 4238, 282, 8754, 973, 6847, 1590, 581, 1500, 547, 2010, 538, 799, 519, 2011, 15918, 770, 568, 8317, 539, 676, 7344, 1797, 563, 15124, 3017, 540, 6644, 6818, 1851, 4104, 619, 607, 547, 519, 2014, 540, 713, 16160, 4731, 8014, 282, 855, 621, 568, 4440, 519, 1463, 1267, 540, 5667, 340, 3386, 3037, 267, 2523, 3037, 5627, 13385, 29454, 563, 763, 12889, 799, 2014, 22254, 547, 3717, 540, 1978, 30676, 607, 834, 21183, 1305, 1562, 2437, 543, 540, 1978, 22229, 607, 834, 9420, 2437, 949, 581, 1813, 2901, 547, 5667, 340, 3386, 2175, 540, 5007, 2837, 267, 610, 547, 519, 1875, 14092, 1260, 680, 7321, 267, 689, 930, 2014, 610, 824, 267, 540, 3444, 1922, 1068, 16478, 563, 6624, 22254, 616, 1869, 12922, 547, 11145, 606, 5667, 340, 3386, 1016, 31542, 267, 855, 4810, 25210, 723, 9863, 602, 676, 8744, 621, 909, 547, 519, 2627, 543, 11093, 7899, 540, 23226, 538, 519, 4420, 1682, 540, 519, 1585, 512, 29168, 267, 519, 1360, 1655, 2164, 616, 25189, 538, 519, 1576, 540, 513, 4005, 610, 865, 563, 1103, 2013, 540, 1463, 30077, 1782, 543, 519, 946, 540, 3677, 10997, 713, 11122, 32236, 814, 930, 5748, 267, 1317, 519, 3964, 2688, 540, 3850, 519, 5641, 4401, 547, 4396, 1518, 3947, 513, 1732, 4316, 540, 6313, 922, 17795, 267, 543, 3976, 540, 7947, 532, 5667, 340, 3386, 4401, 267, 982, 568, 6488, 539, 538, 1463, 30077, 1782, 563, 1103, 513, 1906, 3275, 646, 1336, 834, 519, 6429, 28025, 5667, 340, 3386, 834, 547, 1864, 267, 543, 827, 519, 1647, 540, 476, 15876, 275, 1305, 856, 585, 5333, 267, 17251, 547, 6108, 930, 1296, 538, 9602, 1353, 563, 2026, 513, 4341, 267, 13265, 1922, 9879, 568, 759, 9285, 547, 1141, 519, 3037, 568, 540, 17071, 2298, 543, 5667, 340, 3386, 585, 11489, 720, 543, 519, 9960, 540, 12418, 563, 1607, 2679, 1373, 2663, 1336, 5667, 340, 3386, 267, 29962, 3131, 9469, 931, 5034, 547, 922, 9042, 267, 543, 538, 476, 8146, 280, 519, 9872, 729, 6410, 547, 3162, 11785, 267, 547, 513, 1804, 2679, 799, 1185, 5892, 1044, 606, 15678, 563, 2467, 568, 513, 13564, 10706, 11777, 720, 630, 842, 22004, 538, 476, 5002, 279, 264, 9967, 540, 513, 19695, 29784, 543, 513, 19695, 20870, 540, 513, 29784, 630, 1492, 2063, 5991, 3139, 729, 1101, 22579, 538, 26459, 267, 855, 713, 4496, 9863, 5667, 340, 3386, 543, 729, 32585, 1916, 5804, 4432, 918, 321, 5045, 1189, 922, 1747, 729, 3144, 676, 8644, 12505, 32498, 267, 2571, 543, 3362, 5249, 267, 855, 5667, 340, 3386, 585, 5386, 17001, 563, 1103, 476, 6245, 274, 646, 5206, 634, 5845, 663, 19907, 267, 513, 22521, 18792, 593, 594, 2125, 523, 1143, 543, 519, 834, 2908, 4807, 2437, 585, 519, 1482, 16222, 267, 855, 519, 4062, 9863, 20248, 5667, 340, 3386, 585, 6004, 13983, 514, 781, 2754, 563, 763, 1079, 1101, 5991, 3139, 616, 22973, 267, 855, 616, 10423, 569, 5667, 340, 3386, 585, 519, 3152, 6712, 540, 8030, 262, 960, 267, 585, 799, 1547, 337, 633, 1154, 543, 10240, 1154, 616, 519, 2409, 7550, 563, 763, 6399, 2836, 12929, 2052, 2254, 2142, 6452, 584, 2299, 7464, 1242, 769, 6657, 769, 7102, 11822, 2494, 1676, 267, 1656, 1772, 4475, 24296, 340, 3386, 1306, 589, 9208, 2986, 18948, 563, 763, 13591, 1362, 3217, 1346, 711, 5892, 26722, 855, 16363, 5667, 340, 3386, 607, 834, 560, 1513, 257, 689, 24970, 1027, 757, 543, 3622, 5667, 15384, 16371, 1915, 563, 3891, 1336, 602, 1247, 519, 4395, 3515, 1185, 1044, 11840, 2299, 25167, 267, 538, 1585, 9922, 519, 15395, 3515, 799, 646, 1185, 8612, 607, 519, 834, 6370, 7158, 834, 941, 3592, 2150, 31189, 267, 543, 2694, 540, 519, 4395, 1899, 941, 5667, 340, 3386, 585, 12675, 4187, 563, 2005, 29263, 1034, 538, 513, 1769, 3138, 600, 609, 513, 3819, 1016, 31542, 282, 3638, 543, 267, 538, 1880, 267, 6632, 11934, 616, 5667, 340, 3386, 267, 31026, 1424, 547, 519, 5250, 540, 1932, 1454, 3574, 563, 8489, 519, 2244, 729, 5667, 340, 3386, 585, 9930, 611, 13567, 519, 6694, 2551, 7283, 267, 543, 621, 1869, 25601, 930, 540, 922, 3312, 4162, 563, 4002, 519, 824, 1688, 267, 1114, 8677, 540, 519, 11903, 267, 3177, 789, 616, 6382, 711, 5667, 340, 3386, 267, 949, 267, 952, 12630, 538, 519, 1482, 3037, 267, 1310, 513, 942, 3132, 25299, 799, 949, 711, 8428, 12517, 538, 1915, 563, 763, 6474, 729, 1253, 4292, 995, 547, 15248, 24051, 2023, 543, 547, 1200, 8250, 282, 513, 10795, 29170, 7758, 729, 519 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5846, 3466, 1851, 2034, 22831, 1306, 2103, 543, 5824, 657, 269, 0, 4504, 889, 566, 568, 519, 1184, 540, 11093, 513, 8546, 883, 519, 1560, 585, 2564, 5301, 269, 15380, 267, 703, 889, 566, 4016, 547, 519, 13307, 540, 606, 24690, 2350, 515, 531, 8546, 547, 4217, 519, 3461, 950, 789, 616, 711, 7244, 3927, 269, 634, 8546, 568, 5116, 883, 519, 30439, 320, 543, 4448, 547, 606, 4217, 633, 3926, 585, 7244, 563, 268, 1627, 1548, 3937, 568, 3044, 538, 1034, 6595, 11623, 888, 268, 1627, 3657, 10605, 16234, 1031, 538, 13487, 18002, 888, 268, 1627, 1215, 616, 10151, 10605, 16234, 1031, 538, 2565, 1416, 888, 268, 1627, 1215, 616, 5605, 17419, 30376, 15450, 1031, 538, 2565, 1416, 888, 268, 1627, 1215, 616, 32137, 3457, 1031, 538, 2565, 1416, 888, 268, 1627, 1215, 616, 1973, 5714, 3636, 619, 1031, 538, 2565, 1416, 286 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 29188, 2604, 1299, 24711, 5123, 634, 605, 29091, 12519, 946, 540, 29469, 547, 1852, 2009, 18116, 630, 16746, 547, 1973, 28163, 538, 519, 2634, 264, 543, 2295, 6285, 630, 29188, 28163, 540, 1973, 8043, 540, 519, 2295, 264, 568, 13006, 269, 589, 2582, 476, 10037, 8406, 4816, 29469, 568, 5227, 676, 1082, 13500, 585, 519, 6604, 540, 1973, 28163, 538, 7606, 693, 1981, 269, 4329, 267, 585, 1346, 609, 1973, 2604, 630, 21990, 264, 602, 568, 693, 519, 524, 22273, 610, 8473, 1467, 9963, 1665, 540, 827, 476, 9610, 270, 3199, 267, 22680, 7939, 543, 1852, 568, 1271, 269, 9315, 328, 5505, 3494, 602, 3818, 1673, 2607, 4485, 602, 9192, 555, 27927, 1938, 267, 12498, 1532, 6674, 619, 543, 31984, 20127, 616, 1271, 7755, 9417, 338, 538, 519, 2112, 593, 2295, 2068, 269, 634, 4095, 1353, 4080, 1934, 5267, 2318, 2164, 585, 946, 540, 513, 2582, 10788, 609, 476, 276, 5061, 7132, 31447, 3679, 269, 901, 1935, 1131, 8897, 3818, 1790, 650, 12879, 267, 28842, 1466, 543, 6959, 563, 306, 17532, 623, 1571, 543, 24391, 2334, 4518, 543, 1548, 1358, 1684, 454, 288, 2656, 2689, 568, 538, 1931, 1934, 269, 634, 1362, 540, 3075, 543, 1018, 621, 1281, 1246, 912, 268, 555, 27927, 1938, 616, 1019, 675, 9455, 267, 789, 4894, 4430, 12862, 689, 519, 1560, 267, 2569, 2295, 8833, 454, 268, 31984, 20127, 616, 2027, 20127, 540, 519, 4911, 3999, 839, 514, 20593, 1154, 2037, 10405, 267, 2061, 1973, 2604, 4679, 282, 972, 568, 1973, 2604, 5786, 267, 1447, 2295, 8833, 454, 268, 12498, 3625, 619, 21391, 610, 6175, 18993, 3827, 610, 12981, 547, 519, 2295, 547, 3432, 909, 543, 6802, 811, 267, 2295, 2557, 25815, 267, 2604, 12772, 454, 268, 2493, 1231, 616, 8501, 268, 869, 1359, 5061, 268, 2493, 1231, 6175, 29693, 13196, 267, 2061, 32560, 540, 16209, 543, 3976, 2061, 11081, 540, 1973, 2095, 543, 8458, 540, 28163, 282, 9962, 1973, 8043, 3895, 1447, 4187, 543, 4443, 2295, 23028, 454, 268, 29469, 568, 513, 2241, 267, 2500, 4550, 12641, 31857, 3053, 656, 2500, 585, 8482, 543, 2295, 4323, 6604, 7132, 972, 568, 2963, 540, 11081, 538, 519, 11841, 540, 3935, 2860, 454, 24342, 540, 519, 18001, 4083, 5530, 454, 1607, 1353, 666, 581, 24298, 607, 1934, 912, 268, 476, 273, 267, 4962, 274, 15548, 945, 1185, 513, 2582, 1981, 3815, 630, 324, 3052, 11506, 1973, 2604, 610, 1164, 8501, 994, 268, 2516, 941, 25282, 602, 4607, 782, 476, 276, 3053, 1218, 284, 519, 25168, 650, 610, 4874, 5115, 267, 543, 476, 279, 1852, 2516, 609, 513, 2582, 3075, 610, 10659, 540, 476, 273, 610, 476, 274, 22680, 5061, 454, 268, 519, 4874, 5115, 610, 25168, 650, 4389, 30918, 4301, 22680, 630, 4186, 3555, 2295, 5123, 264, 676, 476, 278, 269, 275, 6515, 454, 268, 972, 729, 849, 25168, 650, 5786, 540, 519, 1019, 770, 4301, 22680, 630, 7758, 1314, 539, 267, 2295, 5123, 264, 676, 476, 276, 269, 277, 6515, 454, 268, 519, 25168, 650, 5249, 1655, 540, 782, 3797, 7648, 6836, 454, 3519, 7501, 540, 18001, 4083, 454, 763, 4681, 540, 519, 5123, 4083, 851, 540, 519, 2090, 941, 9621, 269, 634, 1985, 5123, 8633, 1353, 786, 8399, 4166, 269, 901, 1058, 4228, 543, 4434, 519, 1239, 5833, 538, 713, 9354, 1353, 563, 2690, 2550, 267, 1699, 543, 2104, 267, 891, 1239, 3180, 519, 9153, 540, 22237, 267, 605, 29091, 12519, 3797, 602, 568, 540, 1970, 1981, 267, 20522, 543, 814, 1434, 1072, 2640, 563, 14187, 2295, 1072, 5673, 2390, 1271, 2188, 971, 607, 2732, 543, 3635, 543, 519, 17594, 540, 7296, 269, 634, 5786, 540, 2566, 543, 519, 3339, 1944, 610, 5786, 540, 11506, 267, 9402, 2418, 585, 1973, 2604, 267, 27831, 1938, 267, 543, 25928, 338, 568, 1271, 269, 18648, 610, 1970, 31613, 2418, 616, 16913, 849, 267, 609, 519, 3804, 602, 3617, 11257, 267, 13950, 896, 1434, 2564, 5583, 267, 786, 2149, 543, 3986, 513, 3461, 779, 1072, 563, 31714, 4867, 2921, 11311, 6527, 1058, 3136, 547, 798, 269, 634, 25168, 650, 1252, 923, 949, 1331, 930, 610, 1034, 540, 519, 1360, 6225, 5061, 930, 2550, 616, 4867, 2921, 281, 555, 27927, 728, 267, 693, 523, 565, 565, 267, 15155, 760, 22567, 267, 1138, 341, 770, 11294, 543, 29469, 630, 869, 9570, 1040, 634, 13598, 1942, 540, 513, 25168, 650, 568, 15810, 693, 827, 1269, 1704, 563, 5472, 2043, 1058, 1205, 21496, 2564, 2638, 5725, 267, 3617, 2978, 4255, 543, 1246, 543, 3343, 519, 5796, 543, 6527, 602, 11727, 267, 19579, 2564, 7189, 666, 1683, 269, 0, 26199, 2012, 910, 715, 580, 7578, 2893, 10216, 700, 563, 28082, 4408, 910, 669, 11948, 2258, 745, 267, 2258, 22567, 3821, 267, 2142, 3873, 320, 2678, 5576, 8705, 345, 330, 17026, 601, 267, 3109, 524, 6058, 267, 13206, 321, 520, 592, 5174, 541, 752, 1695, 267, 562, 580, 16279, 267, 535, 14513, 524, 6058, 267, 524, 6058, 1100, 597, 563, 18850, 9084, 543, 26335, 910, 5065, 547, 11335, 267, 519, 26811, 753, 267, 5607, 19724, 267, 24272, 30510, 267, 7262, 5607, 267, 3127, 543, 3345, 4000, 563, 20373, 910, 5993, 2249, 269, 853, 2114, 16245, 267, 2241, 610, 4839, 3481, 267, 476, 2412, 4699, 7381, 267, 1435, 27853, 269, 27817, 476, 273, 268, 274, 4699, 1279, 267, 14595, 267, 5089, 850, 267, 5276, 610, 7522, 561, 766, 25544, 22725, 514, 4512, 267, 3003, 267, 8650, 269, 3752, 3202, 12363, 4870, 2803, 12412, 269, 27003, 7895, 545, 601, 267, 957, 514, 558, 528, 10623, 267, 1200, 332, 7469, 16967, 924, 267, 20008, 600, 699, 269, 2836, 344, 343, 5161, 540, 476, 276, 5094, 267, 1073, 14075, 9065, 622, 267, 9133, 1073, 339, 2224, 267, 3043, 267, 4544, 25984, 547, 519, 1283, 267, 609, 2110, 543, 7522, 796, 7666, 545, 3121, 269, 715, 624, 926, 657, 796, 7666, 545, 3634, 2110, 267, 21536, 629, 5573, 267, 519, 2978, 807, 5634, 320, 21536, 20899, 267, 2978, 807, 2101, 320, 11940, 1258, 520, 269, 2349, 334, 1682, 538, 2904, 5025, 1872, 755, 269, 22500, 28608, 5895, 983, 23555, 267, 519, 32235, 6677, 637, 920, 1162, 547, 519, 1283, 267, 1394, 17031, 267, 609, 1279, 581, 752, 267, 3592, 607, 32235, 269, 2558, 574, 1276, 5573, 5452, 267, 3109, 563, 303, 1886, 698, 566, 910, 676, 5452, 563, 19187, 2906, 543, 21964, 910, 16916, 607, 25798, 2249, 563, 10501, 6685, 910, 715, 580, 7578, 2893, 10216, 12851, 547, 519, 1920, 28234, 684, 1529, 19687, 267, 9428, 2282, 519, 11335, 2477, 267, 9031, 543, 3127, 563, 301, 580, 7578, 2893, 10216, 814, 1044, 1031, 585, 5553, 602, 10826, 540, 1082, 3676, 267, 543, 24996, 563, 2005, 729, 1031, 676, 16380, 547, 1521, 20316, 989, 18967, 523, 328, 543, 9224, 267, 5694, 2851, 267, 14331, 267, 14159, 24074, 267, 22854, 1143, 267, 543, 607, 513, 1019, 675, 6776, 563, 10144, 689, 11335, 715, 269, 2893, 10216, 6079, 3282, 1349, 543, 946, 621, 607, 513, 2067, 16185, 1996, 1082, 3676, 563, 763, 5452, 616, 3638, 538, 11254, 7408, 267, 5946, 267, 11950, 267, 543, 1898, 11041, 563, 17951, 601, 3821, 2895, 13370, 700, 269, 910, 17848, 10513, 13336, 454, 17951, 601, 3821, 267, 20211, 13370, 267, 19664, 3821, 1019, 4425, 1335, 807, 267, 2895, 13370, 267, 3552, 13767, 2044, 267, 3552, 16163, 30876, 267, 536, 2967, 1990, 6062, 267, 1266, 601, 342, 677, 601, 267, 4911, 2946, 331, 1664, 267, 19664, 11986, 267, 645, 6412, 342, 584, 345, 267, 932, 7702, 267, 14950, 12298, 724, 19789, 267, 476, 969, 320, 798, 10507, 2869, 17010, 16114, 334, 267, 546, 329, 698, 650, 267, 606, 2675, 3559, 11986, 267, 661, 2869, 15856, 986, 714, 1642, 16114, 334, 267, 519, 3597, 540, 519, 10513, 13336, 563, 288, 638, 850, 22468, 693, 337, 1092, 918, 5255, 454, 295, 8538, 17675, 21064, 269, 10910, 714, 727, 5394, 267, 19794, 610, 25241, 958, 269, 25745, 16245, 267, 4839, 3481, 267, 1435, 27853, 267, 3039, 610, 2699, 1790, 584, 921, 18707, 267, 476, 1789, 268, 3199, 4699, 1164, 269, 23516, 9922, 10981, 622, 476, 274, 10981, 525, 610, 2694, 267, 3039, 593, 519, 5580, 3068, 543, 3039, 593, 519, 2539, 1350, 879, 8619, 454, 306, 655, 328, 268, 1197, 13582, 610, 28033, 2249, 602, 3382, 519, 2666, 1134, 269, 27817, 5276, 7369, 26234, 610, 887, 3553, 5052, 593, 11710, 267, 476, 272, 269, 276, 268, 273, 4699, 1279, 543, 476, 273, 6515, 2647, 267, 590, 525, 807, 267, 1016, 3634, 269, 595, 24982, 14505, 19806, 558, 610, 11784, 12363, 8768, 4646, 540, 476, 274, 269, 280, 269, 4856, 7637, 4646, 540, 476, 276, 24968, 900, 1173, 3729, 693, 1283, 267, 1073, 990, 1092, 267, 476, 272, 4699, 1279, 267, 476, 276, 6515, 2647, 267, 1350, 629, 571, 267, 476, 272, 269, 274, 4699, 1279, 8546, 269, 476, 276, 26176, 839, 267, 538, 519, 1351, 3326, 320, 8546, 540, 1114, 15627, 563, 307, 1380, 559, 6210, 2842, 321, 698, 910, 897, 1206, 20584, 454, 5804, 519, 5824, 570, 1380, 559, 6210, 512, 1380, 529, 815, 11522, 593, 519, 2030, 781, 16392, 3601, 267, 2842, 321, 698, 568, 519, 2025, 2012, 540, 1402, 24882, 1317, 540, 10486, 1063, 891, 2249, 3762, 563, 20360, 321, 698, 570, 1380, 559, 6210, 570, 1380, 559, 6210, 568, 519, 1152, 2249, 540, 519, 12593, 563, 291, 3930, 14585, 1938, 267, 1031, 1494, 4472, 3762, 607, 513, 12990, 585, 10269, 267, 543, 547, 1521, 11522, 543, 10447, 563, 13070, 3234, 8205, 552, 1575, 1807, 807, 700, 269, 910, 1309, 18649, 9435, 267, 1164, 2881, 7534, 454, 13070, 3234, 8205, 552, 1575, 1807, 807, 910, 513, 21064, 10786, 609, 513, 2110, 29127, 727, 543, 16245, 267, 4552, 344, 267, 2356, 796, 1962, 534, 3481, 6565, 269, 634, 21828, 3762, 616, 11231, 538, 513, 887, 3553, 974, 269, 1772, 513, 1455, 2030, 2429, 2342, 267, 13797, 568, 4686, 538, 5087, 10430, 563, 3412, 6312, 16772, 536, 1023, 600, 2088, 910, 513, 2249, 10786, 17675, 5993, 267, 5065, 547, 3624, 543, 3127, 269, 16916, 607, 25798, 2371, 538, 11614, 543, 10651, 269, 898, 666, 581, 6738, 607, 1494, 1540, 2371, 267, 855, 530, 23926, 5781, 563, 289, 5060, 639, 5033, 704, 341, 790, 985, 910, 28033, 21906, 267, 5065, 540, 7187, 4000, 267, 5607, 543, 2342, 267, 909, 547, 476, 8517, 544, 15820, 269, 9214, 1162, 538, 4686, 28301, 7733, 593, 14680, 26828, 538, 13566, 14266, 267, 538, 7681, 609, 8870, 3234, 639, 595, 582, 821, 2120, 267, 12877, 6350, 7510, 337, 2120, 267, 2398, 684, 639, 8095, 6242, 543, 2549, 601, 21123, 1512, 4232, 1495, 604, 16288, 563, 4537, 13041, 610, 1507, 3529, 267, 476, 272, 268, 276, 544, 4463, 267, 31537, 14472, 328, 2045, 328, 267, 5347, 610, 5594, 10775, 5523, 610, 8685, 619, 267, 1350, 879, 8619, 267, 13711, 269, 27817, 609, 22917, 2088, 7522, 2000, 766, 565, 1092, 267, 561, 766, 565, 1092, 610, 7522, 268, 984, 14075, 268, 749, 18967, 673, 267, 476, 279, 268, 2641, 1535, 476, 274, 269, 279, 4699, 267, 519, 22887, 18050, 524, 2317, 1092, 267, 1283, 8650, 610, 1073, 339, 2224, 267, 4620, 1470, 548, 909, 547, 476, 276, 6515, 1279, 269, 8891, 1023, 476, 273, 268, 274, 267, 476, 279, 269, 1321, 6515, 1279, 267, 9065, 1092, 269, 0, 5445, 5156, 602, 2699, 729, 519, 968, 3712, 712, 540, 1272, 6100, 2859, 982, 513, 6478, 590, 8016, 25240, 269, 4256, 2645, 543, 9604, 941, 1500, 540, 3574, 543, 10889, 14900, 2694, 269, 19255, 936, 476, 1015, 267, 1822, 1164, 7779, 24064, 2643, 1286, 6885, 1232, 1023, 543, 2688, 29654, 602, 666, 581, 2759, 538, 1507, 543, 1804, 7306, 267, 10531, 609, 707, 1257, 267, 543, 2097, 538, 513, 3099, 540, 2442, 4778, 1299, 31960, 4837, 269, 634, 1114, 4609, 540, 16737, 12074, 941, 2919, 1210, 519, 4408, 540, 16737, 267, 6519, 21696, 267, 5682, 10326, 267, 543, 8055, 547, 16174, 1851, 519, 4778, 540, 2881, 638, 18857, 3812, 269, 9406, 1631, 267, 519, 4950, 568, 705, 340, 3960, 609, 513, 15555, 528, 602, 23729, 2106, 23765, 540, 16737, 3377, 1767, 602, 7111, 4892, 941, 9247, 10363, 11082, 269, 25478, 10507, 330, 24982, 1913, 585, 6777, 281, 589, 12504, 781, 3391, 269, 3245, 519, 11428, 540, 519, 15609, 3440, 322, 22620, 693, 932, 545, 1156, 898, 5633, 538, 589, 269, 1977, 12075, 5617, 10079, 269, 7111, 1977, 11031, 723, 5030, 543, 4278, 1882, 2390, 519, 3345, 1977, 5251, 585, 5215, 540, 1296, 1765, 14075, 1354, 972, 729, 513, 2136, 2276, 269, 634, 11344, 890, 320, 267, 610 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 24333, 1535, 267, 834, 2437, 267, 586, 1477, 16875, 1477, 1038, 1535, 815, 476, 1015, 1341, 4351, 3890, 2608, 630, 17839, 15030, 2839, 8025, 910, 476, 2004, 3418, 1038, 586, 815, 476, 1015, 1341, 4351, 3890, 2608, 630, 17839, 269, 4047, 20846, 910, 476, 2004, 3418, 1038, 1544, 14491, 4910, 2064, 16360, 25193, 578, 3287, 267, 586, 1040, 4148, 760, 3890, 3418, 1038, 1820, 834, 5522, 5217, 513, 536, 25193, 578, 693, 4087, 24333, 1535, 267, 834, 2437, 267, 586, 1477, 16875, 1477, 1038, 1535, 815, 476, 1015, 1341, 4351, 3890, 2608, 630, 17839, 15030, 2839, 8025, 910, 476, 2004, 3418, 1038, 586, 815, 476, 1015, 1341, 4351, 3890, 2608, 630, 17839, 269, 4047, 20846, 910, 476, 2004, 3418, 1038, 1544, 14491, 4910, 2064, 263, 23991, 12709, 3287, 267, 586, 17903, 1038, 1820, 834, 5522, 5217, 513, 1920, 1753, 693, 4087, 24333, 1535, 267, 834, 2437, 267, 586, 1477, 1363, 1477, 1038, 1535, 815, 476, 2004, 1341, 4351, 3890, 2608, 630, 17839, 15030, 2839, 8025, 910, 476, 1911, 3418, 1038, 586, 815, 476, 2004, 1341, 4351, 3890, 2608, 630, 17839, 269, 4047, 20846, 910, 476, 1911, 3418, 1038, 1544, 14491, 25440, 3033, 263, 25440, 3033, 3287, 267, 586, 17903, 1038, 1820, 834, 5522, 5217, 513, 19209, 693, 4087, 281, 14307, 1535, 267, 834, 2437, 267, 586, 1477, 1363, 1477, 1038, 8700, 815, 4351, 3890, 2608, 476, 736, 1341, 476, 736, 1477, 1038, 4463, 815, 4351, 3890, 2608, 476, 1789, 1341, 476, 1789, 1477, 1038, 1535, 815, 476, 1015, 1341, 4351, 3890, 2608, 630, 17839, 15030, 2839, 8025, 910, 8700, 910, 476, 1015, 3418, 1038, 586, 815, 476, 1015, 1341, 4351, 3890, 2608, 630, 17839, 269, 4047, 20846, 910, 4463, 910, 476, 1015, 3418, 1038, 1544, 14491, 12850, 7853, 263, 12850, 7853, 3287, 267, 586, 267, 8700, 267, 4463, 17903, 1038, 1820, 834, 5522, 5217, 513, 1216, 7853, 693, 4087, 281, 14307, 1535, 267, 834, 2437, 267, 586, 267, 834, 1993, 2450, 2580, 8700, 267, 834, 343, 2580, 4463, 1477, 1363, 1477, 1038, 952, 263, 17839, 18994, 11749, 573, 3890, 2567, 1820, 834, 23945, 568, 4570, 29177, 1038, 3116, 281, 1820, 834, 23945, 568, 23380, 29177, 1363, 1477, 1038, 1820, 834, 19368, 540, 1544, 568, 24333, 1544, 10947, 23945, 19368, 14052, 1363, 1477, 1038, 2132, 1544, 1477, 24541, 7078, 3890 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 267, 476, 273, 264, 602, 519, 1973, 540, 513, 6408, 568, 1898, 547, 693, 821, 618, 630, 13913, 505, 403, 353, 29645, 403, 498, 13913, 494, 403, 506, 403, 494, 13913, 495, 403, 497, 403, 507, 13913, 494, 27783, 509, 2073, 1775, 4318, 269, 834, 11004, 568, 1100, 1163, 2747, 4849, 676, 1973, 19823, 513, 6240, 18931, 676, 519, 2278, 540, 519, 9210, 16824, 547, 519, 1261, 3691, 9749, 630, 3852, 356, 22886, 16708, 30307, 370, 19084, 3852, 495, 30307, 370, 19031, 10382, 16483, 15770, 24681, 395, 485, 21227, 17385, 29111, 10382, 19084, 3852, 509, 30307, 494, 3852, 497, 29111, 14832, 17385, 16483, 10382, 15403, 31057, 490, 395, 484, 15770, 17385, 15403, 19084, 2073, 476, 280, 281, 476, 2420, 1040, 6423, 15840, 337, 267, 13507, 269, 13797, 267, 476, 1001, 13483, 269, 630, 8450, 5890, 2747, 1040, 634, 1973, 540, 24279, 729, 9575, 676, 519, 6014, 17308, 689, 519, 8405, 540, 519, 6408, 538, 513, 16935, 267, 1287, 20057, 1194, 5722, 2053, 630, 514, 519, 2013, 540, 5017, 693, 2899, 8774, 856, 264, 593, 519, 26749, 267, 1775, 4318, 269, 593, 922, 28712, 267, 922, 3490, 267, 610, 922, 2185, 15174, 267, 610, 593, 922, 2427, 1657, 610, 2630, 513, 1899, 4881, 5180, 621, 267, 610, 593, 519, 23502, 5498, 520, 267, 2687, 547, 519, 2298, 543, 3483, 540, 519, 5356, 282, 855, 602, 540, 519, 30687, 593, 519, 561, 842, 601, 543, 7450, 1790, 739, 338, 630, 2750, 21402, 476, 1321, 282, 2274, 10903, 16307, 476, 275, 281, 276, 268, 278, 282, 2274, 10903, 16307, 476, 1626, 281, 1691, 268, 866, 282, 21051, 565, 7236, 267, 634, 338, 269, 2019, 269, 1535, 543, 1535, 13839, 1040, 1703, 729, 513, 8963, 689, 519, 13527, 883, 519, 2156, 758, 595, 539, 1258, 547, 4163, 1055, 519, 1973, 630, 300, 2727, 517, 269, 7442, 644, 15434, 1067, 1546, 589, 14780, 1401, 614, 269, 21051, 565, 7236, 267, 642, 13839, 1040, 898, 647, 1553, 539, 547, 13248, 519, 3662, 781, 1973, 593, 519, 3618, 267, 610, 547, 30565, 621, 267, 607, 513, 32444, 17021, 540, 519, 1272, 547, 2696, 269, 630, 8450, 15762, 337, 12715, 1916, 274, 269, 670, 5669, 10537, 269, 2443, 769, 713, 2463, 834, 1973, 257, 568, 1419, 1031, 585, 5020, 281, 2696, 834, 786, 2154, 519, 1973, 540, 812, 282, 257, 646, 786, 19439, 12638, 538, 1018, 6073, 865, 1197, 8149, 630, 19606, 476, 280, 281, 276, 1040, 834, 3571, 1973, 581, 2390, 721, 257, 630, 15623, 476, 2767, 281, 1839, 1070, 1577, 519, 16203, 540, 1010, 2669, 581, 791, 3176, 547, 721, 269, 834, 763, 5639, 540, 16815, 7015, 781, 1973, 524, 686, 996, 282, 257, 519, 12638, 8149, 593, 1864, 524, 686, 996, 585, 642, 3188, 766, 630, 19606, 476, 275, 281, 1015, 1040, 834, 763, 1285, 10152, 540, 1973, 282, 257, 646, 945, 568, 547, 1285, 3188, 519, 2669, 540, 1010, 3448, 630, 10606, 476, 3374, 281, 2190, 282, 10606, 476, 3374, 281, 2767, 1040, 634, 20577, 896, 519, 631, 6242, 545, 1876, 941, 27648, 16488, 1063, 834, 29188, 543, 1973, 2437, 602, 568, 267, 538, 7803, 6927, 267, 543, 950, 519, 1272, 540, 812, 729, 693, 7196, 282, 789, 1185, 547, 3313, 2436, 519, 12638, 941, 13680, 610, 17319, 267, 2436, 513, 6760, 964, 5703, 2669, 610, 15861, 540, 1121, 2153, 630, 1546, 17458, 16860, 476, 1704, 281, 279, 1040, 769, 2013, 540, 1480, 1973, 338, 1117, 267, 513, 12357, 4276, 568, 28507, 1063, 519, 31169, 540, 1973, 543, 519, 3618, 610, 2244, 593, 799, 621, 568, 8774, 267, 799, 3587, 26130, 676, 621, 282, 543, 519, 1697, 1163, 2747, 568, 519, 1973, 540, 519, 8774, 1457, 267, 799, 1169, 835, 1185, 3976, 606, 1719, 538, 3169, 532, 267, 543, 729, 3808, 547, 3343, 630, 19606, 476, 275, 281, 1015, 282, 19606, 476, 280, 281, 275, 268, 277, 282, 10606, 476, 3374, 281, 3451, 282, 25360, 916, 476, 11793, 281, 4343, 1040, 630, 8450, 2997, 10152, 2986, 10552, 1040, 769, 519, 2013, 540, 513, 4666, 1560, 1336, 543, 519, 2669, 711, 20039, 585, 267, 519, 16203, 540, 1973, 7923, 547, 519, 14282, 2749, 267, 547, 581, 23754, 539, 676, 6482, 267, 2394, 15685, 676, 11311, 32537, 540, 1163, 2747, 630, 1546, 17458, 16860, 476, 2641, 281, 272, 268, 280, 1040, 634, 16203, 540, 12638, 568, 835, 585, 799, 513, 9547, 257, 729, 24193, 630, 10606, 476, 3374, 281, 4029, 1040, 630, 8450, 12653, 1457, 1916, 275, 269, 769, 513, 5594, 5450, 777, 1817, 673, 2631, 267, 834, 1973, 257, 3006, 1797, 17813, 610, 2470, 267, 676, 16495, 540, 2078, 610, 931, 1481, 6541, 281, 2696, 834, 327, 987, 1500, 540, 835, 1973, 782, 6082, 540, 2367, 257, 630, 20450, 476, 1704, 281, 2918, 1040, 898, 568, 849, 1031, 607, 519, 3090, 540, 26718, 543, 9019, 630, 30037, 476, 4097, 281, 274, 282, 26442, 2131, 1408, 476, 1691, 281, 866, 1040, 898, 849, 18575, 1169, 2186, 540, 16349, 2669, 630, 26442, 2131, 1408, 476, 3953, 281, 277, 282, 26442, 2131, 1408, 476, 4375, 281, 1240, 1040, 834, 763, 12050, 4337, 518, 262, 540, 519, 22445, 2437, 3081, 5246, 29989, 1715, 2492, 267, 834, 568, 8547, 593, 519, 2688, 540, 1045, 14591, 547, 905, 6814, 1310, 24279, 282, 15438, 267, 2379, 806, 267, 543, 1119, 7847, 1373, 6829, 676, 986, 916, 267, 13032, 338, 267, 543, 646, 30559, 1846, 1701, 10552, 568, 3006, 2322, 585, 521, 1481, 2435, 5301, 267, 607, 538, 30037, 476, 3451, 281, 1428, 267, 834, 3891, 602, 3247, 335, 996, 1010, 10772, 689, 6217, 540, 1973, 2437, 610, 267, 811, 5265, 267, 945, 3247, 335, 996, 1010, 10772, 547, 519, 11556, 540, 1973, 338, 1117, 269, 1677, 834, 31683, 519, 3952, 538, 1973, 257, 630, 25360, 916, 476, 6812, 281, 1015, 264, 568, 547, 2744, 513, 11802, 609, 1454, 26718, 269, 1677, 834, 28265, 513, 4884, 609, 1973, 257, 630, 13206, 752, 330, 4157, 476, 273, 281, 1321, 264, 568, 676, 4929, 519, 2669, 540, 519, 31345, 31356, 607, 10437, 563, 310, 710, 568, 1572, 519, 1973, 540, 519, 18812, 282, 834, 3891, 18233, 1010, 23157, 538, 9174, 267, 543, 1010, 9660, 538, 519, 1973, 540, 18683, 257, 630, 19606, 476, 5392, 281, 1556, 1040, 3371, 519, 4137, 568, 3362, 6956, 267, 607, 1022, 3364, 540, 513, 2699, 2681, 949, 581, 3379, 547, 1973, 269, 6423, 654, 655, 903, 338, 267, 13507, 269, 667, 1112, 269, 590, 17679, 269, 5257, 674, 956, 327, 1656, 10552, 616, 5116, 538, 11685, 547, 513, 9120, 610, 5289, 2470, 281, 834, 674, 956, 327, 543, 1973, 554, 987, 711, 7000, 621, 21349, 26899, 267, 855, 1250, 12429, 945, 568, 538, 13140, 257, 630, 15623, 476, 1626, 281, 1704, 1040, 674, 956, 327, 543, 1973, 616, 849, 10353, 547, 519, 1350, 528, 1881, 1560, 281, 834, 293, 956, 327, 543, 1973, 3112, 27836, 519, 10806, 540, 2696, 257, 630, 476, 272, 29833, 2103, 476, 1428, 281, 2004, 1040, 1358, 616, 10353, 547, 9409, 14326, 281, 834, 2171, 22617, 548, 711, 1996, 17145, 543, 1973, 2437, 1996, 7298, 14763, 7768, 540, 17145, 543, 1973, 267, 834, 8117, 1996, 9030, 885, 543, 7060, 2437, 3092, 269, 630, 9210, 1127, 2103, 476, 277, 281, 1321, 1040, 630, 8450, 661, 1276, 30658, 1916, 17220, 9208, 6426, 15610, 3097, 4565, 644, 630, 13913, 497, 32679, 403, 507, 2073, 546, 5953, 332, 2073, 4440, 689, 13913, 494, 403, 497, 403, 507, 2073, 1412, 5953, 323, 5069, 834, 1729, 581, 2699, 21968, 14668, 413, 376, 371, 19031, 10382, 2073, 688, 13799, 392, 479, 2742, 476, 2567, 13242, 538, 519, 6196, 11620, 547, 1374, 622, 519, 1272, 6240, 538, 2901, 3662, 610, 10448, 267, 607, 519, 1973, 540, 812, 610, 519, 10433, 540, 519, 18812, 630, 2274, 10903, 16307, 476, 1704, 281, 1556, 2073, 1696, 620, 4700, 282, 538, 519, 1715, 11620, 585, 519, 1973, 540, 606, 3662, 267, 519, 693, 11238, 1973, 540, 2441, 267, 543, 538, 1312, 6196, 11620, 543, 1715, 11620, 538, 513, 27461, 2631, 585, 1973, 338, 1117, 610, 12638, 630, 19606, 476, 4391, 281, 2918, 282, 670, 846, 320, 476, 275, 281, 273, 282, 31694, 476, 1626, 281, 277, 30155, 272, 269, 10021, 1438, 14313, 454, 7212, 519, 1483, 1599, 540, 519, 1973, 538, 519, 1480, 1062, 729, 711, 4628, 1634, 2394, 519, 1249, 540, 922, 10009, 729, 3964, 676, 5261, 29542, 538, 476, 14065, 276, 267, 18562, 689, 519, 9998, 2053, 513, 13737, 9814, 814, 1044, 7923, 547, 621, 676, 782, 9082, 269, 10552, 32537, 267, 1973, 18428, 543, 1973, 21535, 338, 616, 1455, 1851, 18642, 11031, 269, 898, 3357, 547, 581, 6444, 607, 519, 1272, 6240, 1279, 1354, 621, 729, 23963, 9863, 547, 581, 269, 28900, 513, 4743, 540, 4250, 267, 25713, 543, 27527, 1131, 581, 7923, 547, 519, 17766, 540, 1973, 269, 2060, 1082, 4608, 2753, 1242, 9082, 10077, 2305, 540, 519, 1560, 2394, 1973, 8928, 568, 13736, 269, 10552, 7015, 3125, 610, 1973, 11505, 568, 3964, 676, 3979, 11031, 676, 519, 8994, 17766, 540, 1973, 543, 2901, 6704, 621, 610, 27012, 621, 593, 835, 1776, 781, 4703, 269, 4935, 543, 676, 519, 954, 20675, 325, 4288, 540, 1973, 676, 824, 1797, 621, 729, 2219, 602, 513, 2146, 540, 1272, 543, 1719, 1223, 581, 3964, 563, 273, 269, 12355, 543, 6196, 11620, 31654, 1682, 454, 8253, 5976, 9227, 519, 22293, 543, 22530, 819, 4478, 713, 2303, 1947, 4190, 2856, 267, 621, 8057, 547, 723, 811, 982, 513, 8806, 1480, 4644, 543, 3498, 269, 1280, 713, 19020, 2259, 540, 954, 20675, 12401, 540, 1480, 1973, 972, 3357, 547, 581, 513, 12572, 18839, 540, 3662, 1973, 538, 20057, 1782, 610, 606, 2002, 532, 269, 634, 1101, 4704, 538, 519, 6196, 11620, 547, 1973, 630, 19606, 476, 275, 281, 1015, 3738, 568, 27461, 267, 855, 3810, 3879, 13577, 540, 519, 3325, 1370, 658, 4250, 28955, 2390, 519, 17766, 540, 1973, 543, 519, 1101, 3450, 3823, 621, 563, 763, 678, 924, 540, 4931, 17800, 568, 606, 6196, 11620, 1106, 540, 1973, 16008, 269, 18766, 689, 519, 21483, 7254, 3202, 2956, 540, 519, 957, 568, 519, 4514, 2495, 538, 519, 10661, 540, 513, 6125, 540, 11505, 1063, 519, 835, 2390, 7247, 519, 957, 568, 5340, 543, 23968, 933, 327, 13924, 1345, 269, 769, 1931, 602, 14062, 1522, 1831, 834, 1492, 3659, 540, 2696, 257, 646, 729, 26017, 602, 646, 1058, 581, 4931, 322, 2213, 607, 513, 18351, 540, 519, 26315, 1063, 1864, 543, 2696, 630, 19606, 476, 1704, 281, 1015, 268, 1556, 282, 1294, 8562, 636, 17800, 30155, 2005, 568, 1713, 602, 519, 4189, 540, 1973, 729, 19275, 538, 9998, 6426, 2053, 630, 19606, 476, 280, 281, 275, 15426, 634, 2688, 4440, 7173, 9229, 1851, 3002, 1156, 6082, 607, 513, 3909, 678, 924, 630, 4818, 732, 25360, 332, 476, 1626, 281, 275, 15426, 901, 543, 922, 796, 1506, 8162, 545, 3310, 1927, 8969, 1652, 3366, 547, 922, 4742, 9184, 5622, 269, 634, 1482, 29611, 729, 1500, 896, 519, 631, 6242, 545, 3009, 630, 2274, 10903, 16307, 476, 278, 281, 2918, 282, 1294, 15762, 337, 12715, 30155, 26108, 729, 26017, 547, 581, 1031, 849, 585, 22729, 610, 585, 30060, 26349, 630, 2274, 10903, 16307, 476, 1691, 281, 276, 268, 278, 2073, 2274, 10903, 16307, 476, 1691, 281, 7906, 2073, 2274, 10903, 16307, 476, 1691, 281, 7367, 282, 10606, 476, 866, 281, 275, 16532, 3177, 267, 2705, 267, 602, 621, 581, 3144, 689, 513, 2973, 3662, 630, 5408, 8830, 2305, 30155, 1103, 782, 5506, 972, 568, 1100, 10250, 540, 519, 22530, 25875, 946, 540, 1973, 538, 519, 6196, 11620, 267, 8259, 829, 577, 766, 538, 476, 272, 18301, 476, 2420, 281, 4343, 630, 5408, 24872, 532, 3738, 282, 855, 10876, 621, 568, 642, 6479, 609, 26349, 267, 1163, 328, 2218, 267, 543, 3325, 1370, 569, 12572, 7907, 563, 274, 269, 1715, 11620, 17546, 902, 454, 2026, 538, 519, 5912, 689, 3504, 547, 12355, 2259, 267, 865, 689, 519, 6196, 11620, 547, 519, 1715, 11620, 649, 1294, 606, 608, 5306, 566, 540, 519, 17748, 540, 1973, 543, 1973, 18428, 269, 769, 14062, 781, 26315, 1010, 1378, 1973, 1185, 547, 581, 8774, 269, 13536, 606, 1163, 328, 2218, 3662, 729, 547, 8774, 1973, 630, 2274, 10903, 16307, 476, 276, 281, 277, 282, 1294, 2311, 821, 618, 16532, 855, 972, 1590, 2141, 581, 513, 17766, 540, 1973, 269, 834, 30509, 689, 17766, 540, 1973, 972, 568, 1100, 1121, 2153, 257, 630, 1261, 3691, 9749, 476, 280, 281, 2420, 15426, 634, 608, 5306, 566, 543, 14064, 4328 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 269, 1879, 6990, 616, 13087, 267, 543, 519, 1533, 568, 1031, 607, 606, 6304, 538, 1797, 540, 3454, 538, 1931, 547, 12954, 4616, 269, 1452, 4507, 6861, 7607, 543, 20656, 630, 24841, 543, 32632, 476, 12208, 1916, 10468, 565, 28515, 1143, 543, 3223, 2106, 14198, 4507, 267, 585, 713, 2601, 267, 3112, 6474, 16851, 538, 2804, 2359, 282, 585, 713, 2601, 267, 7182, 519, 2344, 689, 8757, 922, 2407, 1761, 269, 5131, 13055, 267, 593, 519, 824, 1688, 267, 1568, 593, 519, 2344, 13829, 267, 543, 538, 2490, 713, 3609, 2306, 1259, 585, 7607, 543, 7443, 1818, 269, 634, 2344, 267, 585, 713, 2601, 267, 1568, 3854, 2065, 1256, 1498, 621, 814, 922, 2042, 269, 1280, 713, 2601, 267, 16851, 1568, 1655, 609, 519, 2959, 543, 519, 6800, 267, 855, 568, 1869, 606, 4830, 9872, 602, 666, 2014, 1390, 2530, 952, 1852, 568, 22466, 538, 621, 563, 24841, 267, 31130, 631, 267, 543, 32632, 24686, 23936, 269, 634, 31130, 2725, 328, 802, 1231, 8381, 24153, 269, 2274, 16582, 281, 5696, 650, 267, 476, 1001, 273, 563, 8923, 3314, 602, 713, 1957, 568, 1930, 14092, 947, 543, 824, 1053, 666, 946, 621, 1932, 563, 2252, 596, 991, 606, 3312, 1957, 2813, 14311, 585, 596, 267, 16926, 835, 540, 938, 13085, 5830, 2336, 268, 7433, 27752, 454, 268, 3503, 3733, 7433, 1280, 2725, 454, 268, 7433, 5675, 6435, 454, 268, 16179, 589, 3194, 7433, 454, 268, 4258, 777, 3194, 14430, 1280, 22312, 454, 268, 9796, 1280, 589, 3194, 7433, 454, 268, 5441, 4828, 5675, 7896, 454, 268, 5441, 10749, 1280, 22312, 454, 268, 3503, 3733, 5441, 4828, 454, 268, 9796, 1280, 1323, 4828, 454, 268, 3194, 7433, 15503, 454, 268, 1684, 3733, 14581, 1280, 2725, 454, 268, 16179, 5441, 10749, 454, 268, 1684, 3733, 4828, 1280, 2725, 454, 268, 3503, 3733, 4828, 1280, 2725, 454, 268, 4258, 777, 4828, 27752, 454, 268, 21261, 894, 4828, 27752, 454, 268, 16179, 1323, 4828, 454, 268, 4828, 5675, 6435, 454, 268, 5441, 4828, 5675, 6435, 454, 268, 11426, 4828, 5675, 454, 268, 8865, 5530, 5675, 7896, 454, 268, 8865, 5530, 5675, 6435, 454, 268, 4828, 5675, 6796 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 24058, 11226, 1107, 1374, 543, 1826, 454, 4504, 18166, 519, 3308, 454, 10498, 269, 2913, 779, 1491, 513, 1413, 693, 6693, 296, 723, 513, 11413, 547, 1397, 596, 563, 763, 1101, 1315, 2034, 1315, 1985, 1315, 3803, 13472, 568, 6693, 13425, 609, 519, 5304, 454, 3674, 602, 2312, 585, 3025, 888, 3674, 602, 538, 1445, 888, 4692, 16764, 1294, 602, 888, 30547, 540, 519, 3308, 454, 1607, 2982, 1315, 14550, 1315, 9727, 1315, 4016, 547, 6693, 1607, 568, 513, 3113, 799, 2982, 6693, 2026, 596, 666, 1294, 267, 713, 568, 6693, 2080, 649, 666, 1294, 6693, 296, 8910, 899, 547, 2721, 707, 3007, 547, 6693, 3080, 540, 519, 1034, 1271, 3344, 540, 713, 568, 6693, 4263, 1101, 16145, 621, 4667, 2560, 855, 6693, 3963, 513, 3308, 5351, 888, 11947, 7547, 1883, 2798, 454, 13900, 1186, 519, 1459, 518, 454, 8967, 582, 2638, 1107, 23877, 454, 6701, 10259, 543, 8239, 2953, 888, 3674, 4484, 532, 2312, 888, 3674, 519, 11768, 9266, 888, 6701, 519, 15437, 15095, 13045, 9989, 621, 5968, 610, 16297, 888, 13911, 540, 3308, 454, 272, 269, 7412, 3113, 912, 6440, 26432, 7852, 454, 6440, 20348, 1899, 454, 6440, 7935, 5287, 1899, 454, 6440, 29961, 1540, 1899, 454, 6440, 21222, 7267, 7852, 454, 273, 10422, 1112, 999, 543, 7515, 912, 6440, 10046, 5750, 454, 6440, 14502, 14745, 454, 6440, 4446, 5750, 454, 6440, 26629, 5750, 454, 6440, 16514, 18753, 12810, 454, 274, 269, 16811, 543, 1604, 912, 6440, 589, 4604, 454, 6440, 674, 3881, 4050, 454, 6440, 589, 3043, 4604, 454, 6440, 589, 1225, 1555, 454, 6440, 589, 16212, 5750, 454, 6440, 589, 3381, 6345, 454, 6440, 589, 22101, 8291, 2594, 518, 454, 6440, 589, 13472, 454, 6440, 589, 24072, 454, 6440, 589, 28416, 454, 6440, 589, 13472, 1788, 528, 454, 6440, 1323, 16841, 1788, 528, 1315, 606, 744, 27426, 454, 6440, 589, 30453, 454, 6440, 589, 11413, 454, 1607, 5949, 1317, 6693, 1607, 729, 513, 1267, 540, 6693, 3383, 2560, 270, 4475, 2560, 563, 1607, 786, 1267, 538, 6693, 1607, 786, 1291, 547, 6693, 3519, 8019, 2560, 270, 1306, 513, 1267, 6693, 28694, 1893, 1107, 1373, 10388, 454, 300, 2255, 707, 5920, 547, 5304, 6788, 454, 14611, 1555, 3750, 3346, 454, 8196, 2318, 11132, 7215, 1107, 12837, 454, 31161, 547, 1711, 1719, 454, 8196, 3946, 547, 1711, 1764, 609, 23972, 454, 15307, 28344, 513, 8746, 14302, 543, 18879, 454, 8620, 513, 2318, 10182, 1107, 581, 17159, 543, 25981, 454, 296, 2303, 602, 649, 2560, 3733, 19583, 568, 602, 649, 6693, 296, 4363, 602, 649, 2560, 3733, 16252, 568, 602, 649, 6693, 296, 15974, 602, 649, 2560, 3733, 11556, 568, 602, 649, 6693, 763, 3017, 1063, 2560, 543, 2560, 568, 11999, 563, 1432, 616, 519, 5383, 543, 11393, 540, 2560, 888, 4002, 519, 835, 1688, 2560, 270, 2201, 519, 824, 1688, 6693, 1607, 568, 2484, 9120, 547, 2560, 270, 1732, 982, 6693, 2171, 723, 1100, 3903, 563, 2252, 649, 1810, 1406, 2560, 1287, 649, 786, 1294, 6693, 292, 2416, 649, 2560, 610, 6693, 21156, 540, 2560, 649, 1223, 6693, 10468, 23018, 5288, 2375, 633, 1913, 454, 2005, 568, 19408, 269, 898, 568, 5010, 11980, 563, 1607, 949, 581, 513, 1966, 269, 901, 786, 1291, 547, 14784, 563, 2171, 2154, 713, 269, 901, 568, 606, 6207, 1590, 563, 5278, 786, 29153, 269, 1703, 786, 581, 513, 678, 3999, 563, 306, 599, 621, 1614, 2053, 256, 825, 454, 1607, 1007, 1587, 568, 5488, 267, 14949, 543, 811, 3608, 563, 22322, 1607, 18261, 568, 7874, 267, 6075, 25700, 543, 1985, 7450, 2336, 256, 19809, 9133, 454, 20797, 519, 4367, 2394, 621, 568, 3501, 269, 1411, 991, 547, 18609, 707, 5304, 538, 519, 1101, 24239, 7643, 2336, 10144, 723, 1114, 14379, 6163, 269, 4197, 875, 596, 5968, 568, 1271, 547, 2087, 707, 6881, 4058, 543, 2773, 269, 6333, 707, 1378, 2511, 676, 6998, 3054, 519, 2055, 538, 519, 3349, 2630, 269, 5457, 1107, 972, 568, 1100, 1318, 610, 4636, 855, 596, 1058, 723, 513, 7059, 1935, 563, 347, 9442, 3815, 454, 1475, 9608, 9043, 454, 347, 3590, 1738, 5288, 17667, 454, 1475, 1924, 596, 4782, 11295, 14245, 547, 513, 811, 5214, 2511, 888, 347, 31131, 5288, 22252, 531, 454, 1475, 1684, 596, 4782, 6101, 1893, 267, 10571, 267, 14302, 547, 606, 13016, 1935, 888, 347, 1849, 2216, 5288, 7046, 454, 1475, 1684, 596, 1533, 5013, 610, 2307, 2055, 543, 1865, 4267, 888, 347, 13216, 5288, 11822, 454, 1475, 1684, 596, 2972, 538, 3829, 2079, 610, 14379, 3274, 543, 7561, 888, 347, 2506, 874, 1738, 5288, 4039, 1314, 539, 454, 1475, 1684, 596, 4043, 547, 936, 8063, 543, 21179, 622, 610, 1175, 13404, 593, 519, 5013, 888, 347, 12833, 9407, 5288, 6764, 5966, 454, 1475, 1684, 596, 4497, 14156, 609, 707, 6881, 1641, 610, 2611, 1033, 3737, 888, 3086, 4983, 930, 540, 519, 2081, 538, 799, 3604, 538, 14379, 2511, 14377, 883, 3604, 538, 519, 1893, 799, 649, 946, 563, 16521, 1063, 1106, 1275, 543, 1217, 1275, 454, 293, 5436, 1912, 29320, 22252, 531, 1912, 29320, 454, 14187, 6640, 21031, 543, 9543, 5443, 2560, 5288, 28982, 267, 3025, 6693, 4002, 15773, 540, 2560, 949, 594, 10950, 596, 547, 2560, 5288, 8729, 585, 4947, 563, 2252, 594, 949, 267, 594, 8910, 1631, 899, 547, 1847, 593, 547, 2560, 5288, 9406, 269, 19627, 267, 6693, 2252, 596, 723, 1022, 2055, 267, 1745, 1863, 2560, 5288, 3807, 14443, 609, 2055, 563, 293, 5436, 18500, 22252, 531, 18500, 454, 306, 1389, 723, 16626, 269, 5288, 19833, 723, 13603, 909, 563, 2171, 786, 10536, 519, 2754, 4166, 269, 5288, 1284, 786, 4444, 621, 4166, 563, 2171, 13498, 621, 8335, 269, 5288, 1284, 1294, 621, 8335, 563, 2171, 1590, 8415, 938, 16169, 269, 5288, 1284, 1590, 946, 938, 16169, 563, 25911, 766, 2123, 1996, 791, 5966, 454, 307, 1619, 10426, 633, 1107, 6764, 5966, 15765, 1107, 9608, 454, 303, 6974, 2241, 898, 568, 2219, 594, 1589, 454, 303, 6974, 6024, 898, 568, 1373, 8947, 1284, 616, 6313, 454, 303, 6974, 3501, 898, 814, 1044, 10645, 1323, 4274, 814, 10645, 454, 303, 770, 2241, 898, 729, 11231, 594, 11231, 621, 563, 31306, 901, 786, 581, 6743, 693, 2663, 269, 594, 786, 1413, 693, 713, 2663, 563, 274, 269, 18696, 2048, 560, 908, 685, 1996, 2048, 23896, 532, 20371, 2005, 568, 2312, 602, 2560, 5288, 14348, 596, 3858, 602, 2560, 888, 296, 1810, 1406, 1589, 602, 2560, 5288, 1684, 596, 1589, 602, 2560, 888, 2171, 1590, 2560, 5288, 1772, 972, 1022, 1259, 547, 2560, 888, 275, 269, 18696, 2048, 655, 874, 1738, 685, 1996, 2048, 7758, 1314, 539, 20371, 1607, 568, 513, 2731, 2462, 1966, 5288, 901, 568, 513, 13581, 5855, 454, 1607, 568, 513, 31685, 5288, 901, 949, 2014, 513, 1966, 454, 296, 993, 18617, 2560, 5288, 594, 4043, 547, 1589, 602, 6693, 30696, 593, 707, 9342, 563, 13480, 593, 707, 12755, 563, 5141, 3151, 513, 6881, 454, 14294, 16226, 519, 1439, 454, 10498, 269, 2334, 6770, 803, 547, 519, 1439, 540, 1250, 6881, 563, 14738, 269, 2334, 6227, 3388, 594, 4941, 547, 2161, 827, 6693, 3383, 267, 602, 779, 782, 594, 723, 547, 2161, 563, 2414, 2040, 909, 1287, 267, 6693, 1103, 5618, 267, 6693, 6524, 594, 9096, 267, 1577, 803, 1175, 979, 936, 6693, 2252, 594, 666, 13713, 17412, 267, 6693, 2414, 9959, 267, 594, 8910, 899, 547, 2161, 602, 6693, 296, 8910, 899, 547, 9096, 676, 6031, 6693, 1103, 3932, 267, 6693, 2005, 4667, 547, 803, 267, 1287, 267, 602, 649, 1058, 6693, 296, 1131, 4061, 4363, 1315, 18973, 602, 6693, 296, 723, 5423, 930, 1688, 8083, 799, 594, 786, 1780, 5180, 563, 296, 3580, 2285, 596, 1250, 552, 17733, 2232, 538, 2013, 596, 1616, 547, 1246, 909, 1945, 594, 1767, 563, 14188, 596, 585, 6947, 865, 18906, 1947, 563, 14188, 596, 585, 707, 3007, 563, 296, 4126, 602, 713, 814, 1044, 3730, 563, 296, 8910, 581, 19914, 547, 2626, 1022, 2055, 563, 3383, 267, 798, 596, 723, 1022, 2055, 888, 6701, 972, 1022, 2055, 888, 10498, 269, 594, 1589, 602, 6770, 803, 547, 519, 1439, 540, 519, 6881, 269, 3657, 972, 1022, 2055, 888, 8133, 267, 519, 9543, 2006, 1315, 14799, 9361, 972, 269, 1496, 9557, 2639, 256, 19809, 9133, 454, 7093, 6768, 4267, 547, 2055, 799, 596, 2503, 563, 26524, 585, 519, 1459, 518, 454, 6701, 596, 6031, 602, 2560, 888, 1432, 1705, 596, 1611, 950, 596, 1767, 2560, 888, 27745, 596, 2161, 513, 2370, 3787, 811, 827, 2560, 888, 27745, 596, 979, 936, 602, 1586, 267, 5225, 286, 898, 7012, 1406, 1360, 2312, 585, 803, 563, 10673, 1406, 596, 1589, 602, 2560, 888, 6546, 779, 513, 1434, 1315, 2352, 1315, 1950, 1315, 606, 4277, 2243, 563, 14188, 596, 585, 6998, 602, 2243, 563, 296, 6557, 19914, 2576, 4280, 602, 2243, 269, 898, 2636, 803, 547, 2161, 6693, 13425, 707, 2626, 454, 9989, 602, 2626, 707, 2243, 286, 1315, 1772, 602, 15528, 888, 3674, 602, 2312, 1631, 286, 1315, 2052, 649, 1847, 593, 888, 2252, 594, 1174, 596, 7157, 267, 596, 1616, 547, 917, 6693, 2791, 2461, 6998, 803, 827, 2560, 1772, 602, 1318, 888, 28989, 267, 594, 4769, 1406, 1246, 1315, 6952, 519, 2243, 563, 27745, 596, 10956, 585, 803, 267, 5225, 888, 1103, 824, 1913, 267, 596, 2461, 6998, 6693, 2026, 594, 1767, 4505, 267, 538, 519, 1101, 3296, 270, 693, 519, 1439, 540, 519, 2034, 3296, 6693, 8133, 267, 594, 5018, 538, 519, 4367, 6693, 296, 3398, 602, 269, 1315, 2334, 779, 513, 4023, 1448, 269, 1315, 594, 3858, 609, 1018, 596, 2461, 6031, 563, 10000, 547, 513, 1448, 267, 594, 3858, 563, 8269, 518, 2590, 1394, 547, 519, 6881, 454, 2026, 594, 1767, 1315, 11329, 856, 1315, 6045, 4505, 267, 6693, 296, 1589, 1315, 2907, 1500, 621, 2312, 602, 6693, 296, 6557, 12922, 594, 666, 1406, 2731, 2626, 602, 563, 6546, 779, 711, 2731, 1250, 1858, 1315, 2361, 267, 594, 6557, 12922, 563, 296, 1810, 1406, 723, 519, 5515, 609, 803, 563, 296, 6557, 12922, 602, 2243, 4422, 3564, 519, 1641, 540, 2221, 779, 6881, 563, 296, 6557, 12922, 602, 779, 14804, 269, 1315, 594, 6557, 711, 693, 15698, 547, 2285, 596, 602, 1344, 563, 296, 8910, 581, 19914, 547, 1865, 602, 609, 596, 13948, 1310, 519, 6881, 563, 296, 8910, 581, 19914, 547, 1865, 602, 609, 596, 13948, 1310, 519, 6881, 563, 307, 12447, 1107, 13059, 513, 2243, 454, 11039, 267, 1577, 803, 2307, 596, 519, 1482, 2243, 563, 10498, 269, 2913, 803, 2307, 596, 513, 2243, 563, 296, 666, 2626, 602, 676, 6998, 596, 513, 2243, 563, 11039, 267, 602, 5673, 593, 1018, 596, 1611, 676, 6693, 11039, 267, 621, 779, 513, 1360, 7294, 2339, 6693, 11039, 267, 972, 616, 1585, 2081, 540, 3168, 693, 621, 563, 303, 6974, 532, 693, 513, 16145, 454, 14187, 6640, 269, 8080, 547, 2560, 630, 294, 22901, 264, 9890, 3733, 2012, 568, 2560, 630, 4504, 28558, 3054, 264, 20681, 634, 6662, 540, 1250, 6881, 2221, 568, 2560, 630, 13750, 6662, 264, 9890, 594, 4076, 5258, 519, 2911, 883, 2947, 6810, 2560, 630, 11073, 1467, 2497, 264, 9890, 594, 786, 1491, 476, 1428, 3764, 269, 630, 20755, 532, 264, 20681, 18461, 1863, 547, 14443, 269, 630, 26524, 264, 9890, 15528, 269, 1677, 2253, 594, 779, 899, 547, 1413, 693, 2560, 630, 29791, 994, 3383, 267, 519, 1101, 851, 540, 1250, 6881, 568, 2560, 630, 8512, 835, 264, 9890, 1924, 267, 602, 779, 782, 594, 723, 547, 2161, 593, 519, 1101, 1448, 269, 7102, 2055, 593, 602, 286, 630, 743, 3151, 1101, 851, 264, 9890, 15528, 267, 1577, 779, 1847, 593, 547, 519, 2034, 3296, 799, 594, 723, 1572, 2560, 630, 28926, 2287, 851, 1079, 264, 9890, 1703, 616, 1079, 2055, 547, 1413, 693, 1934, 281, 1101, 569, 2560, 630, 306, 3225, 9760, 264, 9890, 15528, 269, 2334, 779, 3388, 593, 3487, 5565, 269, 594, 786, 1631, 1847, 593, 547, 3487, 8422, 269, 630, 5141, 3151, 1315, 3001, 593, 264, 9890, 3371, 267, 594, 1131, 899, 547, 5031, 1079, 3688, 269, 630, 11947, 2775, 532, 264, 9890, 607, 596, 666, 1294, 593, 713, 5750, 2560, 630, 8794, 513, 3308, 264, 9890, 594, 1131, 2303, 2560, 630, 27775, 2056, 264, 9890, 16393, 594, 2007, 816, 585, 513, 2034, 286, 630, 14707, 7675, 264, 9890, 2913, 803, 1631, 2132, 547, 2560, 630, 14303, 9506, 264, 9890, 15528, 267, 602, 779, 782, 594, 4941, 547, 2161, 593, 3487, 8422, 269, 630, 5141, 3151, 994, 6546, 6770, 803, 547, 519, 1439, 540, 1250, 6881, 269, 630, 14294 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 269, 9406, 865, 269, 9747, 267, 4357, 3959, 568, 513, 22662, 262, 17979, 2813, 676, 519, 13780, 563, 22091, 10187, 725, 949, 1152, 581, 1500, 950, 972, 568, 513, 1857, 10626, 2014, 563, 763, 3557, 786, 2141, 723, 519, 1318, 547, 20818, 593, 4357, 3959, 10148, 9598, 730, 676, 834, 21504, 1719, 2668, 14348, 9493, 2220, 958, 713, 538, 513, 8792, 1631, 286, 763, 3557, 786, 849, 10038, 519, 21979, 262, 14226, 540, 2067, 2200, 1759, 593, 1514, 2640, 543, 519, 3160, 3892, 540, 5763, 269, 634, 1533, 568, 849, 3743, 585, 5726, 543, 8733, 9270, 563, 5472, 2067, 2200, 538, 3084, 8513, 616, 3959, 540, 519, 22662, 262, 4182, 267, 543, 4357, 14226, 949, 1152, 581, 5645, 856, 998, 598, 947, 687, 563, 301, 13086, 4492, 949, 1152, 581, 23699, 543, 1031, 676, 519, 22699, 262, 3557, 269, 634, 946, 540, 17437, 2609, 538, 519, 13780, 949, 1152, 723, 12560, 5301, 630, 328, 4318, 1421, 6792, 3112, 1628, 6046, 9604, 1916, 1607, 2376, 849, 9388, 609, 824, 11029, 2906, 593, 1018, 13054, 6792, 781, 8513, 563, 20288, 793, 4182, 1023, 3112, 1378, 2244, 1369, 476, 1911, 5998, 540, 519, 22699, 262, 10665, 610, 476, 2004, 5998, 540, 519, 22662, 262, 5032, 282, 2705, 267, 30707, 666, 723, 513, 22699, 262, 6225, 1719, 538, 971, 2244, 998, 513, 13411, 3972, 630, 325, 728, 545, 558, 529, 334, 1070, 1141, 519, 22699, 262, 3656, 9562, 540, 519, 21979, 262, 2244, 568, 4371, 676, 513, 22699, 262, 11204, 2883, 9872, 269, 808, 904, 529, 269, 634, 1152, 26608, 1288, 20534, 844, 320, 1875, 547, 9886, 514, 262, 971, 606, 21979, 262, 6225, 1719, 568, 602, 519, 22662, 262, 4914, 518, 3858, 602, 782, 6927, 8887, 514, 262, 547, 971, 2244, 616, 519, 22699, 262, 12600, 6389, 540, 11204, 10470, 543, 11204, 16278, 267, 543, 602, 538, 782, 2152, 829, 1555, 514, 262, 547, 971, 2244, 267, 519, 22662, 262, 4914, 518, 786, 2932, 586, 518, 812, 610, 9887, 607, 513, 13411, 11204, 267, 543, 7017, 1022, 2152, 818, 529, 514, 262, 689, 741, 1719, 538, 971, 2244, 14311, 998, 11204, 10470, 543, 5238, 269, 634, 23616, 4327, 12343, 540, 513, 5821, 547, 705, 728, 676, 891, 2474, 568, 585, 10623, 8132, 547, 519, 21979, 262, 4182, 540, 741, 4690, 538, 782, 3338, 1141, 519, 4914, 518, 814, 971, 6225, 4690, 563, 6546, 606, 1858, 540, 2244, 693, 519, 22699, 262, 5032, 630, 736, 7397, 689, 519, 21979, 262, 5207, 20352, 1899, 264, 568, 5313, 3959, 602, 3112, 581, 4421, 563, 5472, 30049, 625, 616, 19275, 563, 763, 2127, 540, 519, 22699, 262, 4346, 538, 1463, 1852, 540, 519, 22699, 262, 2229, 267, 971, 607, 2022, 267, 751, 25393, 267, 3282, 543, 922, 16755, 267, 2596, 4620, 10635, 8707, 6080, 267, 14599, 6886, 267, 543, 519, 5108, 540, 5201, 616, 711, 2808, 547, 581, 30049, 625, 563, 763, 3557, 786, 2149, 2127, 540, 10862, 538, 519, 22699, 262, 4346, 267, 971, 607, 9682, 10618, 543, 16456, 338, 563, 763, 13780, 786, 723, 513, 6239, 7813, 609, 519, 22699, 262, 3119, 6662, 540, 605, 2017, 514, 262, 519, 6617, 540, 519, 22662, 262, 3084, 9304, 269, 634, 6239, 7813, 543, 922, 2238, 786, 711, 581, 2808, 30049, 625, 2901, 563, 4462, 687, 543, 4600, 12205, 786, 711, 581, 2808, 30049, 625, 267, 3014, 3440, 256, 2871, 843, 338, 786, 711, 581, 2808, 547, 581, 30049, 625, 950, 741, 3483, 568, 519, 21979, 262, 2804, 7862, 540, 519, 21979, 262, 2872, 267, 607, 1279, 607, 519, 1368, 843, 568, 13327, 523, 676, 519, 8549, 6554, 563, 290, 4878, 23412, 543, 24977, 786, 711, 581, 2808, 30049, 625, 563, 24281, 519, 22699, 262, 2013, 540, 606, 12289, 267, 606, 21979, 262, 3978, 7519, 540, 1857, 4708, 610, 1022, 2680, 602, 12662, 2486, 538, 8594, 610, 4655, 267, 1152, 519, 5518, 540, 519, 2136, 11204, 2276, 267, 538, 13076, 609, 519, 21979, 262, 10555, 2456, 540, 3557, 543, 519, 22699, 262, 4937, 30374, 540, 519, 22662, 262, 6243, 267, 543, 609, 13170, 540, 519, 22699, 262, 6837, 540, 519, 21979, 262, 5742, 543, 267, 593, 922, 12424, 525, 267, 519, 22699, 262, 32719, 550, 8189, 267, 949, 7080, 754, 538, 782, 519, 22662, 262, 2197, 610, 538, 513, 1808, 1747, 1022, 10018, 799, 941, 606, 21677, 547, 3068, 3533, 543, 3362, 519, 21979, 262, 3510, 282, 855, 519, 7022, 4927, 1152, 798, 621, 585, 513, 3908, 942, 269, 1403, 519, 21979, 262, 20022, 1185, 1747, 950, 519, 22699, 262, 6837, 568, 10356, 267, 1287, 519, 6837, 786, 9886, 1022, 28431, 602, 621, 632, 2114, 2556, 585, 519, 15445, 547, 3068, 519, 22699, 262, 3510, 4799, 1607, 2376, 14753, 827, 519, 11204, 22874, 563, 1607, 2376, 14753, 827, 13800, 540, 5165, 15092, 563, 257, 300, 1410, 15092, 4927, 723, 10862, 936, 30707, 896, 7862, 540, 6381, 585, 782, 5049, 540, 598, 947, 687, 543, 585, 782, 7694, 267, 7158, 267, 610, 862, 3827, 540, 519, 6554, 538, 799, 519, 21979, 262, 4567, 540, 15114, 568, 711, 16832, 1701, 14579, 619, 267, 11082, 267, 543, 1256, 2067, 1242, 4961, 540, 6792, 949, 711, 4196, 607, 4108, 10492, 267, 11204, 22286, 698, 3022, 6928, 543, 29617, 12284, 267, 610, 8783, 338, 540, 694, 777, 2176, 543, 29032, 563, 10454, 8549, 15445, 4927, 723, 519, 22662, 262, 12600, 1379, 547, 735, 601, 1022, 4914, 518, 4171, 2611, 514, 262, 646, 949, 632, 655, 538, 1410, 6244, 1304, 547, 10205, 519, 21979, 262, 3084, 8513, 5612, 543, 1510, 519, 13766, 540, 3105, 3656, 2962, 1701, 898, 849, 2829, 281, 834, 20288, 793, 619, 949, 711, 538, 1022, 1259, 7119, 538, 519, 22662, 262, 2797, 12602, 540, 519, 21979, 262, 2197, 4799, 13233, 16285, 568, 1655, 15735, 9247, 543, 8385, 2390, 519, 21979, 262, 1004, 269, 2142, 329, 904, 639, 1934, 781, 513, 844, 732, 835, 1318, 1934, 1631, 269, 5272, 1857, 1379, 24283, 689, 519, 22662, 262, 1004, 543, 568, 1128, 21114, 585, 741, 4324, 267, 585, 519, 6159, 545, 269, 634, 1004, 4865, 267, 693, 782, 2053, 267, 519, 21979, 262, 538, 531, 1329, 762, 1318, 547, 7369, 610, 1689, 741, 1106, 540, 2229, 563, 10666, 11204, 22893, 1222, 563, 290, 629, 6839, 10492, 1590, 581, 5165, 15092, 676, 4332, 563, 306, 1575, 3153, 7040, 1175, 1182, 1590, 581, 11204, 676, 4332, 563, 10870, 951, 519, 22662, 262, 2924, 540, 4600, 267, 925, 514, 262, 519, 5216, 16923, 960, 1554, 267, 519, 1318, 547, 10880, 267, 519, 22699, 262, 1318, 547, 513, 1554, 781, 1964, 829, 3018, 267, 543, 519, 22699, 262, 1318, 547, 513, 1697, 967, 655, 333, 2305, 1246, 514, 262, 24407, 1881, 26694, 540, 519, 22662, 262, 960, 514, 262, 2078, 676, 519, 16108, 269, 901, 2376, 849, 3964, 7862, 7488, 540, 5198, 610, 4008, 269, 634, 1893, 540, 519, 8908, 5293, 538, 476, 4489, 278, 11658, 519, 22662, 262, 7694, 540, 2021, 538, 5906, 6080, 610, 538, 960, 1310, 476, 1015, 533, 6230, 5919, 972, 941, 14074, 585, 27514, 8323, 689, 593, 2730, 960, 1614, 3275, 1354, 4332, 543, 835, 3923, 1246, 514, 262, 4332, 267, 607, 1134, 607, 14074, 547, 1450, 7882, 625, 547, 12016, 741, 9002, 563, 20684, 476, 11277, 729, 5310, 519, 22662, 262, 1034, 9097, 540, 519, 22699, 262, 14074, 540, 519, 476, 4489, 278, 9139, 543, 729, 5497, 547, 2285, 519, 22662, 262, 960, 514, 262, 1362, 513, 22699, 262, 8323, 547, 519, 22662, 262, 1082, 28407, 543, 23434, 789, 1185, 5892, 5185, 689, 29252, 4074, 9946, 563, 1805, 919, 602, 5939, 263, 525, 264, 543, 1533, 616, 547, 2611, 5094, 269, 595, 6415, 699, 21266, 594, 2995, 586, 320, 1631, 269, 898, 2488, 585, 519, 22662, 262, 8078, 2218, 1533, 14261, 540, 782, 834, 577, 11699, 543, 3909, 1895, 902, 257, 543, 4025, 513, 22662, 262, 3126, 540, 9993, 593, 20577, 543, 26110, 540, 782, 10764, 630, 514, 601, 580, 1043, 547, 3180, 1857, 5604, 267, 547, 5859, 593, 15773, 540, 2797, 6105, 610, 10457, 267, 547, 27836, 689, 7606, 824, 982, 2673, 1973, 14077, 267, 3092, 28593, 268, 25799, 9297, 454, 268, 3778, 540, 9111, 538, 6792, 454, 268, 4521, 540, 6792, 454, 268, 5903, 540, 1526, 4801, 540, 6792, 454, 268, 15348, 540, 6792, 454, 268, 14329, 11063, 514, 262, 547, 2362, 1876, 454, 268, 2578, 523, 334, 267, 10548, 11252, 594, 269, 717, 262, 9774, 1631, 543, 6432, 547, 713, 530, 534, 269, 630, 272, 5988, 476, 1001, 279, 1040, 9406, 865, 269, 834, 313, 777, 1092, 2746, 643, 5964, 281, 19448, 1471, 18059, 15662, 378, 328, 385, 378, 2131, 10005, 1642, 2578, 523, 9222, 632, 3288, 4790, 15856, 857, 11252, 2580, 596, 917, 3054, 899, 269, 11204, 5525, 27582, 13231, 3930, 11204, 657, 269, 476, 4097, 630, 272, 2567, 476, 3607, 1700, 7830, 269, 22206, 518, 514, 262, 808, 904, 639, 269, 8222, 281, 1015, 269, 13923, 276, 8276, 9895, 269, 1001, 279, 269, 4097, 269, 272, 269, 3607, 267, 519, 695, 924, 24849, 330, 269, 31192, 476, 5881, 275, 273, 268, 280, 8064, 278, 269, 595, 6415, 699, 21266, 594, 2995, 586, 320, 1631, 269, 21444, 689, 519, 22662, 262, 3312, 593, 476, 1724, 4989, 476, 1001, 279, 563, 268, 7826, 2160, 540, 3013, 269, 4906, 12624, 540, 932, 16194, 339, 620, 332, 26663, 269, 1546, 696, 267, 519, 554, 3233, 269, 540, 32588, 4521, 630, 3707, 273, 1040, 634, 29632, 626, 267, 11730, 476, 273, 269, 3427, 540, 32588, 4521, 267, 519, 22662, 262, 7826, 2160, 540, 3013, 269, 1488, 571, 262, 1131, 9493, 6432, 547, 713, 695, 924, 286, 533, 269, 476, 15094, 267, 3014, 3440, 256, 21444, 689, 519, 22699, 262, 3312, 593, 476, 1015, 2904, 476, 1001, 279, 563, 268, 670, 2946, 2758, 3397, 340, 1791, 6682, 27713, 282, 22784, 333, 15605, 2725, 9807, 630, 1960, 274, 1040, 17610, 713, 568, 621, 269, 769, 519, 22699, 262, 14692, 540, 519, 22699, 262, 11204, 4838, 281, 4207, 11204, 1686, 267, 476, 4489, 271, 1700, 2735, 280, 267, 519, 554, 3233, 269, 2160, 540, 7147, 4964, 267, 1917, 528, 19207, 269, 533, 269, 476, 8287, 269, 22206, 518, 514, 262, 808, 904, 639, 269, 9768, 476, 271, 268, 29580, 268, 3583, 275, 7906, 268, 279, 267, 519, 554, 3233, 269, 21444, 689, 519, 3312, 593, 476, 1015, 2904, 476, 1001, 279, 563, 268, 1924, 828, 6951, 22513, 5451, 526, 14162, 267, 21280, 2946, 30511, 267, 6792, 543, 519, 476, 2735, 272, 2136, 8315, 16672, 593, 519, 26332, 1588, 540, 2353, 22553, 540, 2271, 16260, 543, 540, 26521, 9122, 593, 15215, 610, 27801, 21444, 476, 866, 5239, 476, 1001, 273, 693, 519, 22699, 262, 10158, 3724, 10724, 267, 6032, 269, 476, 275, 4391, 1700, 275, 4343, 562, 333, 269, 3371, 781, 513, 844, 732, 835, 269, 476, 278, 1700, 279, 267, 15760, 308, 4521, 5623, 267, 4873, 476, 1220, 273, 454, 268, 6890, 1729, 2349, 4545, 27525, 630, 1960, 274, 1040, 14348, 9493, 2220, 958, 713, 538, 513, 8792, 1631, 8119, 13146, 15448, 538, 5783, 268, 13750, 9534, 538, 6792, 281, 1323, 8466, 13979, 2668, 2142, 329, 904, 639, 1934, 781, 513, 844, 732, 835, 1318, 1934, 1631, 269, 4750, 540, 5783, 1299, 3557, 269, 476, 3374, 630, 275, 1916, 268, 808, 5282, 589, 269, 9406, 865, 269, 966, 1173, 553, 630, 1960, 279, 1040, 769, 14619, 1631, 269, 834, 26466, 4520, 540, 15215, 543, 5398, 654, 11208, 538, 6792, 281, 589, 13751, 19410, 776, 593, 519, 476, 1960, 273, 8549, 2920, 593, 16241, 25198, 2668, 15760, 308, 4521, 5623, 630, 273, 2567, 476, 275, 2641, 1700, 4366, 272, 269, 21444, 689, 519, 3312, 593, 476, 1240, 5988, 476, 1001, 276, 563, 268, 808, 5282, 589, 269, 966, 1173, 553, 630, 1960, 277, 1040, 834, 300, 1410, 4815, 781, 13751, 7169, 281, 1323, 2561, 26150, 540, 4706, 10765, 25799, 15448, 267, 476, 2735, 279, 1700, 1960, 276, 2668, 22206, 518, 514, 262, 808, 904, 639, 6432, 547, 713, 269, 11908, 4750, 540, 4139, 543, 22414, 4521, 267, 5127, 611, 269, 476, 1839, 281, 476, 5392, 278, 1700, 4649, 280, 269, 808, 30510, 269, 21444, 689, 519, 22699, 262, 3312, 593, 476, 275, 4728, 476, 1001, 277, 563, 268, 26548, 16037, 670, 1716, 5451, 526, 14162, 268, 2690, 322, 3385, 630, 1220, 273, 1040, 834, 763, 6356, 540, 4139, 6164, 625, 593, 16241, 15213, 538, 6792, 2580, 865, 621, 568, 269, 15760, 308, 700, 267, 602, 781, 18979, 1631, 1018, 286, 4860, 269, 595 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 589, 5614, 666, 581, 21401, 676, 16304, 13999, 593, 621, 269, 6904, 540, 519, 1739, 568, 3020, 888, 6097, 547, 13053, 781, 3791, 1876, 540, 5163, 267, 952, 519, 2527, 12662, 513, 3196, 593, 519, 5614, 267, 519, 5614, 1590, 581, 8380, 513, 3196, 593, 519, 2527, 454, 279, 269, 674, 9689, 23099, 2483, 293, 9689, 568, 513, 3196, 454, 280, 269, 6904, 540, 519, 1739, 6898, 827, 7059, 4229, 568, 10691, 3020, 888, 1607, 568, 13053, 781, 3791, 1876, 540, 5163, 454, 1015, 269, 2201, 18347, 267, 476, 272, 11899, 22179, 5111, 476, 1839, 1007, 27971, 269, 1548, 1131, 581, 519, 2597, 540, 476, 1911, 326, 888, 1911, 326, 815, 476, 271, 269, 272, 11899, 267, 476, 271, 269, 272, 11899, 22179, 476, 271, 269, 272, 1535, 476, 1839, 815, 476, 273, 269, 276, 301, 269, 634, 2597, 540, 606, 1843, 5673, 593, 519, 3196, 540, 8904, 602, 568, 9117, 593, 621, 269, 634, 9855, 814, 513, 8904, 540, 827, 835, 15795, 540, 602, 540, 519, 3047, 267, 865, 476, 272, 11899, 1131, 9260, 513, 2603, 1447, 982, 593, 519, 3047, 267, 15029, 593, 519, 4541, 18347, 267, 621, 1131, 9260, 513, 2603, 811, 607, 519, 3196, 540, 8904, 972, 568, 3677, 692, 5226, 714, 3054, 15931, 910, 476, 274, 1863, 17118, 538, 1169, 3296, 0, 258, 1401, 4624, 10025, 543, 7352, 766, 3848, 476, 277, 476, 277, 269, 272, 1401, 4624, 10025, 540, 2598, 4740, 15932, 25159, 692, 3499, 6637, 476, 277, 454, 2750, 4624, 10025, 543, 7352, 766, 454, 277, 269, 272, 454, 2750, 4624, 10025, 540, 2598, 4740, 15932, 25159, 454, 2691, 513, 1804, 4015, 540, 2338, 568, 19632, 267, 607, 538, 513, 14829, 267, 649, 616, 2356, 454, 15517, 539, 711, 538, 519, 1367, 2338, 267, 855, 2864, 538, 1978, 10855, 9424, 454, 7945, 607, 519, 3328, 610, 519, 11667, 269, 769, 2489, 267, 519, 1482, 568, 3020, 585, 519, 5506, 454, 23251, 9084, 540, 513, 6746, 1227, 29705, 4240, 4351, 4756, 269, 769, 713, 543, 538, 519, 1985, 3296, 2676, 933, 4927, 1865, 1079, 971, 10855, 9424, 281, 519, 4397, 1871, 543, 519, 13065, 563, 13828, 540, 891, 9424, 4019, 1152, 547, 6746, 1227, 29705, 4240, 4351, 4632, 267, 543, 865, 454, 933, 8263, 267, 538, 891, 6810, 267, 602, 782, 4351, 4632, 723, 10230, 2418, 269, 1677, 454, 326, 633, 930, 16022, 24134, 585, 938, 4214, 267, 649, 2015, 519, 1739, 3014, 563, 30182, 10025, 454, 288, 5884, 568, 18202, 269, 1403, 606, 9642, 1297, 7140, 909, 267, 649, 3094, 606, 2179, 3160, 547, 713, 1297, 3248, 604, 606, 1256, 1297, 7140, 909, 267, 649, 6336, 606, 2179, 3160, 547, 713, 1297, 269, 1280, 1383, 2676, 604, 513, 1079, 7140, 909, 649, 6336, 476, 273, 267, 543, 952, 513, 1614, 2501, 909, 649, 3094, 476, 274, 269, 1284, 1616, 547, 6430, 952, 454, 10472, 568, 513, 10257, 3014, 547, 1404, 269, 1284, 1101, 2119, 11191, 269, 634, 1982, 12603, 11438, 454, 719, 713, 11191, 563, 763, 1982, 16493, 519, 4908, 543, 519, 3448, 4908, 609, 799, 1142, 454, 719, 2492, 4386, 269, 898, 849, 21410, 519, 3328, 3094, 11789, 269, 1284, 723, 2196, 519, 1982, 454, 13512, 823, 269, 634, 2164, 616, 3254, 538, 7305, 476, 277, 269, 272, 563, 1103, 519, 1101, 2196, 649, 723, 5129, 519, 3014, 476, 1911, 2053, 269, 769, 713, 2196, 938, 3328, 2744, 454, 529, 6567, 269, 6872, 269, 898, 5654, 607, 952, 519, 3014, 568, 30369, 267, 543, 649, 4898, 875, 30369, 621, 454, 516, 958, 568, 269, 1677, 1205, 513, 1732, 2856, 267, 649, 723, 5129, 519, 3014, 476, 1015, 267, 1822, 2053, 269, 769, 713, 2013, 454, 712, 3328, 2744, 568, 6567, 269, 5392, 275, 280, 563, 2171, 4063, 602, 519, 3448, 4908, 540, 1142, 540, 519, 3670, 2009, 4093, 568, 3833, 454, 29148, 547, 519, 5506, 476, 272, 270, 277, 585, 713, 6364, 269, 901, 14687, 547, 938, 4908, 454, 5793, 13133, 566, 540, 5506, 269, 898, 849, 5267, 602, 585, 1360, 1804, 2338, 540, 4249, 2676, 712, 3328, 2744, 1058, 581, 454, 382, 369, 21591, 272, 454, 272, 454, 272, 454, 272, 454, 272, 454, 272, 454, 6629, 273, 454, 266, 274, 454, 6629, 275, 454, 266, 276, 454, 6629, 277, 454, 272, 454, 277, 454, 277, 454, 277, 454, 277, 454, 277, 454, 277, 454, 18597, 454, 26297, 454, 6224, 22790, 476, 277, 269, 12327, 303, 17614, 3633, 966, 3201, 16604, 6730, 966, 2752, 296, 23814, 454, 333, 815, 476, 1911, 454, 293, 15968, 454, 9824, 894, 454, 293, 15968, 454, 1704, 454, 269, 1704, 454, 1704, 454, 269, 1704, 454, 1626, 454, 269, 1626, 454, 1240, 454, 269, 1240, 454, 1626, 454, 269, 1626, 454, 1626, 454, 269, 1626, 454, 310, 15619, 454, 272, 454, 268, 273, 454, 274, 454, 268, 275, 454, 276, 454, 268, 277, 454, 333, 815, 476, 1911, 876, 454, 293, 15968, 454, 9824, 894, 454, 293, 15968, 454, 12739, 272, 454, 269, 12739, 272, 454, 15757, 279, 454, 269, 15757, 279, 454, 14341, 277, 454, 269, 14341, 277, 454, 15433, 277, 454, 269, 15433, 277, 454, 12739, 277, 454, 269, 12739, 277, 454, 14321, 274, 454, 269, 14321, 274, 454, 8368, 476, 277, 269, 272, 281, 14627, 4293, 585, 18062, 3014, 563, 23751, 280, 476, 1321, 454, 274, 454, 6629, 454, 284, 6567, 815, 6567, 269, 276, 4586, 277, 454, 277, 454, 277, 454, 1607, 23216, 3833, 1134, 609, 938, 3328, 2744, 585, 476, 1015, 267, 1822, 4249, 563, 2171, 4063, 602, 519, 1871, 649, 723, 6074, 585, 519, 3328, 2744, 568, 5833, 676, 2921, 454, 1492, 2009, 4093, 267, 14921, 676, 519, 5506, 267, 543, 4946, 519, 2164, 269, 901, 454, 24175, 2248, 338, 519, 1739, 4214, 585, 519, 4397, 6364, 540, 606, 4603, 563, 2750, 4624, 10025, 454, 14240, 476, 277, 269, 272, 2913, 2473, 581, 513, 6746, 1227, 29705, 4240, 15768, 4351, 4756, 609, 3732, 2230, 21508, 355, 543, 3892, 1599, 544, 3287, 1040, 634, 4397, 1871, 661, 11583, 264, 568, 3989, 454, 2421, 454, 311, 454, 292, 11583, 264, 21591, 343, 332, 3287, 264, 31377, 343, 4501, 486, 11433, 355, 454, 25075, 3660, 713, 2040, 4780, 2471, 11613, 269, 1284, 1419, 3277, 547, 519, 4397, 1871, 607, 454, 1492, 1611, 267, 543, 20301, 661, 11583, 264, 676, 18725, 585, 2110, 269, 1403, 519, 1657, 2040, 1281, 711, 27721, 454, 11274, 5193, 569, 267, 1287, 649, 2161, 602, 2473, 1281, 711, 723, 606, 4397, 1871, 563, 273, 454, 7078, 476, 277, 269, 272, 2913, 606, 4603, 2874, 540, 19184, 532, 513, 4023, 11777, 1614, 2053, 269, 2913, 454, 311, 20301, 519, 1297, 540, 9843, 799, 2408, 269, 3973, 519, 2009, 2418, 540, 2473, 616, 454, 271, 267, 476, 272, 267, 476, 273, 543, 476, 274, 269, 634, 7222, 17831, 616, 476, 272, 270, 279, 267, 476, 274, 270, 279, 267, 476, 274, 270, 279, 267, 543, 476, 272, 270, 279, 269, 4935, 267, 519, 454, 1410, 4624, 1871, 540, 2473, 11224, 454, 272, 454, 274, 454, 274, 454, 272, 454, 274, 454, 271, 454, 266, 272, 454, 266, 273, 454, 266, 274, 454, 284, 4586, 279, 454, 279, 454, 279, 454, 279, 454, 273, 454, 30952, 538, 713, 3296, 649, 4927, 1294, 513, 18334, 1259, 547, 12337, 713, 4397, 1871, 2676, 22372, 593, 519, 1249, 602, 2473, 666, 581, 2854, 607, 513, 2040, 540, 12863, 4351, 4632, 269, 476, 273, 454, 7078, 476, 277, 269, 273, 14597, 602, 649, 19184, 513, 4023, 11777, 2394, 513, 2212, 1101, 2501, 909, 267, 543, 1577, 454, 311, 2099, 519, 1297, 540, 19184, 525, 799, 941, 1500, 269, 3973, 519, 2009, 2418, 540, 2473, 454, 732, 476, 272, 267, 476, 273, 267, 1547, 1547, 476, 1421, 543, 519, 3892, 1599, 540, 2473, 568, 3989, 676, 454, 332, 9217, 264, 21591, 272, 454, 563, 273, 328, 454, 277, 269, 272, 269, 12327, 303, 17614, 3633, 966, 3201, 16604, 454, 25375, 454, 263, 1607, 568, 1175, 519, 12166, 3892, 609, 9936, 476, 272, 270, 273, 4700, 4935, 267, 649, 723, 454, 292, 11583, 994, 23751, 31236, 454, 311, 454, 272, 454, 328, 1775, 454, 273, 454, 328, 284, 272, 454, 23751, 31236, 454, 31236, 454, 311, 454, 311, 454, 272, 454, 272, 454, 32504, 266, 5788, 6440, 6440, 454, 328, 454, 273, 454, 273, 328, 454, 328, 284, 272, 454, 328, 284, 273, 454, 23751, 272, 32504, 23751, 273, 563, 272, 454, 272, 454, 266, 5788, 6440, 6440, 454, 32504, 273, 476, 2420, 454, 273, 454, 7078, 476, 277, 269, 274, 630, 7078, 476, 277, 269, 273, 4797, 264, 14597, 602, 649, 16212, 513, 11777, 2394, 513, 2212, 454, 14140, 5526, 267, 543, 952, 519, 1297, 540, 19184, 525, 11224, 562, 267, 1287, 649, 616, 6976, 476, 273, 333, 9489, 563, 1432, 568, 519, 4397, 1871, 540, 519, 8569, 888, 2171, 1577, 962, 2099, 519, 8569, 269, 3973, 2676, 303, 630, 312, 815, 476, 273, 333, 3738, 21591, 272, 454, 2676, 273, 333, 454, 1721, 562, 21759, 476, 272, 269, 4935, 2676, 292, 263, 312, 3738, 21591, 31236, 454, 311, 454, 333, 284, 272, 454, 273, 333, 454, 272, 454, 2676, 273, 333, 454, 6518, 568, 513, 28836, 2040, 269, 4935, 267, 962, 814, 1100, 20772, 269, 901, 1383, 568, 1572, 454, 1492, 853, 269, 22642, 7921, 21537, 2135, 1547, 634, 1249, 602, 519, 1657, 2040, 568, 12808, 5267, 602, 454, 320, 6345, 1058, 581, 8348, 547, 2628, 1022, 6378, 2179, 829, 3014, 585, 519, 17979, 540, 454, 2452, 532, 713, 3014, 269, 634, 5467, 568, 4280, 547, 2015, 875, 1454, 646, 610, 1352, 1131, 581, 454, 342, 3739, 547, 2628, 585, 713, 17979, 269, 898, 568, 12691, 602, 519, 5467, 779, 2626, 568, 811, 982, 454, 1015, 9489, 282, 972, 514, 6013, 519, 19433, 563, 1103, 519, 2038, 1686, 540, 5506, 267, 1585, 22697, 5795, 2081, 547, 8207, 454, 10472, 19433, 269, 2290, 2856, 630, 16746, 547, 717, 269, 15434, 1067, 264, 5161, 540, 14322, 602, 519, 2179, 454, 1993, 2724, 538, 519, 1158, 568, 13113, 269, 1261, 3976, 17648, 602, 972, 568, 930, 6378, 1871, 540, 454, 333, 971, 602, 952, 519, 1297, 540, 19184, 525, 11224, 610, 20489, 562, 267, 519, 8569, 568, 476, 273, 333, 9489, 563, 763, 5467, 568, 4280, 547, 1397, 538, 11644, 476, 736, 602, 519, 4397, 1871, 540, 519, 8569, 454, 529, 1631, 13113, 563, 25405, 1408, 12672, 537, 25651, 543, 15434, 1067, 849, 2808, 1776, 1259, 547, 3651, 1871, 547, 454, 1492, 8569, 269, 4256, 2856, 729, 602, 519, 1871, 540, 513, 8569, 568, 930, 1599, 540, 519, 454, 335, 599, 618, 282, 971, 513, 1599, 568, 1631, 1572, 513, 10626, 1599, 269, 6201, 540, 10257, 454, 583, 1006, 3252, 1522, 1331, 519, 4009, 268, 10174, 1599, 610, 519, 30233, 1599, 563, 1103, 1312, 2665, 267, 519, 1871, 540, 476, 273, 333, 9489, 568, 1447, 982, 7466, 519, 1871, 540, 562, 9489, 269, 898, 454, 4754, 3362, 581, 3254, 602, 538, 1312, 2665, 267, 519, 4397, 10626, 540, 519, 8569, 568, 13113, 454, 263, 5408, 11644, 476, 736, 1916, 273, 454, 25248, 454, 6224, 22790, 476, 277, 269, 12327, 303, 17614, 3633, 966, 3201, 16604, 6730, 966, 2752, 296, 23814, 454, 7078, 476, 277, 269, 275, 2913, 570, 581, 519, 942, 585, 519, 1101, 1967, 538, 513, 12672, 537, 25651, 8062, 1184, 563, 10190, 649, 1491, 607, 3732, 2230, 21508, 355, 519, 9981, 476, 272, 267, 476, 273, 267, 1547, 1547, 1547, 543, 3651, 519, 12166, 454, 23251, 9084, 454, 332, 27203, 264, 815, 623, 630, 307, 815, 795, 264, 815, 7117, 795, 6629, 272, 533, 4586, 13295, 2676, 292, 24867, 12467, 23751, 272, 5788, 533, 1341, 476, 273, 336, 335, 1341, 476, 274, 336, 476, 273, 533, 1341, 5788, 5788, 5788, 454, 284, 533, 263, 272, 1341, 476, 273, 336, 1341, 476, 274, 336, 476, 273, 1341, 5788, 5788, 5788, 264, 4586, 3086, 952, 1923, 343, 347, 2999, 476, 272, 267, 1287, 454, 272, 1341, 1535, 1341, 1535, 273, 1341, 1535, 274, 1341, 5788, 5788, 5788, 21591, 272, 454, 563, 272, 6629, 343, 454, 17843, 11868, 713, 4542, 267, 649, 1205, 454, 272, 1341, 476, 273, 343, 1341, 476, 274, 343, 273, 1341, 5788, 5788, 5788, 21591, 810, 454, 292, 24867, 3738, 21591, 272, 454, 2676, 263, 272, 6567, 1535, 264, 273, 454, 335, 454, 335, 454, 272, 454, 284, 476, 273, 815, 4586, 273, 454, 263, 272, 6567, 7117, 994, 335, 454, 335, 454, 1103 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 538, 2072, 1223, 581, 8499, 1202, 4624, 1247, 856, 20129, 10618, 7283, 7361, 796, 3000, 527, 1819, 1813, 547, 17697, 3972, 8655, 547, 6461, 5344, 3755, 269, 4495, 3330, 267, 17101, 10986, 3622, 10150, 19727, 24071, 3350, 2429, 519, 30810, 540, 519, 3060, 1604, 780, 1607, 1935, 1500, 2631, 538, 606, 5736, 6353, 676, 1134, 20452, 3060, 8728, 543, 5266, 11979, 3593, 5095, 282, 2705, 267, 1896, 2188, 8329, 547, 922, 11761, 3056, 721, 2509, 4244, 2409, 1732, 14018, 585, 2221, 781, 6422, 8916, 269, 7324, 891, 616, 1384, 272, 269, 1160, 331, 604, 3130, 540, 5985, 3457, 281, 2060, 16389, 267, 14342, 267, 543, 24195, 4742, 24819, 2645, 585, 1312, 2123, 543, 3318, 946, 267, 30191, 5812, 3354, 4507, 2968, 5051, 4101, 269, 20305, 1631, 2503, 6024, 1569, 547, 9746, 2200, 7488, 540, 741, 4087, 610, 3926, 1826, 267, 17021, 14461, 829, 12281, 1447, 2500, 563, 273, 269, 22685, 5406, 540, 6531, 2533, 281, 1306, 5018, 4505, 267, 519, 9194, 540, 2565, 1870, 3252, 547, 3791, 18407, 5867, 18799, 3544, 606, 3919, 781, 22402, 13714, 730, 556, 4621, 573, 3130, 540, 3964, 3354, 2853, 10704, 1472, 9013, 3824, 816, 270, 1122, 816, 6808, 8928, 563, 274, 269, 16842, 4908, 543, 30483, 540, 6880, 6937, 281, 5689, 2264, 4589, 11179, 13217, 741, 2553, 267, 29227, 1256, 9583, 5634, 12755, 538, 8878, 6127, 269, 9182, 267, 14322, 1022, 1377, 540, 7915, 3106, 1759, 9003, 593, 513, 3593, 781, 3355, 17452, 3587, 791, 337, 644, 550, 543, 5732, 29070, 563, 275, 269, 27943, 10220, 4170, 281, 4578, 7834, 6042, 8260, 908, 1808, 7829, 5773, 25997, 1082, 3906, 547, 9772, 31749, 1569, 1852, 3800, 10489, 2056, 6671, 15943, 6302, 780, 4322, 13346, 6384, 25967, 1819, 519, 13766, 585, 513, 811, 22537, 543, 11455, 1935, 5827, 540, 5466, 6932, 4220, 2404, 609, 3309, 1439, 9557, 267, 5714, 3060, 10665, 267, 543, 9687, 3463, 10321, 269, 9373, 20023, 11565, 8232, 13718, 2162, 16871, 20023, 11565, 8232, 14362, 692, 313, 3266, 11565, 8232, 4564, 513, 4909, 22576, 689, 2757, 15943, 7266, 878, 25121, 676, 12561, 513, 834, 6866, 3972, 267, 2141, 13182, 257, 14302, 269, 898, 13333, 896, 519, 13429, 602, 1761, 31487, 949, 2907, 2291, 1369, 606, 3919, 781, 3060, 267, 7551, 1073, 341, 11868, 519, 10206, 540, 606, 6207, 1629, 2117, 566, 19459, 11967, 543, 2150, 27434, 10851, 269, 5502, 267, 1169, 11834, 7662, 1765, 597, 637, 8826, 540, 2707, 610, 10278, 1765, 8974, 2998, 525, 11826, 22987, 4180, 3617, 2157, 540, 28431, 267, 8699, 267, 543, 22637, 780, 7659, 28975, 540, 20023, 11565, 8232, 1331, 1384, 268, 2274, 770, 17979, 6240, 281, 16827, 3755, 4882, 26236, 8766, 2556, 27704, 2838, 547, 1685, 11280, 4247, 563, 268, 5843, 572, 326, 7695, 281, 19147, 3677, 3060, 12415, 883, 4130, 3283, 267, 7311, 30704, 3354, 4507, 3358, 547, 1808, 2115, 563, 268, 11638, 29969, 17452, 630, 300, 11902, 2567, 18859, 19027, 9001, 2789, 4830, 19609, 6688, 7393, 22059, 540, 16048, 9163, 563, 268, 23120, 5464, 1299, 15418, 281, 17115, 2708, 1062, 19383, 543, 2623, 3270, 16326, 22114, 22566, 540, 17351, 2534, 780, 3528, 6220, 891, 1655, 2853, 267, 3906, 666, 3648, 2569, 2627, 2127, 7925, 547, 14207, 1247, 8195, 29103, 1359, 2949, 6043, 1996, 10770, 10779, 2456, 269, 5047, 267, 28006, 2476, 689, 9371, 11265, 10148, 6087, 23704, 5610, 609, 6932, 4066, 5935, 14182, 781, 3059, 8134, 780, 1103, 3932, 267, 713, 3184, 3177, 606, 538, 3829, 1413, 693, 519, 11144, 540, 14590, 6272, 4358, 689, 1292, 18134, 1949, 998, 519, 4417, 540, 6531, 7384, 269, 13018, 267, 649, 26819, 539, 519, 1523, 540, 15943, 4027, 10223, 922, 9342, 543, 28919, 1471, 268, 14504, 23724, 4657, 2872, 7569, 269, 7053, 267, 649, 5189, 519, 6138, 3297, 20023, 11565, 8232, 5356, 4030, 883, 922, 4052, 6388, 543, 2640, 6508, 972, 5228, 269, 4329, 1353, 1058, 1445, 593, 10442, 1483, 8996, 11766, 906, 7258, 16198, 540, 1114, 29449, 3435, 22338, 519, 1259, 585, 5483, 3375, 6194, 3157, 3823, 6099, 3354, 2994, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 763, 2063, 8717, 814, 2938, 513, 7096, 6521, 538, 519, 1259, 3906, 2497, 741, 8668, 5121, 269, 7316, 2200, 941, 2899, 9738, 593, 2168, 13763, 4881, 606, 593, 1790, 8145, 2478, 3060, 602, 729, 1152, 3015, 689, 606, 5604, 4087, 267, 2221, 779, 5121, 4749, 6451, 2789, 6531, 3156, 602, 666, 581, 15600, 689, 9170, 609, 606, 4950, 4276, 269, 22647, 960, 814, 849, 7142, 3549, 547, 4228, 1569, 547, 6753, 543, 3457, 3564, 741, 1753, 5604, 269, 634, 991, 547, 2226, 3060, 3354, 538, 891, 27763, 5054, 814, 3366, 547, 1646, 540, 606, 5499, 1007, 4640, 1634, 607, 4642, 3972, 3354, 563, 18128, 6295, 12694, 585, 15536, 9798, 454, 25565, 3060, 6189, 3217, 513, 15943, 2861, 1935, 547, 3354, 269, 589, 3593, 779, 3961, 568, 24019, 950, 789, 1101, 4283, 519, 3060, 267, 855, 2899, 789, 2744, 1569, 267, 789, 3335, 723, 519, 5191, 547, 1847, 2429, 519, 1604, 269, 1403, 606, 3919, 814, 8045, 2582, 1129, 6823, 630, 7704, 302, 1070, 22754, 666, 581, 524, 3737, 543, 4843, 18222, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 8121, 6224, 3951, 17614, 13543, 1315, 8232, 5071, 1315, 32309, 10466, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 7170, 281, 4197, 519, 29515, 2637, 17462, 281, 589, 3004, 11551, 3848, 538, 3778, 692, 7072, 912, 5970, 596, 2479, 4862, 827, 519, 29515, 2637, 17462, 286, 898, 781, 513, 1713, 2680, 602, 5949, 1282, 2622, 2782, 594, 267, 950, 1082, 1004, 4503, 741, 2729, 1813, 547, 7142, 1244, 677, 566, 543, 2527, 6146, 902, 269, 901, 13249, 3184, 7018, 538, 1018, 649, 1631, 917, 607, 2413, 6377, 11894, 543, 3238, 519, 29515, 12102, 2713, 972, 269, 2913, 781, 4685, 4514, 883, 1620, 713, 3140, 2680, 543, 1946, 621, 6927, 1256, 2221, 780, 4089, 476, 272, 281, 5808, 21518, 519, 18433, 2103, 888, 6524, 7234, 519, 21393, 3294, 267, 1577, 781, 1101, 1174, 945, 519, 18433, 2103, 616, 269, 1358, 616, 835, 540, 519, 9510, 4168, 2950, 538, 519, 1158, 267, 609, 5072, 6580, 1394, 5215, 540, 1296, 269, 25214, 267, 18433, 807, 729, 4092, 1063, 2342, 543, 5607, 267, 1818, 873, 15520, 3309, 543, 3638, 269, 4653, 267, 1034, 18433, 2103, 2661, 3544, 540, 18433, 807, 267, 2523, 538, 2477, 899, 6576, 267, 519, 2136, 2276, 267, 5333, 267, 543, 9811, 267, 11894, 1932, 2439, 4089, 476, 273, 281, 1548, 12984, 519, 29515, 2637, 17462, 888, 3086, 602, 649, 917, 945, 519, 18433, 2103, 616, 267, 1577, 781, 2911, 827, 519, 29515, 2637, 17462, 269, 4438, 2622, 2782, 594, 630, 4489, 275, 268, 4489, 279, 1070, 519, 16368, 15349, 2229, 3459, 18928, 13389, 543, 14874, 519, 29515, 2551, 1369, 922, 10665, 269, 1635, 519, 942, 519, 32012, 885, 8694, 267, 1472, 476, 272, 269, 276, 2929, 17608, 2367, 267, 2021, 267, 543, 1453, 1185, 829, 1639, 1813, 547, 5208, 267, 27781, 267, 543, 2068, 269, 3509, 12206, 2015, 891, 2621, 547, 581, 1851, 519, 9998, 8320, 540, 21393, 538, 2413, 1686, 780, 4089, 476, 274, 281, 4208, 9894, 519, 29515, 2637, 17462, 19732, 523, 888, 6624, 2188, 3366, 547, 519, 29515, 2637, 17462, 269, 2290, 1271, 2601, 729, 4250, 543, 27421, 676, 930, 5695, 802, 2509, 18433, 2103, 267, 7247, 789, 9228, 607, 1373, 811, 10121, 547, 4914, 7060, 982, 547, 519, 16368, 7276, 269, 3958, 267, 2797, 13253, 543, 2804, 16132, 5129, 513, 1909, 538, 30740, 23998, 1996, 18441, 971, 607, 519, 18433, 2103, 269, 10251, 267, 891, 1950, 2152, 8507, 538, 14042, 4539, 585, 519, 29515, 1004, 780, 4089, 476, 275, 281, 1215, 13201, 519, 2622, 29594, 539, 547, 519, 29515, 2637, 17462, 888, 8253, 1279, 1310, 519, 27337, 881, 6411, 11200, 539, 267, 3377, 540, 519, 29515, 2637, 17462, 3262, 2066, 519, 8608, 269, 2368, 6082, 267, 3906, 267, 543, 2043, 12038, 856, 1996, 519, 32012, 885, 267, 1247, 1866, 7283, 14980, 269, 6736, 3486, 2604, 267, 519, 15349, 2229, 5170, 547, 20912, 602, 519, 29515, 2637, 17462, 3576, 1747, 1107, 513, 18879, 799, 3788, 11786, 1256, 2221, 269, 1717, 267, 3875, 2477, 267, 1519, 4516, 267, 5125, 267, 7977, 267, 10255, 267, 18335, 267, 6576, 267, 543, 5333, 267, 2059, 609, 1585, 2829, 538, 519, 2475, 267, 13166, 5431, 519, 29515, 2637, 17462, 780, 6962, 912, 8139, 3140, 2621, 899, 519, 29515, 2637, 17462, 2337, 721, 5660, 875, 2484, 8103, 814, 2097, 543, 19595, 721, 540, 938, 7104, 5539, 547, 2149, 1480, 2924, 10876, 269, 1306, 2518, 4961, 267, 1565, 827, 2250, 32333, 666, 8300, 721, 547, 3895, 4708, 267, 6568, 267, 543, 9322, 538, 938, 1378, 2950, 269, 1924, 2141, 3314, 910, 1100, 2339, 707, 4282, 610, 4978, 267, 3025, 19262, 2463, 543, 15683, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 3528, 772, 345, 599, 10089, 583, 2676, 763, 1007, 1153, 1032, 814, 3323, 713, 3923, 538, 11894, 267, 855, 28435, 6929, 10271, 267, 6382, 1634, 607, 5204, 686, 30929, 610, 30634, 1372, 753, 267, 1869, 798, 711, 723, 513, 2582, 3119, 1153, 538, 519, 2197, 1141, 789, 1223, 1451, 741, 5065, 1893, 543, 2528, 563, 763, 594, 30955, 2861, 11356, 3397, 657, 4080, 602, 519, 15628, 540, 519, 5204, 686, 659, 2146, 4294, 547, 519, 12080, 540, 2817, 4065, 538, 476, 1001, 273, 547, 1205, 922, 10479, 543, 1489, 547, 1930, 513, 5204, 686, 659, 9656, 538, 594, 30955, 269, 1879, 741, 3498, 729, 15653, 267, 789, 3576, 593, 513, 3656, 6560, 543, 941, 6368, 2111, 547, 1930, 519, 5651, 661, 325, 8145, 9656, 1510, 1022, 2804, 1489, 689, 519, 2229, 563, 763, 5651, 661, 325, 8145, 9656, 4867, 814, 476, 2004, 1053, 543, 786, 581, 1930, 585, 519, 8772, 19496, 713, 1032, 267, 855, 19890, 267, 972, 568, 711, 513, 5204, 686, 659, 10026, 1153, 538, 594, 30955, 1141, 922, 20021, 1131, 581, 2111, 547, 18934, 563, 763, 7910, 6307, 9147, 5204, 686, 659, 5783, 7690, 538, 519, 2142, 14623, 30322, 1663, 8664, 540, 594, 30955, 568, 1869, 10010, 547, 1930, 513, 5204, 686, 659, 10026, 11634, 5622, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 30265, 523, 1014, 2637, 17462, 257, 607, 851, 540, 834, 19615, 1315, 5664, 5101, 1315, 11894, 1299, 16368, 7276, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 769, 519, 7706, 540, 1239, 2257, 543, 8849, 5121, 267, 2067, 1893, 4393, 630, 301, 10861, 264, 814, 7153, 607, 513, 2629, 1858, 540, 1353, 267, 7175, 6191, 547, 1174, 267, 4612, 267, 543, 5352, 1480, 1893, 269, 589, 1808, 4161, 1369, 713, 2361, 568, 6643, 771, 550, 836, 2211, 1107, 519, 1184, 540, 7114, 3982, 16060, 1369, 6687, 691, 344, 7391, 269, 901, 4480, 5713, 607, 513, 2565, 16861, 3942, 585, 1585, 17187, 28589, 3156, 899, 17187, 2243, 16460, 543, 6643, 9034, 1436, 269, 634, 1739, 6810, 5490, 883, 1234, 9690, 22532, 17978, 630, 305, 13585, 338, 1070, 3226, 5466, 741, 3498, 538, 21365, 6643, 771, 550, 836, 2211, 2042, 780, 2162, 476, 272, 269, 25043, 540, 681, 13585, 338, 692, 4263, 922, 4295, 267, 606, 681, 13585, 666, 581, 9763, 607, 513, 1826, 540, 5841, 8849, 3060, 2966, 4481, 585, 7829, 18615, 3403, 1239, 267, 1818, 873, 3810, 5078, 585, 4247, 5473, 13796, 29444, 267, 942, 3126, 2079, 267, 543, 2067, 1893, 4393, 269, 9521, 2757, 3049, 3453, 8849, 5121, 267, 1141, 11378, 616, 9268, 10446 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 3698, 23356, 2449, 9272, 23919, 267, 562, 2187, 453, 6919, 815, 3403, 23919, 21858, 4590, 453, 29798, 815, 11713, 22610, 2262, 538, 1913, 912, 453, 14851, 7003, 27182, 264, 13843, 562, 912, 4848, 453, 29798, 6834, 1496, 5320, 5157, 281, 328, 266, 333, 316, 585, 1775, 538, 2039, 12759, 27182, 264, 910, 630, 333, 910, 476, 272, 4297, 2639, 453, 453, 19197, 562, 3436, 476, 271, 912, 4848, 453, 29798, 6834, 23356, 2449, 27182, 267, 562, 910, 476, 272, 2020, 16596, 2164, 7531, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 13537, 23356, 2449, 2891, 338, 3415, 1096, 807, 1990, 274, 266, 2580, 476, 273, 264, 0, 258, 3403, 1326, 5332, 13246, 815, 3403, 3488, 921, 848, 2322, 538, 930, 2338, 1862, 5073, 258, 1205, 5332, 13246, 815, 1205, 5332, 13246, 18622, 2897, 263, 3299, 3299, 1412, 5073, 258, 1205, 5332, 13246, 815, 1205, 5332, 13246, 21858, 3488, 30386, 16482, 258, 2698, 815, 476, 271, 454, 16482, 258, 585, 1535, 538, 1205, 5332, 13246, 912, 258, 672, 2698, 815, 2698, 1341, 703, 3287, 994, 16482, 258, 1820, 6025, 4973, 994, 16482, 258, 1205, 5332, 13246, 815, 3403, 3488, 921, 848, 2322, 538, 930, 2338, 1862, 5073, 258, 1205, 5332, 13246, 815, 1205, 5332, 13246, 18622, 2897, 263, 3299, 3299, 1412, 5073, 258, 1205, 5332, 13246, 815, 1205, 5332, 13246, 21858, 3488, 30386, 16482, 258, 2698, 815, 476, 272, 454, 16482, 258, 585, 1535, 538, 1205, 5332, 13246, 912, 258, 672, 2698, 815, 2698, 2608, 703, 3287, 994, 16482, 258, 1820, 6025, 4973, 994, 16482, 258, 2698, 815, 476, 271, 454, 258, 1205, 5332, 13246, 815, 3403, 3488, 921, 848, 2322, 538, 930, 2338, 1862, 5073, 258, 3193, 19571, 815, 476, 271, 454, 16482, 258, 585, 1535, 538, 1205, 5332, 13246, 912, 258, 672, 952, 1535, 3436, 3193, 19571, 912, 258, 1363, 3193, 19571, 815, 1535, 454, 16482, 258, 1205, 5332, 13246, 815, 630, 274, 267, 476, 276, 267, 476, 277, 267, 476, 275, 267, 476, 272, 267, 476, 1911, 267, 476, 280, 994, 258, 1295, 19571, 815, 1205, 5332, 13246, 314, 271, 2639, 16482, 258, 585, 1535, 538, 1205, 5332, 13246, 912, 258, 672, 952, 1535, 2999, 1295, 19571, 912, 258, 1363, 1295, 19571, 815, 1535, 454, 16482, 258, 1820, 263, 2381, 19571, 2020, 338, 13990, 815, 1496, 454, 825, 1496, 9032, 267, 476, 8660, 267, 476, 11011, 16689, 825, 1496, 3199, 267, 476, 5952, 267, 476, 6434, 16689, 825, 1496, 1911, 267, 476, 6795, 267, 476, 3583, 2639, 6540, 1721, 1775, 538, 2039, 12759, 4433, 13990, 15892, 825, 585, 1535, 538, 2039, 12759, 4433, 13990, 5157, 8079, 2187, 1038, 8464, 5157, 6012, 343, 316, 815, 8464, 5157, 6012, 343, 316, 1341, 476, 274, 692, 2745, 4433, 13990, 994, 0, 5228, 4351, 1104, 28219, 842, 692, 3240, 10831, 815, 3403, 3488, 1584, 513, 1297, 1063, 476, 272, 543, 476, 1015, 1862, 5073, 26367, 10831, 815, 28219, 842, 263, 272, 267, 1015, 994, 2745, 3488, 529, 621, 22207, 2780, 10831, 267, 1412, 286, 17210, 24987, 815, 3403, 4590, 1245, 29674, 815, 630, 271, 267, 2020, 6112, 2626, 11203, 1412, 13433, 12466, 825, 2025, 29674, 815, 2025, 29674, 1341, 630, 26367, 10831, 267, 994, 825, 2780, 10831, 815, 28219, 842, 263, 272, 267, 476, 1015, 994, 825, 1247, 2780, 10831, 538, 2025, 29674, 912, 1038, 2780, 10831, 815, 28219, 842, 263, 272, 267, 476, 1015, 994, 825, 1820, 3488, 529, 621, 3299, 2780, 10831, 267, 1412, 286, 10807, 1948, 4754, 7914, 1394, 547, 1101, 1247, 454, 825, 1820, 263, 1245, 29674, 994, 825, 2626, 815, 3403, 10797, 2745, 3488, 9767, 4465, 262, 9239, 0, 1721, 1297, 538, 2039, 263, 271, 267, 476, 4200, 17107, 825, 952, 1297, 4939, 476, 274, 2652, 476, 271, 912, 1038, 1820, 28840, 2020, 12248, 815, 476, 271, 692, 258, 1966, 476, 273, 692, 1721, 1293, 25648, 1255, 538, 2039, 263, 271, 267, 476, 1220, 2187, 825, 952, 1293, 25648, 1255, 4939, 476, 278, 2652, 476, 271, 912, 1038, 1293, 815, 1293, 1341, 476, 272, 692, 2745, 6262, 870, 2020, 258, 1966, 476, 274, 692, 1721, 1535, 538, 2039, 263, 279, 267, 476, 271, 267, 910, 272, 2567, 1948, 2944, 23651, 454, 825, 1820, 9638, 578, 263, 273, 267, 1535, 11723, 258, 2889, 12378, 476, 275, 692, 6343, 11243, 815, 3403, 3488, 8923, 2322, 538, 707, 2012, 17210, 1721, 1775, 538, 1018, 11243, 912, 825, 1820, 9217, 267, 1439, 284, 1412, 1412, 2020, 6343, 11243, 815, 3403, 28361, 333, 8923, 2322, 538, 707, 2012, 17210, 258, 2889, 12378, 476, 276, 692, 1721, 1775, 538, 1018, 11243, 912, 825, 952, 1775, 2652, 1412, 320, 262, 610, 1775, 2652, 1412, 334, 262, 610, 1775, 2652, 1412, 340, 262, 610, 1775, 2652, 1412, 324, 262, 610, 1775, 2652, 1412, 328, 12466, 1038, 1820, 9217, 2020, 258, 2889, 12378, 476, 277, 692, 6343, 11243, 815, 3403, 3488, 8923, 2322, 538, 707, 2012, 17210, 1721, 1775, 538, 1018, 11243, 912, 825, 513, 815, 3921, 9217, 994, 825, 513, 320, 815, 1193, 6357, 514, 5416, 4917, 825, 1820, 5416, 320, 994, 825, 513, 12711, 815, 513, 320, 314, 273, 281, 2639, 825, 1820, 5416, 12711, 9239, 0, 5814, 4351, 454, 5814, 942, 454, 5228, 4351, 1104, 28219, 842, 267, 3903, 476, 1948, 1289, 513, 1599, 2047, 689, 513, 1110, 454, 5228, 942, 1104, 3207, 692, 5575, 24868, 762, 815, 703, 263, 273, 269, 280, 994, 2745, 263, 5575, 24868, 762, 994, 13553, 24868, 762, 815, 703, 8987, 273, 269, 276, 994, 2745, 263, 13553, 24868, 762, 994, 23612, 24868, 762, 815, 3403, 3488, 1692, 616, 596, 286, 5073, 2745, 263, 23612, 24868, 762, 994, 2745, 263, 1001, 279, 910, 10581, 263, 23612, 24868, 762, 4917, 16482, 320, 815, 476, 274, 454, 321, 815, 476, 276, 454, 322, 815, 476, 278, 454, 258, 7179, 3020, 952, 513, 2999, 536, 543, 536, 2999, 524, 454, 258, 4746, 1820, 3020, 952, 513, 3436, 536, 543, 536, 3436, 524, 692, 718, 318, 22764, 815, 782, 9230, 320, 2999, 536, 267, 536, 2999, 524, 4297, 528, 630, 320, 3436, 536, 543, 536, 3436, 524, 994, 2745, 263, 718, 318, 22764, 994, 2745, 9230, 513, 2999, 536, 543, 536, 2999, 524, 264, 610, 630, 320, 3436, 536, 543, 536, 3436, 524, 4917, 258, 519, 824, 1259, 7531, 20204, 815, 4351, 27110, 263, 1001, 279, 264, 476, 1948, 3096, 513, 2039, 540, 10396, 14877, 2338, 454, 2745, 3488, 13195, 3299, 1032, 267, 1412, 320, 20014, 1032, 286, 3299, 1439, 8782, 315, 333, 5073, 2745, 9230, 20204, 4939, 476, 275, 2652, 476, 271, 543, 1032, 4939, 476, 1911, 11203, 476, 271, 264, 610, 630, 20204, 4939, 476, 1911, 2652, 476, 271, 543, 1032, 4939, 476, 6110, 2652, 476, 271, 11723, 12072, 815, 4351, 26716, 4069, 9230, 276, 267, 476, 277, 267, 476, 866, 4297, 476, 1948, 4584, 689, 707, 5079, 454, 2745, 263, 12072, 2020, 5503, 9556, 815, 942, 4732, 2748, 263, 276, 994, 2745, 3488, 342, 7159, 585, 621, 3299, 942, 9556, 2020, 2745, 3488, 342, 7159, 585, 621, 1862, 5073, 5503, 4732, 2748, 263, 276, 994, 2745, 3488, 323, 821, 256, 17210, 2745, 3488, 577, 718, 3188, 1862, 3299, 1439, 284, 1412, 22207, 23574, 18989, 994, 258, 23574, 1175, 6645, 2780, 547, 1175, 1577, 782, 519, 4371, 12673, 543, 8631, 547, 581, 12628, 454, 5503, 4732, 2748, 263, 274, 994, 2745, 3488, 23100, 539, 269, 5073, 0, 258, 4161, 692, 14079, 294, 13516, 815, 3403, 3488, 11767, 596, 1449, 3446, 1862, 5073, 14079, 294, 13516, 815, 703, 263, 14079, 294, 13516, 994, 258, 513, 815, 1496, 11152, 267, 476, 11463, 267, 476, 4817, 267, 476, 9834, 267, 476, 9032, 267, 476, 7176, 267, 476, 4200, 267, 476, 1911, 2639, 16482, 258, 1948, 952, 513, 28827, 17301, 263, 14079, 294, 13516, 15892, 258, 1948, 672, 1820, 2891, 288, 15419, 604, 3446, 294, 13516, 13843, 476, 11152, 912, 825, 1820, 3488, 288, 5073, 19197, 3446, 294, 13516, 13843, 476, 3445, 912, 825, 1820, 3488, 288, 268, 5073, 19197, 3446, 294, 13516, 13843, 476, 9262, 912, 825, 1820, 3488, 289, 266, 5073, 19197, 3446, 294, 13516, 13843, 476, 5952, 912, 825, 1820, 3488, 289, 5073, 19197, 3446, 294, 13516, 13843, 476, 10695, 912, 825, 1820, 3488, 289, 268, 5073, 19197, 3446, 294, 13516, 13843, 476, 4281, 912, 825, 1820, 3488, 290, 266, 5073, 19197, 3446, 294, 13516, 13843, 476, 10602, 912, 825, 1820, 3488, 290, 5073, 19197, 3446, 294, 13516, 13843, 476, 7761, 912, 825, 1820, 3488, 290, 268, 5073, 19197, 3446, 294, 13516, 13843, 476, 7597, 912, 825, 1820, 3488, 291, 266, 5073, 19197, 3446, 294, 13516, 13843, 476, 5780, 912, 825, 1820, 3488, 291, 5073, 19197, 3446, 294, 13516, 13843, 476, 8287, 912, 825, 1820, 3488, 291, 268, 5073, 12828, 912, 825, 1820, 3488, 293, 17210, 258, 12361, 798, 824, 835, 607, 1134, 910, 1547, 5269, 513, 2241, 9498, 602, 8591, 610, 10208, 338, 269, 9105, 519, 3593, 585, 519, 1101, 1297, 269, 9105, 873, 585, 513, 2048, 266, 685, 610, 2048, 268, 8072, 269, 9105, 519, 3593, 585, 513, 2034, 1297, 269, 1403, 519, 3593, 9411, 2048, 266, 8730, 1039, 519, 1079, 2338, 269, 1403, 519, 3593, 9411, 2048, 268, 8072, 267, 10208, 519, 1079, 2338, 563, 258, 476, 274, 269, 645, 2177, 4785, 281, 6987, 754, 707, 9498, 538, 1948, 273, 609, 8691, 267, 6498, 267, 23055, 563, 258, 476, 275, 269, 645, 2177, 4785, 5174, 2177, 4785, 281, 5269, 909, 707, 1378, 11346, 543, 946, 621, 538, 707, 9498, 269, 661, 326, 269, 1403, 596, 3593, 13788, 968, 933, 2273, 5608, 7941, 519, 1297, 676, 476, 1015, 8536, 780, 14140, 10831, 815, 703, 9272, 3488, 21607, 538, 1297, 29125, 7774, 26473, 1600, 815, 3403, 3488, 266, 610, 910, 5073, 16149, 10831, 815, 703, 9272, 3488, 21607, 538, 1776, 1297, 10807, 2020, 604, 5106, 26473, 1600, 2652, 1412, 266, 12466, 825, 1820, 6600, 1009, 10831, 1341, 2034, 10831, 2020, 19197, 5106, 26473, 1600, 2652, 21029, 12466, 825, 1820, 6600, 1009, 10831, 910, 2034, 10831, 994, 0, 5814, 26417, 692, 258, 667, 2177, 5588, 946, 21795, 1934, 607, 621, 3288, 16104, 782, 540, 1239, 883, 20433, 693, 2899, 563, 692, 322, 660, 284, 271, 692, 5976, 1930, 3488, 32220, 11907, 270, 26524, 27406, 3299, 17683, 6889, 331, 11294, 272, 8442, 607, 26417, 12803, 912, 1038, 1224, 5425, 309, 815, 26417, 18667, 518, 6262, 12364, 12803, 267, 1642, 574, 3438, 284, 3299, 3299, 12467, 1038, 1985, 263, 1348, 5425, 309, 267, 7183, 264, 476, 1948, 18178, 519, 2212, 619, 454, 1038, 585, 4737, 538, 1224, 5425, 309, 912, 3546, 1948, 1832, 1293, 540, 1948, 9343, 9268, 454, 3546, 524, 660, 6834, 476, 272, 454, 3546, 1948, 2745, 6262, 660, 2020, 2745, 6262, 660, 267, 6352, 21405, 11723, 7531, 322, 660, 284, 271, 692, 5976, 1930, 3488, 32220, 11907, 270, 9172, 9955, 27406, 3299, 17683, 6889, 331, 11294, 272, 8442, 607, 26417, 12803, 912, 1038, 1224, 5425, 309, 815, 26417, 18667, 518, 6262, 12364, 12803, 267, 1642, 574, 3438, 284, 3299, 5073, 1038, 1985, 263, 1348, 5425, 309, 267, 7183, 264, 476, 1948, 18178, 519, 2212, 619, 454, 1038, 585, 4737, 538, 1224, 5425, 309, 912, 3546, 1948, 1832, 1293, 540, 1948, 9343, 9268, 454, 3546, 524, 660, 6834, 476, 272, 692, 2745, 6262, 660, 267, 6352, 21405, 4917, 0, 3698, 535, 11170, 25975, 3960, 630, 10946, 20311, 815, 6200, 994, 567, 585, 1775, 538, 2039, 630, 10946, 8548, 15893, 2187, 8587, 1871, 815, 834, 4840, 476, 952, 1775, 4939, 476, 274, 2652, 476, 271, 281, 1871, 6834, 834, 293, 11170, 4840, 476, 952, 1775, 4939, 476, 276, 2652, 476, 271, 281, 1871, 6834, 834, 31807, 3960, 4840, 476, 585, 1297, 2073, 678, 538, 26246, 630, 325, 11170, 25975, 3960, 15405, 567, 1820, 834, 260, 338, 281, 4939, 338, 257, 4939, 630, 15893, 267, 337, 264, 7407, 454, 825, 7531, 0, 258, 7383, 532, 519, 918, 10327, 8021, 543, 15004, 454, 5228, 737, 10327, 6230, 617, 1564, 1104, 14938, 1113, 454, 5228, 737, 10327, 7456, 16558, 1104, 1230, 341, 273, 291, 454, 5228, 737, 10327, 7456, 16558, 1104, 7665, 303, 944, 532, 273, 291, 454, 5228, 737, 10327, 7456, 16558, 1104, 25065, 1084, 454, 5228, 737, 10327, 7456, 16558, 1104, 667, 1619, 692, 258, 19461, 2358, 519, 23711, 454, 5035, 8595, 815, 14938, 1113, 10797, 258, 5153, 476, 272, 910, 1230, 23728, 454, 5035, 8595, 14491, 263, 3519, 341, 273, 291, 263, 3953, 267, 630, 274, 267, 476, 274, 1070, 3403, 318, 27729, 815, 630, 5038, 267, 476, 5038 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4126, 547, 3180, 513, 25880, 9042, 609, 824, 2550, 538, 1250, 1489, 1895, 267, 543, 519, 23131, 540, 519, 9042, 786, 581, 11280, 547, 4481, 2508, 3220, 269, 645, 781, 1382, 269, 594, 1589, 713, 1131, 581, 513, 17501, 24744, 547, 1010, 960, 936, 519, 1296, 593, 15773, 540, 20231, 25425, 2068, 2550, 267, 711, 1175, 1010, 1378, 269, 901, 1131, 581, 1175, 513, 1507, 9684, 596, 585, 513, 2462, 4674, 593, 1010, 851, 782, 891, 1296, 4799, 13295, 267, 1247, 835, 3184, 538, 519, 1686, 540, 25425, 2068, 14405, 547, 513, 2673, 267, 513, 1007, 543, 5310, 1256, 811, 3078, 3184, 568, 1175, 4098, 269, 834, 296, 993, 18507, 547, 782, 1346, 945, 723, 11542, 3297, 803, 936, 519, 1296, 267, 543, 594, 786, 2141, 581, 3206, 540, 596, 910, 602, 568, 519, 1448, 3297, 1250, 3375, 2437, 3220, 269, 8738, 337, 2444, 8457, 11943, 269, 834, 296, 4126, 602, 1250, 2104, 3646, 593, 519, 15773, 540, 519, 25425, 2146, 786, 3136, 547, 581, 607, 4829, 995, 543, 13948, 14785, 607, 789, 2907, 723, 1044, 1701, 4586, 14188, 1411, 547, 3776, 1975, 976, 832, 2336, 22209, 790, 3135, 10677, 476, 1220, 279, 676, 5398, 2657, 1325, 1068, 267, 0, 5475, 1004, 19632, 607, 8815, 519, 3105, 3018, 585, 5717, 593, 31140, 543, 941, 782, 27206, 538, 519, 1153, 10689, 20354, 267, 12246, 773, 1767, 602, 789, 1131, 849, 1865, 782, 824, 1644, 3688, 563, 7197, 11932, 267, 789, 1131, 1865, 875, 547, 4688, 519, 31140, 543, 1018, 2962, 789, 1058, 1491, 563, 6624, 811, 1004, 1185, 8678, 1346, 267, 945, 1185, 1558, 4505, 538, 9400, 781, 2777, 519, 3105, 3018, 269, 25272, 543, 6307, 941, 849, 1459, 543, 6307, 729, 3168, 1454, 1732, 982, 875, 1352, 729, 519, 3105, 3018, 543, 729, 3833, 28292, 269, 9616, 912, 2414, 1265, 856, 1018, 729, 4636, 609, 6307, 519, 3105, 3018, 267, 28781, 1934, 547, 979, 547, 519, 5851, 8525, 454, 10144, 3323, 3168, 1472, 8049, 569, 607, 827, 476, 736, 3214, 21039, 607, 1114, 2010, 540, 22986, 2831, 543, 5017, 899, 281, 297, 16331, 541, 267, 1692, 2401, 3933, 4486, 267, 20228, 1054, 267, 294, 528, 8759, 267, 307, 537, 4754, 543, 13640, 8527, 454, 332, 3437, 1472, 519, 27206, 1004, 609, 1507, 30504, 5627, 1585, 5613, 971, 607, 281, 19146, 15606, 267, 6588, 701, 325, 21209, 267, 1368, 822, 553, 28504, 584, 2103, 31599, 836, 3996, 267, 528, 5190, 267, 3316, 11446, 267, 12566, 1952, 956, 28872, 777, 28569, 543, 335, 6842, 5613, 563, 7197, 540, 519, 3214, 1373, 538, 519, 2085, 1895, 540, 476, 275, 547, 476, 277, 1296, 941, 21183, 267, 1247, 930, 540, 873, 941, 513, 2370, 12050, 518, 543, 4682, 5180, 538, 2516, 540, 1000, 657, 610, 555, 4181, 1142, 563, 5445, 4280, 1346, 1459, 538, 741, 524, 3291, 569, 543, 32620, 10841, 757, 267, 799, 1152, 971, 3214, 666, 4383, 912, 257, 314, 23763, 316, 7934, 525, 286, 630, 6588, 701, 325, 21209, 13211, 565, 1263, 8119, 630, 528, 1052, 264, 543, 865, 593, 563, 2005, 729, 606, 8317, 585, 519, 1762, 3237, 540, 519, 3214, 547, 7198, 519, 6429, 609, 11348, 543, 7772, 269, 1879, 741, 3214, 5293, 676, 741, 5011, 267, 789, 554, 28289, 873, 17401, 543, 21098, 539, 873, 6612, 2299, 563, 298, 4331, 1767, 267, 834, 4322, 5613, 616, 2139, 538, 519, 8835, 22986, 269, 3509, 540, 873, 723, 1044, 4547, 547, 938, 2197, 543, 16916, 538, 2475, 543, 824, 18626, 1977, 2477, 563, 2252, 519, 31140, 1205, 10032, 11014, 267, 649, 949, 711, 1294, 873, 2663, 269, 1924, 267, 2972, 519, 5613, 1354, 519, 3214, 262, 2370, 1404, 5956, 543, 1354, 789, 14897, 689, 519, 3618, 11014, 8487, 26211, 942, 2663, 267, 519, 3214, 262, 1404, 3459, 563, 347, 9359, 540, 7591, 2008, 298, 4331, 729, 8066, 513, 4604, 609, 519, 2262, 834, 290, 1511, 257, 1688, 2854, 593, 621, 563, 763, 4819, 21039, 607, 513, 4775, 16423, 1767, 267, 547, 519, 4819, 21039, 607, 1200, 5256, 13959, 16423, 267, 834, 296, 1616, 547, 3548, 4195, 3165, 2221, 563, 3963, 1810, 1405, 596, 1205, 803, 835, 24350, 3891, 1767, 267, 834, 10498, 594, 786, 979, 856, 547, 519, 5757, 543, 1205, 930, 585, 596, 8487, 10521, 3214, 21039, 607, 17305, 1562, 941, 7555, 2282, 12246, 773, 8066, 513, 4604, 609, 519, 2262, 834, 305, 1853, 257, 1688, 2854, 593, 621, 563, 5475, 1352, 6410, 2476, 267, 17305, 614, 476, 272, 1767, 267, 834, 296, 993, 17237, 269, 594, 993, 3168, 585, 513, 3165, 269, 1548, 827, 596, 24350, 302, 339, 614, 476, 273, 1767, 267, 834, 296, 993, 849, 17237, 269, 589, 3165, 786, 581, 1434, 267, 855, 4927, 649, 1205, 835, 2221, 24350, 5445, 11542, 972, 3461, 569, 563, 306, 3019, 835, 824, 4819, 21039, 607, 513, 834, 8127, 257, 9411, 519, 6429, 1818, 6329, 609, 1010, 3946, 6029, 602, 519, 3165, 729, 834, 1873, 21148, 257, 538, 519, 1216, 269, 4595, 646, 729, 1134, 3710, 267, 646, 7902, 547, 581, 513, 1483, 834, 15927, 3165, 8487, 302, 339, 614, 476, 272, 22551, 539, 267, 834, 16100, 256, 513, 2462, 3165, 269, 594, 786, 6952, 621, 257, 543, 834, 550, 1359, 257, 519, 1216, 267, 646, 9575, 3180, 540, 519, 834, 18571, 257, 540, 519, 3165, 563, 3719, 519, 834, 15927, 3165, 257, 729, 2178, 543, 834, 1873, 600, 257, 2476, 267, 1951, 21794, 17305, 614, 476, 272, 1310, 1864, 563, 257, 290, 727, 543, 948, 803, 2437, 17305, 614, 476, 272, 22551, 539, 547, 1010, 3659, 269, 834, 1607, 1390, 3165, 786, 581, 2614, 585, 1312, 540, 721, 30882, 3383, 17305, 614, 476, 273, 834, 20852, 257, 883, 519, 1216, 269, 634, 1079, 1927, 941, 2111, 547, 834, 1962, 532, 257, 519, 3165, 547, 834, 1633, 8487, 302, 339, 614, 476, 272, 1767, 267, 834, 4131, 721, 7941, 519, 3165, 883, 1079, 2694, 4799, 302, 339, 614, 476, 273, 1767, 267, 834, 296, 1616, 519, 3368, 609, 519, 2212, 593, 2437, 454, 302, 339, 614, 476, 272, 1767, 267, 834, 5591, 269, 1411, 3112, 723, 602, 3368, 269, 2334, 568, 9553, 269, 1411, 1491, 519, 2766, 4799, 5445, 3323, 844, 19128, 1782, 269, 634, 16423, 4862, 519, 17305, 1562, 543, 646, 4682, 909, 547, 873, 563, 8450, 532, 519, 16423, 267, 519, 17305, 1562, 1767, 281, 834, 16031, 269, 16423, 256, 7490, 948, 721, 282, 713, 3165, 729, 9575, 676, 1312, 540, 721, 1927, 269, 1284, 3112, 3858, 827, 12270, 1864, 563, 12663, 596, 5225, 7941, 1864, 585, 721, 24350, 763, 16423, 834, 12827, 1055, 257, 519, 834, 18571, 257, 543, 5795, 621, 547, 17305, 614, 476, 272, 267, 1247, 4758, 519, 834, 3650, 257, 547, 17305, 614, 476, 273, 269, 1261, 3576, 519, 1804, 1647, 851, 585, 5128, 267, 6031, 547, 873, 267, 834, 2791, 666, 3548, 519, 2212, 543, 519, 2766, 1510, 844, 19128, 1782, 1631, 4799, 3891, 10443, 2476, 609, 519, 834, 7853, 257, 540, 519, 3165, 269, 634, 17305, 1562, 11542, 543, 6743, 693, 1142, 824, 269, 1358, 2219, 602, 519, 16423, 1185, 2196, 1055, 609, 519, 1655, 851, 540, 519, 3165, 563, 763, 16423, 729, 20938, 543, 1767, 547, 5128, 267, 607, 646, 10443, 4724, 1010, 1753, 267, 834, 3086, 594, 723, 4195, 3165, 585, 1250, 7385, 4799, 9928, 2940, 476, 274, 630, 290, 1511, 994, 14367, 19898, 267, 7487, 1864, 4947, 267, 3357, 547, 2743, 1864, 267, 6031, 281, 834, 1692, 1705, 596, 1205, 519, 3165, 286, 1411, 3112, 7669, 269, 4208, 568, 519, 3165, 865, 9642, 3168, 286, 7316, 616, 922, 2212, 543, 2766, 24350, 3891, 5143, 1200, 540, 519, 29170, 7758, 540, 519, 17305, 1562, 269, 834, 296, 3576, 519, 3165, 607, 1250, 12375, 585, 23928, 741, 29170, 7758, 269, 3767, 1577, 721, 2972, 519, 3165, 4840, 17484, 540, 7591, 563, 16360, 1078, 593, 5553, 2025, 808, 31540, 24079, 689, 3127, 1916, 298, 4331, 543, 12246, 773, 1767, 267, 834, 1607, 2370, 1404, 18304, 909, 519, 2990, 540, 519, 4567, 540, 519, 9341, 31140, 4799, 257, 2791, 949, 581, 11842, 1946, 649, 1031, 3214, 547, 2491, 519, 2990, 540, 519, 31140, 269, 634, 2063, 942, 950, 649, 5018, 602, 649, 616, 2693, 547, 6336, 782, 31140, 1369, 513, 2339, 540, 476, 1789, 547, 476, 2412, 1296, 689, 1631, 267, 930, 540, 596, 1767, 602, 621, 568, 513, 1279, 942, 543, 865, 1946, 4250, 1631, 3294, 563, 3719, 267, 1175, 1413, 693, 891, 3214, 269, 1358, 616, 538, 519, 2085, 1895, 540, 476, 275, 547, 476, 280, 1296, 1631, 269, 476, 1789, 547, 476, 2412, 1296, 689, 2221, 267, 789, 786, 581, 538, 741, 4571, 3562, 2000, 622, 476, 1789, 781, 543, 476, 2412, 781, 563, 4322, 20036, 2370, 15985, 956, 540, 7772, 949, 711, 1174, 519, 3510, 2221, 855, 4952, 741, 2990, 1310, 891, 1082, 1296, 269, 1306, 741, 3237, 786, 596, 899, 547, 1294, 873, 7092, 24350, 303, 340, 3960, 1194, 267, 519, 22242, 4280, 918, 4331, 543, 12246, 773, 1018, 7092, 1131, 581, 6420, 873, 563, 257, 2791, 666, 2161, 602, 938, 1272, 3294, 5673, 593, 31140, 10611, 664, 28014, 3761, 5135, 2094, 789, 11677, 3327, 8166, 543, 5305, 5135, 547, 519, 5790, 563, 2252, 31140, 616, 10032, 519, 3761, 540, 5135, 786, 3247, 543, 8511, 3154, 1198, 786, 1491, 1747, 1813, 547, 519, 1875, 268, 25388, 1632, 540, 3327, 8166, 563, 1607, 786, 2014, 8693, 15448, 454, 2254, 1152, 538, 519, 1858, 540, 519, 31140, 267, 799, 616, 10032, 855, 849, 11992, 10611, 664, 28014, 616, 849, 513, 2707, 540, 1216, 547, 519, 1158, 2094, 789, 957, 607, 513, 24659, 563, 3383, 267, 952, 31140, 616, 10032, 267, 789, 949, 2014, 24627, 532, 610, 667, 893, 1206, 563, 305, 664, 28014, 616, 513, 2707, 540, 1082, 5613, 543, 10808, 267, 6995, 267, 14546, 267, 12285, 267, 5070, 531, 6229, 267, 4342, 874, 528, 267, 13869, 3282, 267, 30597, 547, 2012, 1152, 513, 1906, 269, 4107, 11932, 267, 1082, 540, 519, 2860, 5061, 616, 1500, 689, 16392, 2371, 540, 519, 31140, 563, 3719, 649, 1058, 1174, 602, 649, 723, 1152, 29565, 3481, 519, 2627, 607, 2484, 607, 1382, 593, 16392, 2371, 616, 7255, 269, 12207, 2161, 602, 513, 2603, 540, 1382, 2115, 547, 581, 2944, 538, 713, 1858, 547, 3132, 1082, 5061, 547, 4339, 3676, 269, 3509, 811, 2030, 2249, 616, 2943, 547, 4857, 538, 519, 31140, 563, 2026, 938, 1272, 12732, 4679, 543, 649, 2661, 3476, 543, 3476, 607, 3379, 547, 519, 4505, 5481, 267, 649, 786, 991, 811, 543, 1082, 1114, 11955, 2523, 538, 938, 2025, 2085, 269, 6056, 540, 1018, 786, 4755, 547, 891, 3214, 538, 741, 2025, 2085, 952, 649, 6861, 519, 31140, 609, 791, 29774, 1631, 4799, 288, 535, 3497, 18084, 519, 8188, 540, 1082, 563, 298, 4331, 4797, 267, 834, 3719, 1004, 1589, 540, 1152, 16025, 610, 3574, 950, 789, 5873, 519, 2262, 834, 10809, 257, 610, 834, 1778, 28014, 2580, 855, 607, 649, 4718, 1657, 267, 31140, 723, 1454, 811, 2956, 8487, 18814, 547, 971, 13385, 1620, 267, 1004, 616, 711, 3222, 540, 519, 2014, 540, 519, 3441, 2944, 547, 519, 1158, 676, 519, 4853, 1242, 6082, 563, 7712, 621, 3322, 519, 2104, 2729, 540, 519, 3214, 267, 649, 4956, 547, 1459, 519, 31140, 5717, 454, 514, 519, 1106, 540, 513, 2370, 1404, 563, 298, 4331, 1767, 267, 834, 763, 834, 310, 6504, 257, 4564, 519, 4853, 1242, 6082, 610, 519, 2462, 14078, 543, 519, 834, 302, 339, 1562, 257, 2099, 519, 3384, 6082, 267, 1141, 519, 9341, 31140, 616, 13883, 563, 763, 4853, 1242, 6082, 543, 519, 2462, 14078, 1232, 1493, 519, 31140, 540, 519, 3384, 6082, 585, 741, 1378, 12434, 29267, 785, 995, 540, 519, 4539, 547, 519, 3384, 6082, 2933, 610, 547, 519, 2104, 5481, 281, 1452, 20036, 2370, 3214, 2099, 519, 2104, 5108, 563, 763, 3384, 6082, 849, 917, 827, 519, 4539, 855, 616, 3833, 27303, 538, 519, 2339, 267, 2094, 741, 6608, 723, 547, 1265, 3435, 547, 1896, 2042, 6849, 873, 281, 670, 4007, 5095, 2676, 869, 7924, 2557, 2676, 869, 610, 1100, 4747, 585, 6668, 2676, 335, 3233, 4914, 5385, 14425, 543, 865, 593, 563, 3383, 519, 2229, 543, 519, 2797, 3401, 616, 896, 10373, 12503, 689, 1585, 20453, 1813, 547, 971, 2042, 910, 1175, 899, 519, 17305, 1562, 941, 2221, 538, 938, 2370, 1404, 563, 17798, 519, 2462, 14078, 540, 519, 4853, 1242, 6082, 616, 4847, 547, 834, 8421, 257, 519, 31140, 585, 16025, 267, 538, 2132, 585, 799, 519, 3384, 6082 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 269, 21478, 12485, 6763, 585, 519, 2553, 540, 3310, 602, 1004, 1118, 946, 540, 538, 3906, 547, 1118, 1919, 2944, 538, 513, 1732, 1259, 676, 20310, 1866, 547, 22738, 3527, 538, 513, 1880, 6073, 269, 15873, 543, 6516, 15942, 585, 32029, 910, 18991, 2966, 5750, 543, 6516, 521, 585, 32029, 609, 11617, 10875, 12449, 543, 14318, 2360, 938, 1007, 12627, 23054, 923, 5750, 543, 6516, 15942, 585, 32029, 568, 513, 4015, 540, 936, 476, 1911, 271, 23666, 1947, 2966, 1239, 12454, 5750, 543, 1196, 3386, 6516, 521, 16798, 547, 23666, 1022, 5304, 563, 12041, 640, 267, 1379, 602, 568, 11307, 574, 1242, 676, 519, 3656, 543, 2686, 13210, 593, 799, 606, 3919, 568, 1759, 267, 568, 519, 10700, 2707, 540, 1379, 538, 513, 3919, 630, 326, 732, 628, 678, 795, 2158, 476, 1220, 272, 264, 8164, 972, 568, 513, 946, 540, 22265, 1852, 621, 5932, 4187, 543, 24150, 269, 5530, 476, 1789, 3184, 476, 1015, 268, 1379, 543, 3310, 538, 519, 9036, 15460, 689, 737, 7159, 14979, 575, 593, 1353, 19990, 14980, 6392, 7682, 4369, 1344, 1852, 22687, 5250, 16057, 9029, 16057, 9029, 11543, 1489, 689, 835, 610, 811, 1004, 609, 2362, 6392, 610, 6791, 269, 1215, 798, 2686, 3604, 1860, 519, 1739, 3310, 2188, 281, 630, 320, 264, 14980, 6392, 543, 630, 536, 3738, 16057, 9029, 476, 274, 713, 1433, 4749, 11363, 602, 3811, 3549, 4497, 538, 269, 2561, 7002, 3040, 1952, 324, 2718, 547, 2362, 6392, 3040, 514, 11079, 13267, 547, 6109, 779, 3853, 3040, 718, 4800, 610, 9228, 19710, 609, 2362, 4567, 1268, 811, 2010, 540, 3310, 630, 935, 1406, 264, 2182, 3310, 12485, 14980, 6392, 16057, 9029, 22687, 5250, 1344, 1852, 7682, 4369, 269, 0, 12850, 543, 24277, 19718, 941, 5207, 693, 519, 13591, 31736, 4320, 543, 5594, 2539, 693, 519, 5207, 3037, 11188, 13920, 1216, 10338, 543, 24277, 19718, 829, 1770, 3597, 3259, 8519, 689, 11741, 539, 547, 10690, 3037, 609, 13302, 3597, 27940, 559, 3346, 269, 15766, 908, 540, 8755, 1478, 543, 3595, 3262, 9259, 519, 11000, 1433, 968, 325, 1495, 22954, 540, 3595, 892, 1360, 2038, 267, 519, 3549, 4718, 519, 1761, 543, 2640, 540, 1216, 5134, 2029, 519, 3549, 1185, 3908, 5010, 1967, 1813, 547, 1970, 3355, 7024, 593, 1164, 9541, 269, 634, 4161, 6013, 538, 3067, 4328, 891, 6724, 1210, 3908, 1239, 267, 2523, 950, 14236, 10898, 610, 5095, 17364, 1804, 8901, 10253, 267, 610, 10898, 609, 513, 2647, 2039, 540, 1761, 2360, 267, 607, 609, 5068, 7286, 11935, 269, 17164, 762, 543, 6079, 11041, 616, 3810, 9268, 11041, 602, 616, 3362, 8697, 1282, 5986, 930, 2090, 2303, 602, 789, 666, 2014, 2800, 543, 3565, 547, 2068, 269, 19296, 543, 1761, 7218, 827, 519, 2029, 543, 922, 946, 538, 1212, 974, 585, 562, 867, 545, 3540, 5989, 2223, 568, 14236, 519, 552, 2739, 338, 540, 1210, 28920, 11131, 8098, 4869, 999, 538, 6405, 13123, 713, 1788, 568, 2362, 1216, 10338, 538, 519, 4704, 6405, 563, 20082, 281, 1761, 4205, 1063, 3618, 19095, 543, 519, 1804, 25850, 536, 2581, 536, 2581, 1331, 2360, 540, 546, 2426, 18254, 543, 2360, 540, 21737, 3842, 2030, 6114, 547, 1219, 565, 2747, 538, 519, 4603, 4080, 1934, 1775, 8179, 547, 1449, 519, 8367, 602, 5095, 896, 546, 2426, 1273, 338, 2333, 5097, 676, 11776, 689, 11105, 2127, 267, 543, 2034, 3320, 269, 22358, 15205, 689, 4104, 547, 2627, 7297, 281, 519, 2360, 540, 4104, 7556, 543, 1929, 532, 1183, 9109, 24649, 267, 1319, 338, 562, 559, 26856, 267, 678, 11047, 639, 521, 7238, 27231, 523, 3037, 18861, 566, 1761, 27702, 476, 1691, 4901, 540, 3037, 18861, 566, 1761, 21718, 476, 1428, 4549, 2218, 5123, 6322, 693, 14236, 543, 6061, 2152, 4857, 538, 519, 2962, 10872, 2417, 267, 1804, 4336, 269, 15190, 571, 5833, 585, 30341, 1216, 630, 14808, 2190, 1070, 543, 16600, 1790, 675, 1216, 630, 14808, 476, 1839, 1070, 7000, 1152, 1507, 4726, 6877, 693, 476, 16960, 271, 4699, 476, 272, 267, 11021, 602, 930, 19941, 268, 14127, 2326, 941, 1459, 538, 519, 1216, 7727, 1282, 21381, 563, 2690, 519, 9819, 540, 1761, 21381, 267, 3232, 2121, 5982, 267, 2011, 2837, 267, 11626, 2604, 267, 2842, 3432, 267, 543, 3448, 11195, 941, 6508, 689, 519, 530, 325, 1372, 328, 1239, 1305, 267, 543, 2627, 620, 5523, 334, 689, 513, 10865, 6172, 26331, 1759, 593, 519, 24067, 2230, 8116, 630, 525, 320, 264, 2518, 5523, 334, 1587, 1496, 332, 1638, 518, 1696, 269, 4826, 543, 3049, 941, 3177, 740, 5391, 527, 636, 519, 25690, 543, 1710, 8718, 11326, 941, 6035, 547, 519, 2156, 8814, 17944, 689, 476, 271, 547, 476, 2641, 543, 689, 476, 2420, 547, 476, 5655, 2395, 540, 2085, 267, 6606, 519, 5017, 941, 3177, 1114, 11326, 609, 1614, 3282, 2959, 267, 799, 941, 3138, 267, 865, 543, 1093, 543, 1614, 2157, 540, 7513, 281, 16903, 267, 12077, 476, 272, 281, 4962, 476, 10219, 281, 6187, 274, 543, 476, 1428, 281, 271, 4037, 630, 333, 21683, 476, 1960, 275, 562, 21683, 269, 4340, 547, 873, 267, 8423, 553, 3576, 519, 5351, 267, 799, 3769, 7802, 267, 20974, 19843, 267, 4915, 267, 1216, 267, 543, 1426, 267, 543, 7856, 621, 1851, 8423, 553, 2818, 610, 4421, 621, 593, 519, 3109, 2344, 585, 7443, 544, 19376, 887, 1087, 5206, 602, 519, 3375, 729, 9141, 676, 4160, 543, 3361, 14320, 811, 3441, 982, 519, 1761, 8594, 621, 15286, 269, 13705, 710, 5464, 540, 13178, 1062, 10832, 11729, 1344, 547, 2708, 519, 1699, 2773, 540, 519, 13178, 1062, 543, 2488, 2038, 9963, 540, 1761, 1062, 24017, 2079, 540, 2773, 5464, 1239, 2636, 1857, 1072, 3906, 547, 1305, 3853, 585, 1062, 2773, 6454, 269, 476, 275, 875, 1705, 519, 14495, 1216, 1860, 519, 2949, 5114, 8367, 281, 1775, 8367, 602, 519, 11747, 5834, 786, 1860, 519, 2557, 540, 5114, 855, 1152, 909, 2394, 513, 1978, 1448, 1317, 972, 568, 513, 3908, 3761, 540, 14041, 11476, 616, 3940, 11140, 602, 6411, 607, 6211, 18463, 676, 2810, 519, 2557, 540, 6547, 1510, 4657, 519, 2949, 1184, 563, 20059, 580, 908, 23015, 2670, 593, 2220, 27827, 2281, 2832, 281, 547, 8495, 519, 1198, 540, 7319, 13427, 3070, 593, 2220, 27827, 2281, 538, 1931, 547, 3313, 519, 1216, 1761, 540, 873, 4282, 1344, 281, 1412, 657, 332, 2670, 568, 269, 634, 2078, 1063, 2038, 6689, 1286, 625, 630, 324, 764, 264, 543, 8377, 568, 11786, 713, 3444, 22891, 5619, 11567, 713, 7681, 538, 1453, 689, 1970, 13867, 3885, 538, 979, 1014, 807, 267, 979, 5362, 267, 2909, 7588, 543, 2808, 519, 1909, 540, 1896, 1514, 21876, 269, 589, 19579, 3318, 609, 476, 1724, 1296, 540, 3638, 1995, 543, 17935, 585, 4876, 23918, 3255, 538, 6455, 2073, 6725, 2073, 1952, 997, 566, 14720, 7572, 1145, 1646, 609, 606, 3919, 540, 1065, 1393, 269, 634, 23342, 21167, 610, 3274, 23342, 630, 270, 476, 16659, 737, 522, 390, 488, 737, 522, 390, 488, 1315, 1070, 799, 568, 849, 1572, 519, 524, 659, 7776, 21167, 610, 524, 659, 7776, 630, 270, 737, 476, 16745, 476, 16659, 737, 513, 390, 488, 1315, 1070, 568, 519, 12015, 543, 4628, 25496, 6079, 540, 519, 984, 668, 320, 524, 659, 7776, 267, 689, 799, 23342, 17571, 630, 320, 7848, 540, 1875, 325, 520, 6878, 264, 543, 23342, 7423, 630, 1492, 3170, 264, 666, 581, 13939, 563, 763, 13753, 616, 3334, 540, 513, 3677, 7634, 547, 2708, 519, 15780, 1761, 540, 519, 737, 541, 5622, 24348, 16935, 609, 14621, 547, 23478, 1216, 547, 4439, 12537, 334, 2749, 269, 13785, 568, 18460, 1945, 540, 606, 3961, 6433, 607, 519, 5428, 602, 814, 4371, 32022, 585, 5756, 8188, 1761, 14710, 693, 519, 3440, 582, 4216, 1273, 878, 807, 562, 559, 26856, 14753, 547, 3638, 731, 2113, 928, 267, 519, 10264, 779, 562, 867, 923, 5330, 550, 267, 827, 1018, 814, 8854, 4636, 585, 519, 2220, 539, 15242, 568, 6849, 4049, 1216, 22520, 267, 609, 8933, 15018, 909, 543, 1216, 13882, 269, 634, 1761, 7687, 540, 519, 4598, 1239, 941, 17019, 538, 519, 3355, 1867, 593, 519, 4681, 540, 519, 16917, 328, 11043, 1353, 540, 2823, 2234, 1756, 19379, 630, 6011, 324, 543, 1866, 476, 2735, 278, 264, 9663, 560, 476, 2735, 274, 264, 519, 28453, 540, 28227, 538, 6704, 1216, 543, 538, 31534, 814, 1044, 2404, 609, 513, 1297, 540, 2068, 4093, 267, 971, 607, 6797, 2587, 3930, 541, 19265, 543, 563, 1103, 476, 3422, 275, 693, 1580, 1120, 328, 543, 642, 520, 1084, 6420, 1927, 20827, 519, 1507, 630, 4792, 544, 342, 628, 543, 476, 1015, 332, 933, 264, 3331, 483, 7465, 320, 5230, 1216, 19720, 547, 5838, 3002, 543, 513, 2370, 5201, 547, 6006, 27048, 729, 14236, 519, 3905, 10402, 8664, 540, 7187, 2220, 539, 523, 538, 476, 1001, 273, 543, 814, 513, 1085, 14563, 1353, 9672, 519, 2804, 1761, 540, 6915, 24050, 682, 778, 6721, 476, 4968, 271, 512, 270, 8500, 337, 7132, 269, 634, 2404, 2046, 20205, 538, 3829, 3795, 593, 2221, 781, 2462, 1650, 1519, 1283, 2984, 267, 3486, 267, 6214, 267, 6197, 267, 1870, 267, 9913, 267, 543, 811, 269, 21885, 7634, 593, 8143, 25305, 267, 27978, 896, 554, 628, 335, 543, 3498, 585, 24232, 5599, 540, 554, 20142, 2220, 539, 2520, 1278, 332, 267, 476, 2764, 630, 1960, 280, 1070, 6032, 476, 277, 1704, 562, 344, 530, 340, 267, 1990, 647, 267, 1696, 620, 333, 10179, 673, 11191, 540, 3002, 2504, 1761, 689, 3905, 3819, 4224, 676, 1216, 21883, 998, 513, 3209, 2582, 7299, 17795, 693, 9390, 8445, 24232, 2361, 563, 763, 6968, 585, 519, 3727, 676, 519, 535, 6798, 568, 5059, 593, 513, 562, 1180, 525, 5296, 2679, 3544, 11067, 2023, 267, 519, 22071, 540, 519, 1283, 5728, 4099, 585, 6880, 4987, 269, 2776, 27457, 2787, 267, 6777, 1216, 6697, 1496, 5055, 644, 517, 543, 561, 7238, 325, 1597, 3780, 267, 476, 1001, 276, 316, 543, 20296, 4632, 585, 4050, 2006, 1761, 21381, 630, 7065, 264, 941, 6027, 538, 519, 3844, 851, 540, 519, 737, 787, 1188, 17427, 6952, 618, 693, 519, 521, 341, 691, 828, 1326, 1382, 6728, 630, 5038, 4113, 1691, 262, 562, 267, 476, 866, 4113, 5379, 262, 552, 267, 476, 18597, 544, 513, 521, 561, 269, 1530, 4705, 31498, 600, 29893, 946, 609, 2539, 16035, 1377, 267, 1216, 12555, 543, 1164, 32137, 267, 1434, 14910, 543, 1697, 4015, 267, 543, 1167, 8973, 540, 31498, 600, 723, 269, 0, 306, 14403, 777, 476, 3707, 273, 17058, 2094, 3284, 2313, 981, 585, 938, 1837, 1224, 873, 543, 2347, 707, 3184, 14592, 669, 476, 1240, 519, 11972, 5075, 23486, 630, 14056, 276, 330, 269, 3848, 476, 1240, 5710, 532, 519, 3296, 531, 6560, 476, 7277, 279, 268, 6977, 275, 519, 2442, 16285, 3443, 25445, 2442, 16285, 281, 519, 2856, 602, 519, 1004, 540, 513, 8513, 1058, 563, 16158, 476, 6187, 694, 335, 476, 1001, 279, 811, 3284, 2313, 3184, 14592, 563, 6637, 1353, 7291, 4367, 11636, 5736, 10006, 538, 2504, 267, 4616, 267, 4683, 2208, 18094, 540, 1514, 2042, 3356, 13659, 269, 3848, 476, 272, 281, 1007, 1158, 20297, 267, 476, 3451, 267, 1822, 27652, 14194, 476, 12293, 280, 3184, 476, 273, 281, 519, 9544, 540, 3184, 476, 1240, 281, 5710, 532, 519, 3296, 531, 6560, 267, 476, 7277, 279, 268, 6977, 275, 3184, 476, 866, 15545, 20622, 532, 519, 3296, 531, 6560, 519, 2442, 16285, 3443, 25445, 519, 30067, 4618, 524, 11970, 3338, 8118, 513, 666, 540, 17494, 609, 519, 2243, 267, 1018, 1058, 581, 563, 10403, 5758, 543, 2079, 540, 519, 10530, 538, 3184, 476, 1240, 540, 519, 4605, 540, 546, 20187, 12457, 602, 4465, 1405, 1118, 596, 2879, 648, 649, 9153, 269, 476, 272, 264, 1492, 20012, 540, 13314, 513, 264, 1492, 1272, 540, 519, 2749, 1775, 264, 18076, 1402, 2799, 476, 278, 343, 538, 476, 2004, 586, 3464, 1310, 3540, 2112, 267, 676, 476, 4572, 271, 5354, 540, 533, 680, 5030, 538, 4683, 2127, 7018, 269, 3848, 476, 277, 281, 519, 11156, 543, 519, 1007, 14081, 3184, 476, 278, 281, 3184, 476, 1015, 281, 13314, 781, 2804, 4838, 3184, 476, 1724, 281, 3184, 476, 1240, 281, 519, 2085, 540, 519, 2749, 563, 6637, 476, 1240, 910, 5710, 532, 519, 3296, 531, 6560, 17002, 7874, 1775, 519, 2442, 16285, 3443, 25445, 519, 14097, 540, 1368, 611, 2728, 701, 554, 10537, 2998, 8694, 519, 269, 3848, 476, 274, 281, 2486, 543, 2528, 538, 21621, 13314, 630, 777, 2313, 1070, 533, 696, 12835, 267, 6881, 3184, 476, 1240, 281, 519, 2085, 540, 519, 2749, 630, 777, 2313, 1070, 533, 696, 12835, 267 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 531, 1286, 5608, 543, 621, 2968, 865, 2442, 519, 3391, 814, 519, 1970, 16365, 593, 936, 476, 1911, 540, 519, 1034, 9565, 269, 8361, 585, 323, 4838, 2213, 5663, 609, 519, 3001, 10198, 1899, 543, 6766, 519, 7819, 2486, 543, 4346, 609, 585, 323, 1143, 519, 18914, 2872, 609, 519, 4367, 540, 585, 323, 1143, 12544, 1523, 543, 2259, 602, 269, 968, 1156, 787, 585, 323, 781, 4295, 3741, 540, 2298, 2694, 267, 20104, 267, 6498, 540, 4074, 543, 938, 3646, 547, 3044, 1125, 2504, 267, 1118, 15327, 811, 8465, 543, 6338, 1500, 519, 6574, 1764, 593, 5663, 267, 2872, 543, 2486, 607, 513, 2898, 281, 519, 563, 30875, 585, 323, 1705, 711, 6427, 519, 1286, 646, 3812, 606, 18914, 602, 729, 1369, 519, 2804, 519, 18914, 689, 513, 17195, 11442, 547, 513, 1292, 560, 599, 540, 7819, 2486, 1991, 547, 519, 4367, 540, 519, 10198, 1899, 267, 6517, 941, 14350, 18705, 676, 513, 4090, 748, 2680, 7018, 799, 1131, 1860, 519, 3003, 16669, 2872, 269, 16270, 28114, 1196, 2581, 781, 26460, 267, 29165, 585, 323, 8179, 547, 1118, 513, 1732, 1286, 2203, 519, 2754, 4503, 922, 2344, 17282, 855, 1185, 513, 9434, 1764, 593, 824, 585, 323, 5189, 519, 2203, 512, 267, 519, 1101, 1286, 547, 581, 10097, 585, 1034, 269, 8361, 585, 323, 267, 945, 5189, 2527, 2504, 540, 6517, 267, 7550, 512, 11336, 781, 2409, 855, 1034, 4583, 540, 891, 729, 519, 4367, 540, 513, 3001, 23740, 12966, 538, 1010, 15327, 799, 519, 3310, 540, 512, 11336, 543, 585, 323, 568, 1869, 10423, 538, 1082, 15327, 24636, 678, 12688, 538, 1010, 1433, 593, 519, 544, 7251, 10735, 1436, 540, 2486, 267, 11130, 602, 269, 4014, 11827, 538, 21570, 519, 476, 866, 628, 2540, 267, 29165, 585, 323, 781, 10198, 11060, 2504, 26873, 538, 519, 2038, 476, 736, 628, 2540, 9927, 519, 7819, 1259, 540, 1272, 563, 293, 867, 267, 29165, 630, 1789, 5104, 569, 476, 5908, 274, 1700, 5881, 32414, 476, 3707, 278, 1070, 18914, 10672, 267, 729, 4535, 593, 513, 4708, 2486, 267, 538, 799, 646, 3357, 896, 519, 3310, 540, 887, 338, 11986, 11634, 342, 20810, 267, 513, 476, 273, 267, 4335, 1790, 895, 3684, 602, 585, 323, 13948, 5189, 538, 27362, 476, 4489, 276, 693, 513, 269, 1358, 5156, 602, 519, 1655, 1259, 547, 1118, 513, 9434, 1764, 593, 2486, 729, 676, 4758, 543, 10962, 519, 2713, 13230, 609, 585, 323, 781, 2947, 13362, 1554, 3609, 538, 476, 4489, 276, 269, 1215, 1271, 729, 29165, 585, 323, 781, 9295, 547, 13314, 781, 4346, 543, 540, 519, 1034, 3811, 538, 519, 1158, 543, 267, 609, 713, 267, 1185, 513, 2101, 1764, 538, 7819, 4346, 950, 519, 2203, 512, 729, 1101, 5189, 547, 519, 2344, 621, 1185, 513, 3902, 540, 1269, 272, 267, 1220, 267, 676, 476, 4572, 279, 621, 729, 1269, 27768, 875, 2484, 1705, 519, 721, 320, 2486, 4957, 538, 519, 476, 4572, 271, 521, 269, 13028, 519, 2347, 1650, 540, 29165, 585, 323, 543, 1451, 1018, 1500, 1864, 513, 602, 25340, 8032, 519, 476, 736, 628, 2540, 543, 5170, 547, 1860, 938, 2729, 2221, 563, 3383, 1577, 781, 1491, 513, 1413, 693, 4557, 2081, 585, 323, 14659, 519, 2203, 512, 4957, 519, 1158, 267, 795, 531, 641, 23364, 281, 519, 2203, 512, 568, 7361, 3743, 585, 519, 4367, 540, 10198, 3515, 1272, 609, 519, 2203, 512, 267, 519, 7209, 540, 519, 1286, 543, 922, 17082, 267, 29165, 585, 323, 1869, 8359, 519, 2203, 512, 607, 519, 1034, 9565, 1286, 540, 519, 476, 736, 628, 2540, 269, 1261, 4769, 1405, 6427, 519, 10081, 2173, 9394, 267, 855, 29165, 585, 323, 7168, 1454, 11827, 519, 2413, 1158, 267, 13321, 6283, 543, 8744, 269, 8361, 585, 323, 781, 14021, 4708, 2238, 2731, 3459, 538, 562, 4912, 267, 476, 4489, 276, 267, 621, 568, 849, 2009, 602, 1312, 29827, 585, 323, 543, 1200, 5067, 941, 6766, 676, 29827, 781, 23881, 18146, 4708, 7239, 540, 519, 2038, 13524, 2540, 1185, 1831, 1082, 267, 607, 513, 1267, 267, 12014, 547, 2936, 621, 941, 5189, 538, 519, 1612, 2993, 14613, 540, 2220, 539, 523, 267, 6862, 3118, 27260, 10403, 1557, 281, 29165, 585, 323, 781, 18914, 1299, 621, 781, 2360, 593, 7819, 2486, 936, 519, 711, 7429, 519, 2360, 540, 519, 4367, 540, 7841, 1811, 883, 2486, 267, 26873, 269, 2290, 6212, 593, 29165, 585, 323, 267, 519, 23266, 540, 519, 2203, 512, 543, 13653, 540, 585, 323, 5179, 6368, 267, 26873, 25340, 6766, 6107, 2528, 543, 2021, 781, 2729, 269, 8361, 585, 323, 543, 519, 9925, 338, 281, 519, 2527, 2504, 540, 13842, 676, 683, 559, 24052, 7773, 267, 1857, 12602, 547, 519, 9925, 338, 267, 543, 519, 10081, 3046, 517, 781, 1279, 7681, 609, 2205, 12040, 4550, 268, 5033, 2572, 585, 323, 781, 1764, 593, 5734, 2401, 729, 23576, 676, 513, 29600, 8523, 540, 519, 693, 519, 3932, 540, 1010, 16939, 585, 323, 8120, 267, 18617, 602, 563, 30875, 585, 323, 5932, 519, 1101, 10198, 1899, 281, 513, 2985, 602, 11828, 29165, 585, 323, 781, 2872, 3217, 4099, 3942, 281, 606, 7650, 540, 519, 2956, 540, 519, 4853, 269, 2290, 4627, 1296, 3516, 29165, 585, 323, 12628, 519, 3902, 540, 1010, 2203, 512, 547, 1269, 20862, 865, 875, 1705, 649, 1847, 4724, 513, 2486, 1141, 2221, 12434, 3100, 547, 581, 8375, 855, 4600, 262, 2147, 9273, 666, 1860, 10304, 3609, 835, 3932, 689, 29165, 585, 323, 781, 1554, 1869, 6763, 856, 538, 1250, 2247, 281, 5009, 3152, 269, 769, 519, 1004, 781, 1119, 1723, 517, 281, 29165, 585, 323, 543, 519, 7819, 2540, 267, 519, 1034, 7471, 1620, 547, 4266, 540, 585, 323, 781, 11999, 3310, 543, 9867, 9029, 865, 646, 5189, 1010, 2034, 12316, 5647, 281, 519, 2947, 268, 13362, 1554, 1496, 32305, 316, 689, 3532, 2883, 4690, 538, 4853, 2486, 269, 634, 476, 4350, 273, 522, 9805, 923, 1923, 29165, 585, 323, 729, 1101, 1128, 21114, 693, 519, 476, 4350, 273, 522, 9805, 923, 547, 25559, 519, 2360, 540, 519, 1390, 4965, 543, 547, 1683, 606, 563, 12709, 2486, 2029, 2229, 1072, 4108, 1870, 4984, 3565, 3346, 29165, 585, 323, 729, 5310, 835, 540, 519, 1034, 1271, 11639, 538, 519, 689, 922, 4367, 538, 476, 5002, 279, 267, 519, 2203, 512, 2968, 513, 1360, 2442, 646, 1185, 513, 16854, 1764, 593, 13314, 585, 519, 1434, 269, 2201, 4074, 1554, 15964, 267, 621, 781, 711, 8966, 547, 1294, 6811, 827, 18787, 21883, 593, 1514, 2923, 4534, 1312, 15028, 543, 30369, 513, 2671, 762, 269, 769, 23891, 4231, 476, 4489, 275, 267, 29165, 585, 323, 3323, 9878, 1010, 10081, 4600, 513, 29165, 585, 323, 729, 513, 2182, 5991, 2216, 1870, 2006, 646, 4769, 1405, 6338, 519, 1269, 276, 269, 10749, 543, 9880, 593, 29165, 585, 323, 910, 2565, 3594, 4367, 519, 5736, 540, 2527, 1790, 3174, 267, 2527, 27360, 7566, 267, 543, 519, 2413, 267, 7082, 2486, 519, 14710, 593, 519, 2577, 5209, 540, 3486, 1710, 534, 857, 619, 543, 9925, 880, 2797, 3310, 563, 30875, 585, 323, 729, 606, 16724, 945, 4957, 519, 1158, 676, 3032, 777, 738, 532, 1010, 8087, 1870, 26136, 2663, 267, 646, 729, 476, 2412, 1296, 2025, 543, 24076, 2282, 9565, 269, 8361, 585, 323, 729, 4535, 476, 5611, 1296, 3516, 713, 3018, 630, 1789, 5104, 569, 476, 5908, 274, 264, 606, 10097, 5179, 6174, 602, 5280, 4838, 1047, 2486, 543, 5663, 3044, 2213, 6472, 267, 543, 10962, 741, 2504, 593, 513, 3001, 10198, 1899, 585, 323, 3576, 519, 2070, 18787, 941, 8185, 6766, 676, 3401, 945, 1131, 269, 4658, 540, 3310, 281, 29165, 585, 323, 29165, 585, 323, 329, 17989, 29165, 693, 513, 15007, 267, 585, 323, 729, 5189, 547, 1196, 2581, 607, 519, 8284, 945, 9364, 1500, 513, 3154, 1286, 269, 0, 293, 880, 14752, 6516, 1557, 454, 8620, 707, 1378, 2688, 3165, 14752, 6516, 1510, 17849, 513, 14704, 609, 666, 9366, 781, 23666, 1947, 2653, 547, 946, 6516, 20536, 4625, 1863, 267, 4625, 2228, 269, 11137, 281, 3597, 2014, 2079, 568, 513, 11295, 2319, 1184, 602, 20674, 538, 513, 2014, 543, 1198, 6516, 267, 1419, 1572, 513, 968, 8127, 14752, 892, 6516, 267, 666, 948, 538, 269, 20531, 1299, 1198, 2079, 568, 513, 6516, 2861, 4480, 602, 2337, 596, 2697, 782, 540, 519, 2693, 3123, 540, 519, 2042, 596, 2811, 6849, 563, 19370, 6061, 6516, 910, 3479, 707, 1557, 547, 721, 543, 649, 786, 798, 938, 1655, 585, 2012, 4266, 281, 3375, 1818, 3165, 14752, 6516, 910, 1966, 1419, 269, 12551, 14752, 2079, 547, 8495, 2042, 8808, 2053, 476, 11820, 281, 476, 1428, 281, 476, 1240, 268, 736, 547, 2327, 2550, 1205, 519, 1655, 1416, 267, 972, 568, 513, 991, 547, 20272, 543, 563, 7212, 568, 327, 1731, 11867, 1500, 1082, 7418, 547, 2298, 2359, 267, 646, 568, 1655, 1634, 585, 1010, 2014, 543, 1198, 6516, 267, 1634, 607, 519, 968, 8127, 14752, 6516, 269, 634, 2014, 7146, 13716, 6516, 729, 7620, 2919, 676, 29534, 2298, 4274, 7548, 25697, 528, 340, 568, 327, 1731, 11867, 538, 1249, 267, 891, 12222, 616, 1419, 269, 12551, 14752, 6516, 2014, 543, 1198, 6516, 7117, 328, 1907, 7901, 267, 476, 6246, 1390, 3165, 14752, 6516, 17074, 1806, 2262, 14133, 267, 3165, 14752, 6516, 1239, 642, 714, 1788, 267, 3165, 14752, 269, 20531, 543, 1198, 6516, 729, 2919, 676, 7548, 25697, 528, 340, 568, 327, 1731, 11867, 267, 513, 22082, 538, 519, 2361, 540, 2298, 2359, 689, 519, 476, 2568, 338, 538, 519, 2063, 2540, 1934, 568, 875, 563, 763, 2014, 1299, 1198, 6516, 568, 519, 2634, 18876, 540, 25697, 528, 340, 568, 327, 1731, 11867, 267, 945, 10660, 1229, 2298, 2359, 3157, 538, 519, 737, 1177, 30245, 6928, 29288, 563, 293, 880, 14752, 12222, 513, 3165, 14752, 4786, 630, 27271, 1572, 513, 1200, 2590, 14752, 4786, 264, 568, 513, 1826, 540, 8642, 28013, 602, 568, 1031, 547, 2263, 519, 1082, 3344, 610, 2360, 540, 513, 269, 589, 3165, 14752, 10959, 568, 606, 1557, 4058, 1907, 6466, 519, 3276, 3455, 6516, 7512, 1053, 547, 1589, 538, 2474, 540, 4367, 267, 1614, 1292, 6810, 543, 513, 269, 595, 3757, 8725, 562, 1170, 534, 3165, 14752, 6516, 1557, 4081, 3028, 563, 290, 1021, 543, 1198, 2079, 568, 849, 1634, 607, 513, 3165, 14752, 6516, 585, 1383, 267, 1921, 269, 5131, 1557, 281, 3597, 2014, 2079, 540, 519, 3123, 540, 729, 5653, 3165, 14752, 6516, 630, 2014, 7146, 13716, 6516, 264, 513, 3165, 14752, 6516, 267, 849, 4122, 1634, 607, 563, 293, 880, 14752, 5595, 642, 3317, 6516, 476, 1789, 3594, 267, 981, 2055, 267, 15885, 538, 1022, 1641, 3610, 269, 634, 3165, 14752, 6516, 568, 513, 2014, 7146, 13716, 6516, 602, 666, 581, 1031, 547, 2697, 519, 3165, 14752, 12222, 616, 1419, 1031, 538, 2115, 4879, 547, 4217, 538, 269, 901, 1826, 540, 6516, 568, 3006, 1572, 606, 568, 327, 1731, 11867, 6516, 1317, 621, 729, 11827, 676, 25697, 528, 340, 568, 327, 1731, 11867, 267, 610, 513, 3165, 14752, 6516, 1317, 563, 1103, 7421, 2014, 543, 1198, 267, 513, 3165, 14752, 6516, 568, 1419, 1031, 547, 4786, 3113, 1227, 875, 2014, 543, 1198, 616, 1644, 547, 1142, 824, 267, 607, 519, 1739, 6516, 269, 3040, 6716, 1944, 2014, 543, 1198, 3594, 630, 2998, 1023, 267, 2990, 267, 3483, 267, 1603, 513, 2014, 270, 1198, 5098, 264, 3040, 6716, 1944, 609, 513, 3165, 14752, 6516, 3040, 322, 1021, 543, 1198, 1557, 269, 634, 2014, 543, 1198, 6516, 568, 3006, 1572, 513, 3165, 14752, 6516, 630, 20357, 519, 6516, 5654, 899, 519, 22403, 540, 513, 3165, 264, 610, 606, 568, 327, 1731, 11867, 6516, 630, 12898, 922, 6185, 5877, 3165, 14752, 6516, 1557, 0, 396, 508, 18822, 682, 324, 17095, 22147, 28027, 268, 26580, 476, 9326, 25338, 9924, 6459, 10780, 21268, 4736, 10528, 3264, 7549, 28821, 8563, 21162, 9261, 25338, 31606, 24012, 4814, 21134, 267, 14359, 3378, 11012, 3264, 13953, 10948, 3522, 4736, 11714, 20977, 9686, 3264, 19628, 2843, 375, 7846, 10948, 20732, 4138, 9261, 11714, 20413, 4138, 16417, 11012, 4344, 23485, 10528, 28821, 13194, 269, 1548, 568, 519, 5098, 610, 1292, 1448, 540, 519, 3332, 476, 273, 1018, 568, 519, 960, 798, 596, 3858, 610, 10990, 609, 1022, 2694, 540, 519, 8689, 779, 7664, 540, 519, 5339, 269, 4828, 281, 1557, 267, 606, 25107, 267, 4612, 894, 267, 610, 2565, 5339, 5888, 2356, 1454, 10156, 543, 1447, 9836, 543, 6101, 982, 513, 12031, 610, 5098, 543, 269, 476, 5002, 30663, 1240, 972, 616, 1082, 1114, 3506, 540, 2219, 538, 519, 1858, 540, 5339, 9880, 602 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 543, 3914, 513, 1448, 1141, 513, 1507, 2823, 720, 786, 3142, 596, 547, 519, 2212, 31662, 540, 519, 31747, 5211, 269, 634, 31747, 5211, 1287, 8928, 22070, 543, 7140, 5045, 1141, 621, 5555, 8928, 811, 1574, 614, 569, 543, 13462, 609, 519, 717, 520, 710, 879, 563, 763, 5757, 8928, 998, 519, 2950, 540, 912, 288, 4988, 11308, 8115, 936, 519, 5757, 693, 654, 820, 7615, 267, 3710, 538, 476, 4489, 276, 267, 729, 10032, 676, 818, 5459, 538, 476, 2735, 275, 267, 855, 814, 1044, 32206, 563, 763, 670, 1638, 4211, 3559, 22855, 8862, 820, 7615, 24020, 267, 513, 15805, 9252, 5721, 5205, 519, 2025, 5721, 8905, 909, 519, 717, 520, 710, 879, 14860, 547, 654, 820, 7615, 563, 8448, 4930, 1644, 547, 834, 326, 520, 710, 879, 267, 575, 520, 710, 879, 5757, 267, 5757, 13426, 1862, 2274, 18081, 8235, 630, 514, 3943, 30086, 2274, 18081, 264, 568, 513, 10720, 538, 519, 670, 1638, 5823, 540, 717, 520, 710, 879, 267, 20563, 267, 4516, 3267, 634, 10720, 568, 4092, 1175, 547, 519, 5045, 540, 519, 717, 520, 710, 879, 5211, 267, 543, 1175, 7178, 540, 519, 31747, 5211, 267, 543, 568, 5532, 547, 1312, 540, 873, 609, 13576, 538, 689, 3267, 2705, 972, 941, 10770, 2042, 609, 5533, 267, 5631, 13576, 538, 689, 519, 717, 520, 710, 879, 5211, 4429, 1862, 898, 568, 4092, 2059, 23681, 476, 10755, 543, 519, 717, 520, 710, 879, 5211, 5111, 476, 3374, 3764, 5087, 540, 31747, 267, 5612, 5087, 540, 654, 820, 7615, 543, 5045, 540, 10787, 22641, 2023, 3267, 1703, 568, 4155, 1569, 547, 519, 717, 520, 710, 879, 5211, 585, 10935, 22745, 3267, 4516, 4303, 986, 1111, 267, 9112, 676, 519, 2199, 6107, 21496, 543, 6083, 730, 1524, 519, 717, 520, 710, 879, 5757, 547, 654, 820, 7615, 4429, 1862, 11683, 29815, 2456, 540, 519, 717, 520, 710, 879, 5211, 538, 25318, 1931, 616, 5487, 623, 17845, 3832, 5211, 20673, 629, 1794, 7699, 5211, 623, 4618, 665, 5211, 9835, 30086, 681, 1180, 774, 8812, 14633, 631, 850, 8235, 681, 643, 328, 27056, 667, 15530, 1068, 681, 643, 328, 27056, 632, 561, 262, 288, 580, 548, 630, 292, 14410, 5211, 4429, 293, 13904, 10530, 5627, 519, 2262, 5757, 912, 28490, 513, 3802, 518, 568, 8197, 606, 1367, 626, 972, 568, 24076, 646, 18085, 979, 693, 21554, 543, 711, 1082, 4025, 646, 18085, 979, 693, 29869, 269, 1809, 1175, 607, 621, 1629, 324, 753, 1272, 547, 2661, 7258, 513, 1390, 5757, 596, 666, 1100, 3476, 7669, 538, 610, 4235, 689, 267, 547, 581, 22125, 883, 10930, 2127, 543, 3108, 3217, 1454, 540, 519, 17953, 1055, 6972, 821, 7328, 596, 1058, 660, 723, 547, 15395, 513, 942, 543, 513, 5480, 585, 3034, 1765, 10955, 1189, 14208, 698, 1633, 630, 321, 269, 476, 4350, 273, 264, 0, 10454, 3597, 540, 1480, 4655, 568, 24107, 31195, 281, 595, 664, 543, 2806, 601, 267, 21469, 543, 1772, 8676, 601, 267, 15243, 543, 10507, 879, 267, 543, 1631, 9478, 543, 1010, 14552, 563, 297, 24944, 814, 519, 3765, 325, 28232, 540, 1373, 519, 21836, 269, 1261, 3090, 2478, 519, 6014, 2783, 269, 3571, 14552, 616, 4587, 543, 6793, 982, 646, 568, 269, 1358, 26416, 1010, 4527, 269, 1358, 1294, 1864, 607, 513, 8373, 20536, 269, 634, 1249, 602, 741, 4651, 14560, 1864, 1152, 2306, 873, 2587, 8175, 543, 811, 26416, 995, 269, 1358, 1616, 547, 6146, 1864, 269, 769, 519, 1439, 789, 1205, 7759, 540, 1864, 538, 513, 1259, 602, 2636, 873, 547, 1745, 513, 2370, 1447, 16944, 269, 1358, 598, 1723, 551, 513, 1650, 602, 789, 2995, 741, 4651, 267, 543, 789, 7017, 1524, 547, 1272, 1586, 269, 1358, 666, 6001, 269, 1703, 568, 1100, 9478, 547, 11145, 741, 4708, 1022, 811, 563, 4517, 1631, 789, 616, 6849, 513, 24928, 538, 513, 9490, 2244, 543, 621, 3274, 1281, 711, 2049, 547, 873, 602, 713, 812, 949, 581, 9478, 269, 1306, 2484, 607, 789, 616, 7255, 267, 972, 568, 1100, 9478, 269, 1358, 1810, 1406, 21028, 1864, 1631, 269, 1358, 2760, 1705, 269, 1358, 2760, 18931, 1864, 607, 835, 540, 873, 267, 607, 741, 4651, 779, 1126, 267, 607, 741, 7015, 609, 606, 3961, 540, 1010, 1378, 543, 513, 1318, 547, 581, 5128, 4799, 305, 629, 6798, 22189, 590, 2931, 267, 19410, 776, 593, 29807, 1002, 631, 1731, 8208, 345, 630, 276, 6507, 272, 994, 1862, 297, 24944, 4547, 3983, 5359, 540, 873, 547, 741, 4651, 269, 630, 274, 264, 3767, 5840, 6068, 9478, 1655, 540, 782, 1010, 14930, 267, 585, 646, 729, 519, 1126, 540, 1010, 2025, 2085, 282, 543, 646, 1185, 1500, 1864, 606, 15022, 3512, 539, 7113, 545, 269, 630, 275, 264, 1656, 950, 1010, 14552, 4718, 602, 741, 4651, 6068, 1864, 811, 982, 1022, 540, 1010, 14552, 267, 789, 554, 730, 1864, 865, 602, 789, 1223, 711, 3717, 513, 7874, 2262, 547, 1864, 563, 1692, 666, 16254, 2995, 602, 741, 3237, 1522, 723, 29202, 888, 3725, 889, 523, 568, 519, 9510, 269, 1684, 596, 1589, 4332, 1931, 6927, 538, 875, 16254, 4194, 630, 528, 1711, 264, 24515, 888, 1432, 798, 596, 1589, 540, 28311, 781, 1935, 286, 12984, 621, 1732, 610, 8338, 982, 1234, 889, 523, 781, 888, 3963, 798, 596, 1589, 9478, 8952, 5910, 2056, 646, 3085, 1405, 5431, 1010, 16254, 888, 1692, 1419, 798, 596, 1589, 24107, 31195, 11438, 593, 950, 596, 616, 513, 6738, 909, 888, 263, 272, 264, 9478, 1223, 1100, 3476, 1852, 5128, 1354, 782, 1010, 7390, 1218, 267, 543, 646, 524, 3072, 856, 267, 968, 5970, 3025, 11198, 689, 803, 17373, 1924, 972, 729, 1100, 835, 3116, 827, 950, 9478, 1500, 5128, 1634, 547, 1010, 14552, 269, 630, 273, 264, 3571, 865, 2125, 941, 865, 10978, 602, 519, 21072, 1223, 5873, 267, 543, 865, 519, 3377, 6603, 31279, 779, 19289, 269, 630, 274, 264, 9478, 1767, 547, 1010, 14552, 267, 968, 296, 993, 9478, 269, 1772, 1250, 4651, 1869, 1134, 9495, 1809, 1010, 14552, 1223, 711, 2626, 1864, 267, 865, 546, 636, 11398, 539, 941, 789, 593, 2272, 540, 1864, 269, 630, 275, 264, 3973, 9478, 1767, 547, 1010, 14552, 267, 968, 290, 727, 4464, 547, 803, 1848, 1656, 950, 789, 3357, 4464, 267, 646, 1767, 267, 968, 296, 993, 707, 7015, 9478, 267, 646, 7247, 596, 4421, 883, 5527, 269, 630, 276, 264, 3767, 267, 798, 711, 581, 1253, 5962, 610, 1065, 25209, 707, 2383, 1317, 596, 4421, 803, 554, 2416, 282, 621, 729, 547, 4688, 1272, 602, 2696, 2366, 803, 6619, 540, 596, 563, 263, 1691, 264, 2060, 602, 646, 17947, 1010, 7015, 18148, 1472, 519, 8405, 543, 649, 696, 267, 543, 18148, 649, 696, 593, 1010, 8405, 269, 630, 1428, 264, 1261, 21098, 539, 782, 1010, 14552, 543, 649, 696, 2390, 873, 282, 1152, 1287, 941, 1010, 14552, 2111, 547, 2911, 547, 1864, 563, 763, 1977, 9142, 540, 27435, 15565, 602, 3237, 798, 519, 1739, 547, 948, 24107, 31195, 563, 257, 8855, 602, 1142, 1126, 781, 2115, 616, 1114, 563, 5278, 3237, 1745, 621, 781, 1271, 547, 1521, 741, 1453, 519, 1482, 1259, 269, 8616, 1453, 1419, 29153, 602, 1919, 616, 834, 2254, 4023, 257, 543, 602, 789, 616, 711, 8391, 1018, 519, 824, 24107, 4991, 269, 6164, 532, 707, 1453, 8335, 3085, 1405, 1611, 596, 616, 4730, 29202, 269, 898, 781, 513, 1259, 540, 6029, 602, 596, 5660, 875, 2027, 789, 616, 563, 4407, 621, 781, 2067, 547, 5469, 3604, 1063, 707, 1453, 267, 2119, 711, 547, 6085, 593, 891, 538, 4395, 540, 873, 563, 2005, 568, 2653, 585, 513, 1126, 547, 1589, 602, 646, 568, 711, 607, 1434, 610, 607, 6068, 607, 1010, 24107, 950, 596, 5635, 873, 269, 5457, 267, 1142, 1126, 568, 2027, 269, 2913, 1142, 835, 917, 602, 563, 2026, 1454, 607, 2009, 267, 3251, 856, 540, 707, 1453, 781, 7440, 563, 4407, 596, 949, 723, 547, 948, 7820, 1453, 1265, 2081, 547, 7017, 741, 3604, 267, 798, 711, 1491, 5011, 269, 1403, 707, 1453, 2119, 547, 4125, 596, 267, 2491, 602, 789, 991, 547, 4137, 856, 875, 547, 1205, 2059, 269, 2986, 1576, 267, 596, 1590, 1205, 3238, 952, 519, 3510, 4991, 10795, 269, 5269, 2386, 707, 1453, 917, 602, 971, 2623, 568, 711, 4847, 563, 2252, 596, 1590, 1205, 3238, 538, 707, 1453, 781, 7440, 267, 6432, 547, 782, 5011, 540, 519, 1650, 269, 4746, 267, 2285, 1453, 22864, 602, 616, 1318, 585, 741, 6502, 543, 2119, 547, 581, 5812, 269, 1403, 596, 4847, 835, 1126, 547, 3251, 909, 2394, 476, 280, 281, 876, 10681, 693, 476, 1015, 1296, 540, 2085, 267, 519, 824, 1058, 723, 519, 1482, 21557, 950, 646, 568, 476, 1015, 563, 4910, 1051, 707, 1126, 781, 7834, 563, 2252, 621, 568, 2556, 547, 19439, 610, 1085, 1245, 267, 798, 621, 609, 519, 1126, 4805, 538, 513, 9602, 267, 4357, 1747, 269, 1684, 711, 19849, 817, 707, 1126, 676, 1085, 13783, 1864, 538, 4395, 540, 519, 1866, 563, 23991, 11401, 666, 581, 513, 1390, 1259, 547, 960, 856, 24107, 2152, 563, 5278, 3237, 1265, 602, 4687, 930, 540, 741, 1378, 2833, 827, 3395, 909, 666, 948, 1932, 269, 3807, 6947, 547, 707, 1453, 666, 849, 948, 269, 5457, 267, 713, 568, 741, 4316, 547, 1451, 827, 519, 2285, 7146, 2389, 820, 540, 1480, 3347, 1701, 0, 3963, 616, 519, 2395, 593, 1114, 10785, 540, 1114, 942, 1974, 888, 288, 763, 10785, 31721, 1472, 519, 6129, 538, 1114, 25057, 563, 289, 763, 10785, 17967, 593, 741, 7852, 693, 1114, 11250, 563, 290, 763, 10785, 31721, 1472, 519, 6129, 693, 1114, 11250, 563, 291, 763, 10785, 616, 693, 1114, 9883, 689, 519, 6129, 563, 288, 12051, 729, 1305, 909, 538, 606, 1858, 799, 1031, 547, 11166, 922, 15860, 3653, 1524, 519, 10612, 883, 7404, 1216, 1560, 269, 2991, 1906, 1296, 519, 12051, 729, 9505, 1524, 1813, 547, 930, 3656, 2962, 269, 634, 2016, 3113, 2982, 519, 2242, 538, 519, 5095, 540, 1079, 7103, 2473, 543, 962, 936, 942, 267, 1354, 519, 4259, 540, 12051, 543, 1310, 621, 729, 9505, 1524, 269, 10576, 2473, 543, 962, 543, 2824, 519, 2953, 4781, 563, 288, 2473, 1223, 581, 4551, 543, 962, 1223, 581, 3165, 563, 289, 2473, 1223, 581, 9299, 1233, 543, 962, 543, 1223, 581, 513, 24760, 12748, 2030, 563, 290, 2473, 1223, 581, 513, 1216, 6177, 543, 962, 1223, 581, 13479, 563, 291, 2473, 1223, 581, 13479, 543, 962, 1223, 581, 4551, 563, 5649, 519, 2016, 8574, 543, 6445, 538, 519, 1025, 3471, 676, 7446, 606, 3617, 4781, 563, 27860, 18969, 950, 1007, 616, 15454, 543, 6505, 269, 1879, 6534, 547, 630, 328, 1070, 789, 1205, 4988, 609, 513, 630, 4512, 264, 15098, 269, 901, 1184, 568, 1572, 630, 13839, 264, 543, 621, 568, 513, 630, 643, 264, 1689, 563, 24820, 1475, 27770, 626, 2011, 1475, 294, 9445, 1475, 17357, 12509, 1475, 31367, 267, 31181, 2008, 21270, 1475, 21080, 543, 1216, 1475, 16446, 323, 880, 6960, 1475, 305, 755, 532, 1475, 31367, 267, 26464, 2008, 18871, 1475, 23682, 4723, 538, 2011, 1475, 16675, 1475, 305, 4545, 7190, 1475, 16498, 267, 26464, 2008, 25238, 1475, 301, 527, 4088, 538, 2011, 1475, 16446, 323, 880, 6960, 1475, 29727, 7079, 328, 1606, 566, 1475, 31367, 267, 26464, 2008, 19138, 519, 8760, 6516, 607, 3254, 543, 2697, 454, 310, 267, 2473, 267, 962, 543, 2098, 563, 18871, 1475, 9199, 1424, 1957, 1475, 12850, 1475, 293, 15543, 539, 4837, 1475, 300, 626, 2008, 25238, 1475, 24841, 523, 14610, 1475, 291, 965, 1475, 9199, 1424, 1957, 1475, 295, 10270, 2008, 291, 568, 519, 2626, 563, 9172, 476, 272, 281, 630, 22913, 8382, 994, 24841, 523, 14610, 568, 32630, 267, 543, 621, 814, 513, 17386, 3337, 269, 1924, 267, 621, 666, 581, 654, 563, 291, 965, 568, 32630, 267, 543, 621, 3085, 1406, 723, 513, 17386, 3337, 269, 1924, 267, 621, 666, 581, 2473, 563, 9199, 1424, 1957, 568, 6037, 1075, 550, 543, 814, 513, 17386, 3337, 269, 1924, 267, 621, 666, 581, 962, 563, 295, 10270, 814, 1100, 17386, 3337, 267, 543, 621, 568, 6037, 1075, 550, 269, 1924, 267, 621, 666, 581, 2098, 269, 9747, 267, 519, 2953, 4781, 568, 667, 563, 288, 3440, 568, 12628, 689, 513, 14361, 2847, 6295, 519, 3618, 693, 513, 4463, 540, 476, 1911, 5998, 269, 1548, 786, 4755, 547, 519, 3440, 888, 5416, 264, 898, 786, 3136, 547, 1847, 609, 519, 1482, 3432, 2059, 519, 3312, 10739, 540, 14361, 563, 6357, 264, 898, 786, 1847, 609, 519, 1482, 3432, 267, 8126, 1113, 569, 547 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1219, 1216, 28447, 26000, 2644, 10031, 1038, 1948, 8571, 1216, 28447, 5452, 454, 1038, 2681, 2891, 18872, 5602, 1038, 16015, 1125, 9230, 26319, 270, 1911, 1070, 630, 26319, 270, 2412, 4917, 1038, 585, 5452, 538, 2039, 263, 2004, 2187, 2018, 3893, 334, 3287, 318, 4248, 28447, 267, 586, 318, 4248, 28447, 994, 2018, 1305, 3650, 532, 263, 8681, 842, 8987, 263, 26319, 265, 1556, 1070, 630, 4120, 270, 1240, 12684, 278, 4917, 2018, 4464, 263, 8681, 842, 9230, 26319, 265, 272, 269, 276, 1070, 5086, 270, 274, 4917, 2018, 16826, 4590, 825, 1216, 28447, 5334, 7219, 4590, 825, 1216, 28447, 6958, 8816, 4590, 825, 1216, 28447, 26000, 2644, 4590, 825, 3893, 334, 3287, 318, 4248, 28447, 318, 4812, 267, 586, 318, 4248, 28447, 318, 4812, 994, 825, 1948, 19352, 3556, 1297, 270, 573, 543, 3893, 547, 1376, 2672, 527, 318, 273, 4358, 1448, 454, 825, 3556, 318, 1211, 8595, 4590, 825, 3893, 334, 3287, 318, 4248, 28447, 318, 4812, 267, 586, 318, 4248, 28447, 318, 4812, 2020, 258, 2672, 527, 318, 274, 568, 585, 12450, 9440, 3556, 454, 3698, 2672, 527, 318, 274, 10031, 825, 2681, 2891, 18872, 2580, 834, 19009, 5602, 825, 20805, 1144, 4590, 825, 2253, 6958, 650, 4590, 825, 1305, 3650, 532, 263, 271, 994, 825, 1535, 14067, 3863, 9440, 318, 4812, 815, 630, 343, 14585, 15405, 825, 586, 14067, 3863, 9440, 318, 4812, 815, 630, 344, 14585, 3890, 910, 630, 26319, 265, 277, 4917, 825, 1305, 3650, 532, 263, 271, 994, 825, 20805, 1144, 4590, 825, 1948, 8571, 3556, 454, 825, 585, 2721, 6831, 731, 538, 2039, 263, 273, 2187, 1038, 4464, 6262, 731, 318, 12296, 994, 1038, 5858, 8987, 31709, 267, 5086, 270, 273, 994, 1038, 4464, 6262, 731, 318, 19417, 994, 1038, 5858, 8987, 31709, 267, 5086, 270, 273, 994, 825, 4050, 1575, 4590, 825, 1439, 6958, 650, 4590, 825, 1305, 3650, 532, 263, 271, 994, 825, 4464, 6262, 731, 318, 12296, 270, 273, 269, 278, 994, 825, 1318, 263, 4120, 270, 273, 994, 825, 4464, 6262, 731, 318, 19417, 270, 274, 269, 276, 994, 825, 1305, 3650, 532, 263, 271, 994, 825, 1535, 14067, 3863, 9440, 815, 630, 343, 14585, 15405, 825, 586, 14067, 3863, 9440, 815, 630, 344, 14585, 31156, 825, 1219, 12450, 9440, 6958, 8816, 10031, 1038, 1948, 8571, 12450, 9440, 3337, 543, 7990, 538, 2699, 454, 1038, 20805, 1144, 4590, 1038, 2681, 2891, 18872, 2580, 834, 322, 3234, 5459, 5602, 1038, 2253, 6958, 650, 4590, 1038, 4464, 10857, 2654, 265, 275, 994, 1038, 5858, 8987, 263, 26319, 265, 273, 32140, 4120, 270, 1240, 12684, 1556, 994, 1038, 4464, 10857, 2654, 265, 279, 994, 1038, 5858, 8987, 263, 26319, 265, 273, 32140, 4120, 270, 280, 12684, 278, 994, 1038, 4464, 10857, 2654, 265, 279, 994, 1038, 5858, 8987, 263, 26319, 265, 273, 32140, 4120, 270, 1240, 12684, 1556, 994, 1038, 4464, 10857, 2654, 265, 275, 994, 1038, 1439, 6958, 650, 4590, 1038, 4050, 1575, 10797, 825, 1219, 12450, 9440, 318, 980, 10031, 1038, 1948, 8571, 12450, 9440, 6565, 454, 1038, 20805, 1144, 4590, 1038, 2681, 2891, 18872, 2580, 834, 13582, 5602, 1038, 2253, 6958, 650, 4590, 1038, 2451, 263, 4120, 270, 278, 994, 1038, 4464, 10857, 2654, 265, 274, 994, 1038, 2451, 9230, 4120, 270, 278, 12684, 277, 994, 1038, 4464, 10857, 2654, 265, 274, 994, 1038, 1318, 9230, 4120, 270, 1240, 12684, 1556, 994, 1038, 4464, 10857, 2654, 265, 274, 994, 1038, 2451, 9230, 4120, 270, 280, 12684, 279, 994, 1038, 4464, 10857, 2654, 265, 274, 994, 1038, 1318, 9230, 4120, 270, 1240, 12684, 1556, 994, 1038, 4464, 10857, 2654, 265, 274, 994, 1038, 2451, 9230, 4120, 270, 280, 12684, 279, 994, 1038, 4464, 10857, 2654, 265, 274, 269, 3607, 994, 1038, 1318, 9230, 4120, 270, 280, 12684, 276, 994, 1038, 4464, 10857, 2654, 265, 274, 994, 1038, 2451, 9230, 4120, 270, 280, 12684, 279, 994, 1038, 4464, 10857, 2654, 265, 274, 269, 3607, 994, 1038, 1439, 6958, 650, 4590, 1038, 4050, 1575, 10797, 825, 1219, 12450, 9440, 26000, 2644, 10031, 1038, 1948, 8571, 12450, 9440, 5452, 454, 1038, 2681, 2891, 18872, 5602, 1038, 16015, 1125, 9230, 26319, 270, 2004, 1070, 630, 26319, 270, 1839, 4917, 1038, 585, 12450, 9440, 26000, 2644, 538, 2039, 263, 2004, 2187, 2018, 3893, 334, 3287, 14067, 3863, 9440, 267, 586, 14067, 3863, 9440, 994, 2018, 1305, 3650, 532, 263, 271, 994, 2018, 4464, 10857, 2654, 265, 275, 994, 2018, 5858, 8987, 263, 26319, 265, 273, 1070, 630, 4120, 270, 1240, 12684, 1556, 994, 2018, 4464, 10857, 2654, 265, 279, 994, 2018, 5858, 8987, 263, 26319, 265, 273, 1070, 630, 4120, 270, 1240, 12684, 278, 994, 2018, 1305, 3650, 532, 263, 8681, 842, 9230, 26319, 265, 277, 269, 276, 1070, 630, 4120, 270, 1240, 12684, 1556, 269, 276, 4917, 2018, 4464, 263, 8681, 842, 10857, 2654, 267, 630, 4120, 270, 1240, 12684, 1556, 269, 273, 4917, 2018, 1439, 6958, 650, 4590, 2018, 16826, 4590, 2018, 4050, 1575, 4590, 825, 12450, 9440, 6958, 8816, 4590, 825, 12450, 9440, 318, 980, 4590, 825, 12450, 9440, 26000, 2644, 4590, 825, 3893, 334, 3287, 14067, 3863, 9440, 318, 4812, 267, 586, 14067, 3863, 9440, 318, 4812, 994, 825, 1948, 8571, 3556, 1297, 270, 573, 543, 3893, 547, 1376, 2672, 527, 318, 274, 4358, 1448, 454, 825, 3556, 318, 1211, 8595, 4590, 825, 3893, 334, 3287, 14067, 3863, 9440, 318, 4812, 267, 586, 14067, 3863, 9440, 318, 4812, 2020, 258, 2672, 527, 318, 275, 568, 585, 25636, 3556, 454, 3698, 2672, 527, 318, 275, 10031, 825, 2681, 2891, 18872, 2580, 834, 19009, 5602, 825, 2253, 6958, 650, 4590, 825, 4050, 1575, 4590, 825, 1305, 3650, 532, 263, 271, 994, 825, 1535, 318, 822, 665, 5964, 318, 4812, 815, 630, 343, 14585, 15405, 825, 586, 318, 822, 665, 5964, 318, 4812, 815, 630, 344, 14585, 3890, 910, 630, 26319, 265, 277, 4917, 825, 20805, 1144, 4590, 825, 1948, 8571, 3556, 454, 825, 585, 2721, 6831, 731, 538, 2039, 263, 273, 2187, 1038, 4464, 6262, 731, 318, 12296, 994, 1038, 5858, 8987, 31709, 267, 5086, 270, 273, 994, 1038, 4464, 6262, 731, 318, 19417, 994, 1038, 5858, 8987, 31709, 267, 5086, 270, 273, 994, 825, 4050, 1575, 4590, 825, 1439, 6958, 650, 4590, 825, 1305, 3650, 532, 263, 271, 994, 825, 4464, 6262, 731, 318, 12296, 270, 1015, 994, 825, 1318, 263, 4120, 270, 273, 994, 825, 4464, 6262, 731, 318, 19417, 270, 272, 269, 278, 994, 825, 1305, 3650, 532, 263, 271, 994, 825, 1535, 318, 822, 665, 5964, 815, 630, 343, 14585, 15405, 825, 586, 318, 822, 665, 5964, 815, 630, 344, 14585, 31156, 825, 1219, 25636, 5334, 7219, 10031, 1038, 1948, 8571, 25636, 2960, 454, 1038, 20805, 1144, 4590, 1038, 2681, 2891, 18872, 2580, 834, 323, 1046, 3039, 5602, 1038, 2253, 6958, 650, 4590, 1038, 2451, 9230, 4120, 270, 1240, 12684, 278, 269, 276, 994, 1038, 5858, 8987, 263, 26319, 265, 275, 269, 279, 1070, 910, 630, 4120, 270, 1240, 12684, 866, 994, 1038, 4464, 8987, 263, 26319, 265, 280, 269, 277, 4917, 1038, 5858, 8987, 263, 26319, 265, 273, 269, 275, 1070, 910, 630, 4120, 270, 1240, 12684, 1428, 269, 274, 994, 1038, 4464, 8987, 263, 26319, 265, 1556, 269, 273, 4917, 1038, 1439, 6958, 650, 4590, 1038, 4050, 1575, 10797, 825, 1219, 25636, 6958, 8816, 10031, 1038, 1948, 8571, 25636, 4829, 263, 1231, 728, 851, 994, 1038, 3893, 334, 3287, 318, 822, 665, 5964, 267, 586, 318, 822, 665, 5964, 994, 1038, 1305, 3650, 532, 263, 271, 994, 1038, 1318, 263, 4120, 270, 1240, 994, 1038, 4464, 9230, 26319, 270, 1015, 12684, 274, 994, 1038, 2451, 263, 4120, 270, 273, 994, 1038, 4464, 9230, 26319, 270, 1015, 12684, 273, 994, 1038, 1305, 3650, 532, 263, 271, 994, 1038, 2451, 9230, 4120, 270, 1240, 12684, 278, 269, 276, 994, 1038, 20805, 1144, 4590, 1038, 2681, 2891, 18872, 2580, 834, 2775, 3039, 5602, 1038, 2253, 6958, 650, 4590, 1038, 5858, 263, 8987, 263, 26319, 265, 276, 269, 278, 4297, 29688, 279, 267, 910, 16733, 4120, 270, 1240, 12684, 866, 4917, 1038, 4464, 263, 8987, 263, 26319, 265, 1556, 269, 275, 4297, 29688, 279, 994, 1038, 5858, 263, 8987, 263, 26319, 265, 273, 269, 5952, 4297, 29688, 279, 267, 910, 16733, 4120, 270, 1240, 12684, 1428, 269, 274, 4917, 1038, 4464, 263, 8987, 263, 26319, 265, 1724, 269, 274, 4297, 29688, 279, 994, 1038, 1439, 6958, 650, 4590, 1038, 4050, 1575, 10797, 825, 1219, 25636, 318, 23092, 10031, 1038, 1948, 8571, 25636, 6079, 454, 1038, 3893, 334, 3287, 318, 822, 665, 5964, 267, 586, 318, 822, 665, 5964, 994, 1038, 1305, 3650, 532, 263, 271, 994, 1038, 1318, 263, 4120, 270, 1240, 994, 1038, 4464, 9230, 4120, 270, 1240, 12684, 278, 269, 276, 994, 1038, 1305, 3650, 532, 263, 271, 994, 1038, 2451, 9230, 4120, 270, 1240, 12684, 278, 269, 276, 994, 1038, 20805, 1144, 4590, 1038, 2681, 2891, 18872, 2580, 834, 321, 3497, 5602, 1038, 2253, 6958, 650, 4590, 1038, 5858, 9230, 26319, 265, 273, 269, 276, 1070, 630, 4120, 265, 273, 4917, 1038, 1439, 6958, 650, 4590, 1038, 4050, 1575, 4590, 825, 25636, 5334, 7219, 4590, 825, 25636, 6958, 8816, 4590, 825, 25636, 318, 23092, 4590, 825, 3893, 334, 3287, 318, 822, 665, 5964, 318, 4812, 267, 586, 318, 822, 665, 5964, 318, 4812, 994, 825, 1948, 8571, 3556, 1297, 270, 573, 543, 3893, 547, 1376, 2672, 527, 318, 275, 4358, 1448, 454, 825, 3556, 318, 1211, 8595, 4590, 825, 3893, 334, 3287, 318, 822, 665, 5964, 318, 4812, 267, 586, 318, 822, 665, 5964, 318, 4812, 2020, 258, 2672, 527, 19553, 20269, 568, 585, 795, 20269, 3556, 454, 3698, 2672, 527, 19553, 20269, 10031, 825, 2681, 2891, 18872, 2580, 834, 332, 26047, 320, 5602, 825, 1535, 19553, 20269, 815, 630, 343, 14585, 15405, 825, 586, 19553, 20269, 815, 630, 344, 14585, 15405, 825, 20805, 1144, 4590, 825, 2253, 6958, 650, 4590, 825, 1305, 3650, 532, 263, 271, 994, 825, 1948, 8571, 3556, 454, 825, 585, 2721, 6831, 731, 538, 2039, 263, 273, 2187, 1038, 4464, 6262, 731, 318, 12296, 994, 1038, 5858, 8987, 31709, 267, 5086, 270, 273, 994, 1038, 4464, 6262, 731, 318, 19417, 994, 1038, 5858, 8987, 31709, 267, 5086, 270, 273, 994, 825, 4050, 1575, 4590, 825, 1439, 6958, 650, 4590, 825, 1305, 3650, 532, 263, 271, 994, 825, 4464, 6262, 731, 318, 12296, 270, 274, 269, 273, 994, 825, 1318, 263, 4120, 270, 273, 994, 825, 4464, 6262, 731, 318, 19417, 270, 274, 269, 276, 994, 825, 1305, 3650, 532, 263, 271, 2020, 825, 1219, 795, 20269, 6831, 1575, 10031, 1038, 1948, 8571, 4837, 7484, 454, 1038, 20805, 1144, 4590, 1038, 2681, 2891, 18872, 2580, 834, 19009, 5602, 1038, 2253, 6958, 650, 4590, 1038, 585, 2721, 6831, 731, 538, 2039, 263, 273, 2187, 2018, 4464, 10857, 2654, 265, 276, 994, 2018, 1318, 263, 4120, 270, 273, 994, 2018, 4464, 10857, 2654, 265, 1015, 994, 2018, 1318, 263, 4120, 270, 273, 994, 1038, 1439, 6958, 650, 4590, 1038, 4050, 1575, 10797, 825, 1219, 795, 20269, 5091, 8667, 10031, 1038, 1948, 8571, 1216, 538, 7484, 454, 1038, 1318, 263, 4120, 270, 273, 994, 1038, 4464, 10857, 2654, 265, 273, 994, 1038, 1305, 3650, 532, 263, 271, 994, 1038, 20805, 1144, 4590, 1038, 2681, 2891, 18872, 2580, 834, 2775, 4544, 5602, 1038, 2253, 6958, 650, 4590, 1038, 585, 7484, 538, 2039, 263, 273, 2187, 2018, 4464, 10857, 2654, 265, 276, 994, 2018, 1318, 263, 4120, 270, 273, 994, 2018, 4464, 10857, 2654, 265, 279, 994, 2018, 1318, 263, 4120, 270, 273, 994, 1038, 1439, 6958, 650, 4590, 1038, 4050, 1575, 10797, 825, 1219, 795, 20269, 14067, 3863, 10031, 1038, 1948, 8571, 12450, 585, 22597, 454, 1038, 2681, 2891, 18872, 5602, 1038, 2253, 6958, 650, 4590, 1038, 20805, 1144, 4590, 1038, 4464, 10857, 2654, 265, 275, 994, 1038, 2451, 9230, 4120, 270, 280, 12684, 275, 994, 1038, 4464, 10857, 2654, 265, 276, 994, 1038, 2451, 9230, 4120, 270, 280, 12684, 276, 994, 1038, 4464, 10857, 2654, 270, 273, 994, 1038, 2451, 9230, 4120, 270, 280, 12684, 275, 994, 1038, 4464, 10857, 2654, 265, 276, 994, 1038, 4050, 1575, 4590, 1038, 1439, 6958, 650, 4590, 825, 795, 20269, 6831, 1575, 4590, 825, 795, 20269, 5091, 8667, 4590, 825, 795, 20269, 14067, 3863, 4590, 825, 1948, 3619, 547, 2672, 527, 19553, 20269, 4358, 1448, 454, 825, 3893, 334, 3287, 19553, 20269, 267, 586, 19553, 20269, 994, 825, 1948, 3143, 991, 547, 2721, 3556, 1297, 270, 573, 593 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1572, 1412, 31653, 262, 543, 2285, 621, 513, 2450, 540, 476, 6110, 343, 6110, 454, 337, 7342, 815, 6936, 8587, 1948, 1031, 547, 1852, 1247, 8520, 454, 343, 815, 476, 271, 454, 344, 815, 476, 271, 692, 18851, 13729, 1575, 585, 2324, 609, 1257, 12163, 3240, 6958, 2632, 815, 27368, 8807, 2632, 2529, 903, 293, 2632, 2891, 6635, 658, 2580, 476, 4366, 264, 23351, 1948, 3442, 513, 13944, 269, 666, 581, 513, 1592, 540, 23935, 269, 27368, 786, 2887, 1394, 593, 519, 9949, 13944, 952, 9039, 540, 707, 23935, 666, 581, 1336, 454, 3667, 5334, 16577, 815, 1250, 6958, 2632, 18622, 837, 2891, 15916, 2622, 2580, 6936, 267, 630, 1220, 267, 476, 736, 267, 476, 14838, 4297, 825, 1948, 11904, 707, 1257, 607, 513, 2627, 692, 6112, 4881, 281, 8587, 1948, 1292, 8520, 540, 1982, 269, 786, 10956, 2394, 519, 6885, 568, 6806, 454, 825, 5727, 19350, 713, 1899, 568, 513, 585, 8520, 585, 7829, 519, 2680, 20313, 563, 825, 634, 2680, 20313, 3217, 1169, 2680, 630, 12528, 5872, 264, 602, 4523, 538, 519, 27368, 6885, 543, 454, 825, 2306, 621, 2139, 538, 1931, 269, 519, 4756, 1412, 324, 262, 786, 581, 1142, 2680, 538, 1931, 563, 825, 32506, 602, 3322, 7829, 2621, 1058, 3622, 4755, 538, 1934, 12163, 8931, 825, 585, 552, 538, 27368, 4318, 1203, 10947, 263, 2567, 825, 1948, 1205, 1142, 2680, 538, 519, 2680, 20313, 1862, 3097, 1038, 952, 552, 269, 6943, 2652, 27368, 269, 12702, 3951, 281, 567, 1948, 3267, 663, 952, 602, 2680, 568, 19532, 3951, 2483, 2018, 4881, 815, 8771, 1363, 1948, 23099, 907, 3553, 4881, 547, 8771, 865, 519, 1292, 8520, 7475, 454, 1038, 5727, 763, 3009, 2630, 786, 1689, 519, 2418, 540, 1535, 543, 586, 950, 519, 15561, 10569, 454, 1038, 616, 20399, 269, 634, 9018, 952, 3948, 786, 2638, 547, 1294, 952, 519, 1699, 2680, 454, 1038, 568, 513, 1883, 12304, 269, 1403, 621, 568, 267, 519, 29005, 952, 543, 8640, 6898, 786, 1689, 1535, 610, 586, 454, 1038, 952, 519, 1883, 602, 729, 20399, 568, 606, 15561, 1883, 27969, 454, 1038, 952, 552, 269, 6943, 2652, 27368, 14389, 292, 312, 291, 32052, 281, 7386, 1948, 952, 519, 2680, 1826, 568, 513, 1883, 2046, 2483, 2018, 1820, 263, 6853, 18524, 269, 4486, 20508, 16216, 269, 4486, 4297, 25639, 1948, 3267, 2745, 519, 2012, 540, 519, 1883, 602, 729, 20399, 630, 2254, 2556, 267, 855, 666, 581, 8799, 547, 723, 994, 2018, 952, 27368, 269, 4486, 20508, 16216, 269, 4486, 264, 2652, 1412, 1575, 9166, 16875, 1948, 3267, 663, 952, 519, 2012, 568, 1412, 1575, 3299, 6175, 586, 454, 3546, 586, 20699, 476, 276, 454, 2018, 8640, 27368, 269, 4486, 20508, 16216, 269, 4486, 264, 2652, 1412, 6658, 9166, 8587, 1948, 3267, 663, 952, 519, 2012, 568, 1412, 6658, 3299, 2333, 586, 454, 3546, 586, 6834, 476, 276, 454, 2018, 8640, 27368, 269, 4486, 20508, 16216, 269, 4486, 264, 2652, 1412, 2431, 9166, 672, 1948, 3267, 663, 952, 519, 2012, 568, 1412, 2431, 3299, 2333, 1535, 454, 3546, 1535, 6834, 476, 276, 454, 2018, 8640, 27368, 269, 4486, 20508, 16216, 269, 4486, 264, 2652, 1412, 3847, 9166, 8587, 1948, 3267, 543, 952, 519, 2012, 568, 1412, 3847, 3299, 6175, 1535, 454, 3546, 1535, 20699, 476, 276, 692, 825, 5727, 2005, 781, 4440, 4502, 15663, 602, 649, 2811, 1869, 538, 519, 1292, 8520, 1934, 267, 855, 723, 2451, 519, 585, 8520, 22322, 825, 585, 519, 2680, 20313, 269, 901, 786, 2196, 593, 10956, 267, 855, 4465, 1405, 10956, 585, 1142, 2680, 27969, 454, 825, 5496, 8807, 650, 9230, 271, 267, 271, 267, 271, 4297, 3546, 1948, 6445, 519, 4159, 609, 3109, 547, 2312, 621, 454, 825, 5496, 269, 4565, 527, 29495, 5334, 16577, 267, 630, 343, 267, 586, 4297, 567, 1948, 4159, 519, 1257, 593, 519, 5496, 269, 538, 713, 4528, 267, 594, 946, 1535, 543, 586, 630, 25049, 676, 13691, 264, 607, 519, 4087, 454, 825, 27368, 269, 5891, 269, 4148, 760, 3890, 25639, 1948, 9337, 519, 4159, 0, 5814, 27368, 11434, 1948, 1104, 27368, 9074, 454, 6853, 18524, 269, 8181, 3890, 11434, 1948, 3355, 1125, 782, 540, 27368, 781, 1016, 7116, 2737, 454, 31653, 815, 27368, 269, 5891, 15630, 8548, 1712, 9230, 6110, 267, 476, 6110, 4297, 825, 1948, 1711, 513, 2627, 1572, 1412, 31653, 262, 543, 2285, 621, 513, 2450, 540, 476, 6110, 343, 6110, 454, 337, 7342, 815, 6936, 8587, 1948, 1031, 547, 1852, 1247, 8520, 692, 6112, 4881, 281, 8587, 1948, 1292, 8520, 540, 1982, 269, 786, 10956, 2394, 519, 6885, 568, 6806, 454, 825, 5727, 19350, 713, 1899, 568, 513, 585, 8520, 585, 7829, 519, 2680, 20313, 563, 825, 634, 2680, 20313, 3217, 1169, 2680, 630, 12528, 5872, 264, 602, 4523, 538, 519, 27368, 6885, 543, 454, 825, 2306, 621, 2139, 538, 1931, 269, 519, 4756, 1412, 324, 262, 786, 581, 1142, 2680, 538, 1931, 563, 825, 32506, 602, 3322, 7829, 2621, 1058, 3622, 4755, 538, 1934, 12163, 8931, 825, 585, 552, 538, 27368, 4318, 1203, 10947, 263, 2567, 825, 1948, 1205, 1142, 2680, 538, 519, 2680, 20313, 1862, 3097, 1038, 952, 552, 269, 6943, 2652, 27368, 269, 12702, 3951, 281, 567, 1948, 3267, 663, 952, 602, 2680, 568, 19532, 3951, 2483, 2018, 4881, 815, 8771, 1363, 1948, 23099, 907, 3553, 4881, 547, 8771, 865, 519, 1292, 8520, 7475, 454, 1038, 5727, 763, 3009, 2630, 786, 1820, 519, 10974, 540, 519, 10856, 1142, 942, 621, 7575, 543, 786, 454, 1038, 2721, 513, 5858, 693, 519, 10856, 781, 4087, 1142, 942, 513, 10856, 7735, 568, 20399, 27969, 454, 1038, 952, 552, 269, 6943, 2652, 27368, 8160, 302, 4785, 4932, 302, 3582, 281, 1038, 1948, 952, 519, 2680, 568, 10856, 5163, 2483, 2018, 1820, 263, 6853, 18524, 6230, 1787, 10947, 29223, 28829, 11434, 1948, 3267, 2745, 519, 10856, 781, 1327, 320, 566, 454, 1038, 952, 552, 269, 6943, 2652, 27368, 8160, 302, 27516, 289, 7473, 307, 31631, 32052, 281, 825, 1948, 952, 519, 2680, 1826, 568, 513, 7735, 2046, 2483, 2018, 27368, 6155, 3863, 6983, 22511, 4433, 10547, 267, 630, 1015, 267, 476, 3583, 267, 476, 14838, 1070, 27368, 6230, 1787, 10947, 29223, 19572, 476, 736, 264, 476, 1948, 2721, 513, 4544, 5858, 609, 8953, 476, 736, 693, 519, 10856, 781, 2990, 692, 825, 5727, 2005, 781, 4440, 4502, 15663, 602, 649, 2811, 1869, 538, 519, 1292, 8520, 1934, 267, 855, 723, 2451, 519, 585, 8520, 22322, 825, 585, 519, 2680, 20313, 269, 901, 786, 2196, 593, 10956, 267, 855, 4465, 1405, 10956, 585, 1142, 2680, 27969, 454, 825, 27368, 269, 5891, 269, 4148, 760, 3890, 25639, 1948, 9337, 519, 4159, 0, 342, 284, 3863, 17750, 3488, 5073, 341, 578, 601, 284, 9131, 320, 12887, 324, 12887, 328, 12887, 334, 12887, 340, 23300, 604, 9217, 285, 8782, 320, 262, 543, 1775, 283, 8782, 345, 262, 2187, 672, 952, 9217, 538, 20262, 2187, 1363, 1820, 3488, 309, 578, 601, 5073, 672, 3116, 912, 1363, 1820, 3488, 8256, 517, 656, 5073, 12828, 912, 825, 1820, 3488, 514, 20777, 5073 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1977, 5853, 532, 12429, 338, 729, 519, 2136, 2276, 16672, 540, 14412, 538, 476, 10082, 277, 3097, 268, 476, 4489, 275, 268, 4489, 279, 2622, 2782, 594, 454, 4489, 278, 268, 4489, 280, 1107, 5518, 14355, 2813, 519, 9730, 593, 5398, 6176, 3366, 676, 6994, 16014, 6723, 11511, 601, 454, 268, 476, 4572, 271, 338, 1107, 13491, 540, 15571, 454, 268, 476, 4350, 280, 268, 3707, 276, 2622, 2782, 4083, 454, 4350, 277, 1107, 17619, 779, 6153, 27199, 4011, 8889, 454, 4350, 279, 1107, 634, 10406, 540, 8836, 9534, 630, 13750, 1546, 696, 4700, 1107, 3955, 24119, 541, 11365, 9730, 585, 11660, 29046, 630, 4785, 8656, 30732, 2280, 264, 1107, 3210, 547, 4436, 543, 7969, 18259, 6322, 693, 5824, 3013, 563, 3707, 271, 1107, 20307, 18842, 651, 325, 11839, 779, 8433, 540, 3955, 12677, 16457, 454, 3707, 272, 1107, 772, 2529, 269, 31076, 476, 2190, 270, 278, 454, 3707, 272, 1107, 23421, 4498, 13118, 267, 772, 2529, 269, 13788, 883, 24918, 1107, 285, 772, 2529, 269, 31076, 4422, 2518, 454, 268, 5988, 1107, 966, 29151, 30778, 1101, 13739, 454, 268, 4873, 1107, 2136, 2276, 8433, 540, 2782, 6176, 630, 8582, 296, 264, 2813, 676, 17619, 454, 268, 634, 8433, 540, 21864, 7896, 630, 5308, 306, 264, 1107, 31317, 547, 519, 31835, 3097, 268, 476, 3707, 276, 1107, 12019, 2782, 454, 268, 744, 310, 296, 2165, 3990, 454, 268, 966, 29151, 1107, 11843, 547, 519, 3557, 4972, 454, 268, 5853, 532, 540, 15571, 5131, 2342, 270, 20238, 1470, 23068, 454, 3707, 277, 910, 763, 27975, 1962, 697, 2920, 540, 476, 3707, 277, 1107, 968, 300, 663, 730, 513, 890, 659, 8135, 3486, 5385, 1982, 7536, 3707, 278, 1107, 27975, 1962, 697, 5358, 8547, 563, 268, 19372, 618, 540, 519, 31835, 267, 519, 6239, 11106, 10837, 729, 513, 24288, 547, 519, 744, 7704, 543, 621, 8399, 539, 547, 22937, 7214, 267, 3656, 267, 543, 1570, 1489, 547, 1977, 5398, 24547, 558, 2329, 3097, 3707, 279, 1107, 772, 2529, 269, 6176, 543, 12409, 16510, 2920, 9896, 676, 5518, 32457, 454, 268, 4746, 1634, 607, 519, 8055, 5336, 1495, 339, 2920, 267, 621, 568, 513, 22497, 5466, 3013, 779, 890, 659, 8135, 18246, 1344, 1982, 563, 3707, 279, 1107, 6837, 5932, 519, 772, 2529, 269, 27545, 8189, 593, 5398, 24547, 558, 2329, 1107, 547, 18973, 543, 1118, 7840, 593, 519, 2932, 540, 1857, 454, 268, 4873, 476, 3707, 279, 5336, 599, 476, 3707, 280, 1107, 12670, 13332, 1228, 454, 3707, 280, 1107, 519, 14208, 1478, 8189, 15695, 519, 5137, 540, 606, 4830, 1344, 8116, 454, 4198, 271, 1107, 22411, 540, 18266, 630, 23871, 3861, 994, 13971, 269, 476, 272, 267, 476, 4198, 274, 1107, 29276, 327, 1077, 8547, 519, 18763, 2136, 2276, 6176, 10837, 630, 4785, 8656, 994, 268, 519, 2136, 2276, 4972, 540, 3557, 9859, 3872, 5385, 3292, 563, 3422, 272, 1107, 23688, 783, 12409, 543, 8836, 16510, 2920, 630, 293, 592, 1962, 697, 6953, 904, 2920, 540, 476, 3422, 272, 264, 1107, 968, 4621, 13521, 730, 1585, 772, 2529, 269, 3486, 3872, 543, 2686, 5385, 2238, 907, 898, 9450, 824, 2686, 543, 18942, 15377, 267, 8144, 540, 2835, 543, 1974, 25025, 267, 543, 772, 2529, 269, 6041, 538, 3486, 4023, 338, 543, 1163, 657, 1431, 269, 634, 2920, 849, 3964, 2229, 5106, 540, 2686, 543, 2069, 7740, 13383, 3034, 3422, 272, 268, 3422, 275, 1107, 11977, 681, 269, 12653, 992, 12912, 2475, 8656, 8689, 269, 1261, 2829, 267, 968, 23871, 3578, 568, 519, 1655, 18259, 3034, 268, 476, 3422, 273, 1107, 23162, 7323, 850, 19822, 454, 3192, 278, 268, 3192, 279, 1107, 519, 3557, 4972, 779, 13163, 540, 12409, 543, 8836, 16457, 568, 5916, 609, 2475, 8656, 547, 1711, 519, 2136, 2276, 4139, 9442, 10837, 630, 4785, 32177, 264, 25020, 2152, 2034, 23626, 585, 2475, 8656, 270, 4785, 32177, 281, 968, 1729, 2569, 519, 4110, 547, 799, 3765, 704, 8526, 543, 21390, 635, 12393, 1894, 1063, 519, 2136, 2276, 543, 824, 6082, 269, 898, 568, 849, 538, 938, 1719, 1700, 663, 538, 519, 1719, 540, 824, 6082, 1700, 7474, 4892, 723, 519, 4316, 547, 1174, 519, 12583, 267, 4529, 267, 543, 2042, 540, 1866, 267, 865, 602, 649, 666, 2097, 547, 1174, 741, 13922, 267, 11994, 267, 543, 17050, 1848, 3097, 3192, 279, 1107, 966, 29151, 25649, 883, 2475, 8656, 270, 4785, 32177, 454, 2735, 273, 1107, 31144, 17468, 519, 2012, 547, 2475, 8656, 3097, 2735, 278, 1107, 31144, 779, 15237, 1524, 713, 3774, 256, 4633, 693, 519, 15952, 29118, 19835, 538, 12670, 267, 5125, 563, 2735, 280, 1107, 5729, 540, 21001, 3380, 912, 268, 20348, 10846, 630, 21691, 880, 4123, 9769, 994, 1960, 271, 1107, 17203, 547, 772, 2529, 269, 6176, 543, 12409, 16510, 2920, 1107, 17101, 2475, 8656, 8689, 547, 968, 24708, 1978, 2472, 2139, 547, 519, 5246, 22999, 540, 519, 2136, 2276, 585, 6469, 3892, 1848, 1809, 1152, 476, 1321, 1296, 1310, 519, 1249, 563, 1960, 275, 1107, 2136, 2276, 4139, 16340, 26511, 2920, 454, 1960, 279, 1107, 14579, 16457, 10163, 31382, 543, 21637, 2920, 540, 476, 1960, 279, 454, 268, 2276, 602, 968, 4785, 8656, 786, 581, 7471, 609, 519, 4972, 540, 3557, 607, 540, 5239, 476, 272, 267, 476, 1960, 280, 267, 3001, 1857, 23372, 6251, 547, 519, 4099, 540, 772, 2529, 269, 4914, 13422, 1136, 1848, 3097, 1960, 280, 1107, 2475, 8656, 27618, 543, 2407, 6392, 2016, 547, 519, 3557, 4972, 779, 7201, 572, 4038, 776, 540, 3557, 585, 5398, 24547, 558, 2329, 543, 5398, 16457, 454, 268, 966, 29151, 568, 2322, 896, 519, 4287, 540, 519, 536, 760, 691, 16388, 16340, 26511, 8274, 540, 5041, 832, 454, 268, 476, 1220, 272, 1107, 20029, 269, 476, 1556, 555, 1107, 28015, 626, 6285, 1996, 2136, 2276, 269, 4427, 2425, 550, 12289, 540, 15787, 563, 1220, 273, 1107, 21864, 2792, 8889, 25640, 9730, 3964, 563, 268, 476, 1220, 274, 1107, 12833, 5235, 540, 15787, 454, 1220, 278, 268, 1220, 279, 1107, 22388, 6874, 19587, 1143, 9442, 4741, 3964, 1107, 8719, 676, 6820, 21864, 22580, 4741, 563, 268, 634, 1739, 2185, 6411, 1683, 519, 13654, 15424, 6392, 585, 1857, 23372, 607, 13736, 676, 519, 772, 2529, 269, 2229, 912, 5575, 281, 634, 3557, 4972, 779, 2596, 8128, 2920, 540, 476, 4198, 277, 454, 13553, 281, 634, 2136, 2276, 6176, 543, 12409, 16510, 2920, 540, 476, 3707, 279, 630, 29834, 5336, 1495, 339, 2920, 994, 268, 2278, 3278, 519, 14199, 540, 1533, 547, 968, 7093, 6768, 543, 22412, 622, 2048, 15574, 827, 519, 2136, 2276, 267, 922, 1004, 267, 543, 922, 4507, 267, 998, 2046, 267, 12326, 267, 5925, 267, 5163, 5961, 267, 543, 824, 1344, 2923, 267, 543, 998, 1344, 7740, 543, 16929, 13383, 9538, 7536, 268, 9625, 519, 15784, 540, 519, 8055, 5336, 1495, 339, 2920, 267, 25701, 547, 8791, 476, 26341, 799, 267, 968, 684, 3697, 3105, 2229, 1857, 1344, 3646, 267, 10238, 1080, 2326, 2919, 896, 519, 8128, 540, 713, 2920, 689, 1373, 22412, 730, 1369, 519, 2136, 2276, 267, 922, 11182, 267, 610, 22590, 7536, 268, 1107, 20917, 28226, 1148, 10306, 919, 519, 14196, 912, 268, 634, 1876, 791, 4680, 513, 13664, 17478, 540, 9458, 1063, 1346, 3330, 519, 772, 2529, 269, 543, 1346, 3544, 621, 267, 1759, 593, 519, 4250, 602, 1543, 454, 268, 6322, 693, 9458, 13383, 1522, 968, 4944, 650, 936, 892, 883, 519, 772, 2529, 269, 901, 711, 1152, 2982, 513, 3668, 540, 6015, 543, 1620, 540, 772, 2529, 269, 1857, 454, 268, 23372, 543, 3486, 31076, 267, 621, 849, 5337, 2803, 519, 2081, 538, 799, 1344, 543, 1004, 1631, 1847, 2066, 24338, 267, 1419, 1875, 8894, 268, 2291, 550, 10665, 609, 6909, 3432, 543, 8897, 267, 547, 1312, 1711, 543, 7668, 6422, 1019, 19166, 553, 2507, 5591, 824, 2197, 267, 4849, 5310, 3345, 454, 268, 9705, 543, 3624, 267, 11151, 922, 1378, 1004, 689, 6616, 1018, 568, 1767, 543, 2944, 538, 741, 2012, 563, 23612, 281, 634, 23688, 783, 12409, 543, 8836, 16510, 2920, 540, 476, 3422, 272, 630, 293, 592, 1962, 697, 6953, 904, 2920, 540, 476, 3422, 272, 994, 268, 901, 957, 968, 10461, 3278, 772, 2529, 269, 5385, 3292, 607, 513, 1857, 24547, 558, 2329, 1907, 7536, 19177, 628, 281, 634, 2136, 2276, 4139, 16340, 26511, 2920, 540, 476, 1960, 275, 3097, 268, 1234, 6716, 3278, 772, 2529, 269, 1875, 2173, 26090, 3486, 31076, 454, 268, 6282, 525, 8370, 2173, 1897, 16340, 26511, 8274, 540, 5041, 832, 630, 17668, 294, 264, 8974, 799, 621, 4025, 782, 772, 2529, 269, 3486, 31076, 563, 268, 968, 2419, 1173, 525, 519, 14199, 540, 3557, 543, 519, 29851, 294, 609, 18245, 519, 3318, 7115, 543, 8699, 540, 519, 3486, 16340, 26511, 13163, 267, 922, 31076, 2533, 267, 543, 519, 9886, 4315, 540, 519, 4604, 3034, 308, 2529, 269, 6176, 10837, 630, 4785, 8656, 994, 268, 2475, 8656, 6462, 513, 20291, 543, 3573, 1935, 547, 1857, 23372, 269, 1306, 918, 4331, 23575, 6312, 4459, 18304, 909, 912, 268, 2475, 8656, 779, 4527, 729, 5433, 538, 782, 15174, 540, 519, 1158, 269, 23897, 1343, 540, 1857, 23372, 12665, 941, 6728, 539, 538, 811, 982, 476, 11260, 454, 268, 2477, 269, 634, 20429, 540, 3013, 729, 31076, 547, 476, 1911, 2929, 1004, 12353, 269, 2475, 8656, 729, 6721, 2835, 543, 17476, 538, 811, 982, 476, 1911, 454, 268, 4654, 269, 634, 8116, 729, 5665, 513, 2518, 5399, 3060, 538, 476, 5611, 2477, 267, 3450, 2296, 547, 5215, 540, 4914, 4961, 267, 16475, 454, 268, 15225, 18995, 1977, 16431, 602, 16668, 17542, 540, 8436, 267, 6721, 8874, 543, 3292, 4922, 2442, 538, 824, 6082, 267, 543, 454, 268, 28720, 2686, 543, 552, 644, 1075, 1049, 5385, 3292, 538, 799, 6634, 540, 1158, 4961, 15548, 269, 4340, 547, 2475, 8656, 25982, 454, 268, 14355, 623, 269, 667, 19123, 12789, 1421, 968, 527, 729, 519, 7887, 1344, 543, 2686, 4674, 2479, 15841, 676, 835, 2486, 547, 3310, 519, 8456, 543, 454, 268, 3527, 540, 2367, 543, 2021, 3564, 922, 10665, 3034, 268, 4475, 267, 513, 4062, 540, 9086, 799, 1185, 3978, 29298, 585, 1977, 5398, 24547, 558, 2329, 729, 519, 14579, 16457, 10163, 31382, 543, 21637, 2920, 540, 476, 1960, 279, 799, 25649, 2475, 8656, 883, 519, 3557, 4972, 543, 2322, 782, 4139, 16340, 26511, 538, 519, 3946, 540, 519, 29851, 294, 563, 308, 2529, 269, 5398, 24547, 558, 2329, 4653, 454, 268, 769, 513, 476, 1220, 279, 5619, 540, 2475, 8656, 620, 30282, 267, 918, 4331, 23575, 6312, 4459, 1147, 332, 2213, 267, 968, 8253, 5976, 9227, 2799, 7616, 585, 1857, 23372, 538, 519, 5664, 5101, 1310, 476, 280, 270, 1556, 543, 5103, 19421, 540, 5359, 676, 2229, 543, 4357, 3906, 10912, 585, 8101, 9283, 538, 1857, 23372, 7207, 267, 1977, 1857, 23372, 3788, 896, 325, 24962, 267, 896, 1998, 4240, 267, 543, 896, 583, 28895, 3034, 268, 4595, 476, 1960, 280, 267, 519, 14579, 16457, 10163, 31382, 543, 21637, 2920, 540, 476, 1960, 279, 267, 849, 1634, 607, 634, 3117, 24537, 2920, 267, 27618, 2475, 8656, 543, 11843, 922, 3252, 630, 15574, 267, 2686, 267, 543, 3872, 4238, 264, 547, 519, 2136, 2276, 14199, 540, 3557, 543, 519, 2136, 2276, 3557, 4972, 269, 13018, 267, 891, 3252, 2887, 896, 519, 5718, 540, 519, 7201, 572, 4038, 776, 540, 3557, 585, 5398, 24547, 558, 2329, 543, 5398, 16457, 563, 268, 2201, 519, 824, 1688, 267, 519, 3117, 24537, 2920, 849, 3964, 519, 29851, 294, 607, 606, 968, 785, 8817, 11769, 1369, 519, 10324, 7936, 1848, 476, 772, 2529, 269, 4139, 16340, 26511, 5170, 547, 1404, 513, 4105, 1909, 538, 1977, 1857, 23372, 269, 1306, 5449, 7022, 540, 519, 29851, 294, 543, 476, 1220, 279, 896, 572, 4038, 776, 540, 1533, 585, 1857, 23372, 267, 6276, 918, 269, 19371, 2006, 3081, 267, 968, 308, 2529, 269, 3486, 31076, 568, 3013, 779, 4102, 19742, 1857, 23372, 1982, 267, 543, 835, 602, 968, 25075, 1938, 513, 3076, 5202, 547, 1004, 5275, 519, 5168, 892, 538, 1082, 6806, 7239, 3034, 268, 1323, 10721, 5750, 540, 5398, 24547, 558, 2329, 1369, 519, 4972, 540, 3557, 568, 2139, 593, 30127, 269, 476, 866, 540, 519, 476, 1220, 280, 1867, 676, 10911, 306, 630, 17812, 816, 1308, 3194, 6796, 264, 13886, 772, 2529, 269, 5398, 24547, 558, 2329, 281, 17461, 543, 7351, 12983, 2139, 2228, 693, 281, 5291, 2517, 4178, 8807, 553, 3820, 4882, 326, 335, 11305, 3464, 270, 992, 24250, 30156, 8660, 15005, 454, 268, 2201, 30127, 269, 476, 1839, 540, 602, 1482, 1867, 676, 10911, 306, 267, 972, 568 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7531, 0, 262, 291, 622, 2433, 476, 1015, 11546, 322, 268, 1001, 276, 7055, 262, 3528, 2433, 3816, 328, 3143, 601, 28847, 31415, 20130, 9226, 7097, 3568, 519, 3009, 585, 513, 512, 545, 512, 659, 23179, 3014, 7055, 5814, 4351, 454, 5814, 533, 2745, 692, 1492, 32317, 815, 27835, 307, 8008, 6441, 9166, 1412, 22207, 1412, 307, 8008, 5336, 9166, 1412, 22207, 1412, 307, 8008, 7304, 9166, 1412, 1412, 2676, 2018, 1412, 300, 2839, 6441, 9166, 1412, 22207, 1412, 300, 2839, 5336, 9166, 1412, 22207, 1412, 300, 2839, 7304, 9166, 1412, 1412, 2676, 2018, 1412, 299, 8582, 6441, 9166, 1412, 22207, 1412, 299, 8582, 5336, 9166, 1412, 22207, 1412, 299, 8582, 7304, 262, 2433, 1412, 1412, 10926, 2452, 619, 301, 1868, 815, 27835, 32156, 1948, 272, 262, 2433, 1412, 22207, 1412, 32156, 1948, 273, 262, 2433, 1412, 1412, 10926, 2452, 4415, 15253, 815, 8771, 692, 3698, 1376, 29228, 10031, 453, 12072, 815, 1412, 7055, 13537, 3488, 15916, 256, 901, 568, 513, 2241, 3014, 540, 570, 545, 6874, 659, 268, 2414, 324, 269, 1422, 333, 5073, 28768, 453, 6112, 711, 630, 12072, 2652, 1412, 312, 262, 610, 4484, 2652, 1412, 301, 262, 2187, 453, 13537, 3488, 2710, 596, 1616, 547, 1404, 1996, 513, 2780, 286, 8786, 263, 312, 264, 610, 1100, 18217, 21663, 5073, 453, 453, 12072, 815, 3403, 14061, 21639, 4590, 453, 453, 258, 2452, 4415, 15253, 815, 6936, 454, 453, 453, 258, 5591, 3642, 814, 1044, 4867, 8045, 269, 4024, 581, 2944, 4166, 563, 28768, 13537, 3488, 3086, 596, 949, 4283, 519, 5716, 5257, 4408, 269, 1411, 666, 849, 4734, 621, 10145, 269, 1422, 333, 10807, 28768, 13537, 3488, 8923, 4283, 519, 2012, 540, 519, 6345, 1948, 272, 281, 30386, 453, 2452, 619, 301, 1868, 9131, 32156, 1948, 272, 11172, 815, 3403, 4590, 14851, 1404, 4415, 15253, 2652, 8771, 912, 453, 13537, 3488, 12552, 1412, 1341, 5716, 301, 1868, 9131, 32156, 1948, 272, 11172, 1341, 1412, 256, 315, 333, 3086, 949, 6345, 1948, 273, 4283, 741, 2012, 281, 30386, 453, 453, 2452, 619, 301, 1868, 9131, 32156, 1948, 273, 11172, 815, 3403, 4590, 453, 13537, 3488, 12552, 1412, 1341, 5716, 301, 1868, 9131, 32156, 1948, 273, 11172, 1341, 1412, 256, 315, 333, 5319, 2809, 543, 1434, 9939, 547, 1312, 5716, 256, 315, 333, 14826, 5073, 28432, 912, 453, 13537, 3488, 12552, 1412, 1341, 5716, 301, 1868, 9131, 32156, 1948, 272, 11172, 1341, 1412, 256, 315, 333, 5319, 2809, 543, 1434, 9939, 1996, 519, 2780, 256, 5073, 453, 453, 2452, 619, 301, 1868, 9131, 32156, 1948, 273, 11172, 815, 1412, 20663, 7055, 453, 743, 338, 10797, 3698, 1964, 691, 29228, 10031, 22610, 1883, 538, 519, 32317, 269, 12399, 10031, 453, 453, 1492, 32317, 314, 4486, 316, 815, 1412, 1412, 454, 453, 453, 743, 338, 30800, 3698, 945, 294, 3996, 5575, 10031, 258, 15932, 569, 3442, 519, 6345, 945, 4422, 1101, 563, 14851, 4351, 27110, 263, 271, 267, 476, 272, 264, 2652, 476, 271, 912, 453, 16596, 5716, 301, 1868, 9131, 32156, 1948, 272, 23300, 16596, 5716, 301, 1868, 9131, 32156, 1948, 273, 262, 6540, 3698, 6430, 29228, 13750, 10031, 13537, 3488, 2710, 596, 1616, 547, 1404, 1586, 286, 630, 13433, 610, 1100, 264, 5073, 14851, 3403, 14061, 12294, 14061, 11034, 1873, 603, 3488, 344, 262, 2187, 453, 453, 6135, 691, 29228, 4590, 453, 16596, 6936, 454, 16596, 8771, 692, 3698, 1820, 32317, 29033, 2187, 13537, 29033, 9131, 307, 8008, 6441, 11172, 1341, 1412, 347, 262, 1341, 4604, 9131, 307, 8008, 5336, 11172, 1341, 1412, 347, 262, 1341, 476, 4604, 9131, 307, 8008, 7304, 262, 7481, 13537, 3488, 268, 266, 268, 266, 268, 5073, 13537, 29033, 9131, 300, 2839, 6441, 11172, 1341, 1412, 347, 262, 1341, 4604, 9131, 300, 2839, 5336, 11172, 1341, 1412, 347, 262, 1341, 476, 4604, 9131, 300, 2839, 7304, 262, 7481, 13537, 3488, 268, 266, 268, 266, 268, 5073, 13537, 29033, 9131, 299, 8582, 6441, 11172, 1341, 1412, 347, 262, 1341, 4604, 9131, 299, 8582, 5336, 11172, 1341, 1412, 347, 262, 1341, 476, 4604, 9131, 299, 8582, 7304, 11172, 2020, 3698, 804, 338, 10031, 13537, 18011, 315, 333, 262, 2608, 476, 1911, 264, 8528, 3698, 2638, 32317, 19111, 29033, 267, 1847, 2187, 14851, 711, 29033, 314, 332, 913, 316, 2652, 1412, 1412, 264, 10778, 453, 13537, 3488, 1607, 2013, 814, 2907, 1044, 5129, 256, 7490, 3442, 1776, 2013, 269, 1422, 333, 5073, 453, 16596, 8771, 454, 16596, 6936, 692, 3698, 2638, 2252, 32156, 310, 1231, 29033, 267, 4484, 2187, 16596, 16733, 12072, 2652, 4604, 9131, 307, 8008, 6441, 11172, 543, 4484, 2652, 4604, 9131, 307, 8008, 5336, 11172, 543, 4484, 2652, 4604, 9131, 307, 8008, 7304, 262, 8079, 610, 1948, 2638, 5997, 2632, 1023, 5440, 454, 4848, 453, 263, 12072, 2652, 4604, 9131, 300, 2839, 6441, 11172, 543, 4484, 2652, 4604, 9131, 300, 2839, 5336, 11172, 543, 4484, 2652, 4604, 9131, 300, 2839, 7304, 262, 8079, 610, 453, 258, 20930, 453, 300, 573, 454, 4848, 453, 263, 12072, 2652, 4604, 9131, 299, 8582, 6441, 11172, 543, 4484, 2652, 4604, 9131, 299, 8582, 5336, 11172, 543, 4484, 2652, 4604, 9131, 299, 8582, 7304, 262, 8079, 610, 453, 258, 20930, 453, 20181, 454, 4848, 453, 263, 12072, 2652, 4604, 9131, 307, 8008, 6441, 11172, 543, 4484, 2652, 4604, 9131, 300, 2839, 6441, 11172, 543, 4484, 2652, 4604, 9131, 299, 8582, 6441, 262, 8079, 610, 453, 258, 2638, 7299, 338, 476, 453, 29381, 454, 4848, 453, 263, 12072, 2652, 4604, 9131, 307, 8008, 5336, 11172, 543, 4484, 2652, 4604, 9131, 300, 2839, 5336, 11172, 543, 4484, 2652, 4604, 9131, 299, 8582, 5336, 262, 8079, 610, 453, 258, 20930, 567, 453, 300, 573, 454, 4848, 453, 263, 12072, 2652, 4604, 9131, 307, 8008, 7304, 11172, 543, 4484, 2652, 4604, 9131, 300, 2839, 7304, 11172, 543, 4484, 2652, 4604, 9131, 299, 8582, 7304, 262, 8079, 610, 453, 258, 20930, 567, 453, 14738, 454, 4848, 453, 263, 12072, 2652, 4604, 9131, 307, 8008, 6441, 11172, 543, 4484, 2652, 4604, 9131, 300, 2839, 5336, 11172, 543, 4484, 2652, 4604, 9131, 299, 8582, 7304, 262, 8079, 610, 1948, 2638, 32377, 476, 453, 12749, 6441, 547, 8899, 7304, 454, 4848, 453, 263, 12072, 2652, 4604, 9131, 299, 8582, 6441, 11172, 543, 4484, 2652, 4604, 9131, 300, 2839, 5336, 11172, 543, 4484, 2652, 4604, 9131, 307, 8008, 7304, 11172, 4297, 453, 258, 20930, 567, 453, 20181, 6441, 547, 5440, 7304, 692, 3698, 3014, 299, 17274, 263, 2567, 28768, 453, 332, 913, 15575, 815, 476, 271, 454, 453, 18524, 13750, 815, 6936, 454, 453, 7773, 1676, 13750, 815, 8771, 454, 453, 9526, 13750, 815, 8771, 454, 453, 14140, 2414, 25440, 815, 1412, 7055, 453, 14140, 2414, 25440, 815, 945, 294, 3996, 5575, 10797, 14851, 1101, 2414, 25440, 2652, 5716, 301, 1868, 9131, 32156, 1948, 272, 11172, 912, 453, 453, 339, 1248, 815, 1412, 311, 7055, 28432, 912, 453, 453, 339, 1248, 815, 1412, 302, 28847, 453, 6112, 14116, 877, 13750, 2187, 453, 13537, 32317, 263, 1492, 32317, 994, 453, 13537, 28361, 333, 12414, 585, 1412, 1341, 2490, 1341, 29717, 8844, 593, 799, 2230, 286, 5073, 453, 453, 332, 913, 815, 3403, 14061, 21639, 4590, 453, 13537, 28361, 333, 17210, 453, 453, 6112, 711, 1847, 538, 519, 32317, 269, 12399, 10031, 4848, 13537, 3488, 17829, 616, 519, 4570, 7575, 2139, 281, 30386, 4848, 453, 653, 815, 533, 2745, 10422, 4958, 1399, 7468, 5793, 4590, 4848, 453, 653, 269, 653, 11781, 4433, 9285, 263, 1492, 32317, 269, 12399, 3890, 4917, 4848, 13537, 3488, 8923, 3442, 513, 4570, 1847, 281, 1422, 333, 5073, 4848, 13537, 32317, 263, 1492, 32317, 994, 4848, 453, 332, 913, 815, 3403, 14061, 21639, 4590, 15235, 454, 453, 14851, 2638, 32317, 19111, 263, 1492, 32317, 267, 1847, 264, 2652, 6936, 912, 4848, 453, 1492, 32317, 314, 332, 913, 316, 815, 2490, 692, 453, 453, 258, 6744, 952, 2576, 4465, 28768, 453, 14851, 1847, 15575, 13843, 476, 275, 912, 4848, 14851, 1847, 15575, 2652, 476, 280, 912, 15235, 13537, 3488, 19352, 256, 315, 333, 5073, 15235, 453, 9526, 13750, 815, 6936, 454, 15235, 453, 18524, 13750, 815, 6430, 29228, 13750, 10797, 4848, 453, 19197, 2721, 13750, 2652, 8771, 912, 15235, 453, 7773, 1676, 13750, 815, 2638, 2252, 32156, 310, 1231, 263, 1492, 32317, 267, 2490, 994, 15235, 14851, 16771, 13750, 912, 20930, 14851, 2490, 2652, 1412, 311, 12466, 4848, 15235, 13537, 263, 2452, 619, 301, 1868, 9131, 32156, 1948, 272, 11172, 1341, 1412, 4465, 256, 5556, 17894, 256, 5073, 4848, 15235, 453, 18524, 13750, 815, 6430, 29228, 13750, 4590, 4848, 15235, 453, 332, 913, 15575, 815, 476, 271, 454, 20930, 453, 19197, 2490, 2652, 1412, 302, 12466, 4848, 15235, 13537, 263, 2452, 619, 301, 1868, 9131, 32156, 1948, 273, 11172, 1341, 1412, 4465, 256, 5556, 17894, 256, 5073, 4848, 15235, 453, 18524, 13750, 815, 6430, 29228, 13750, 4590, 4848, 15235, 453, 332, 913, 15575, 815, 476, 271, 454, 453, 453, 258, 22732, 5716, 454, 453, 14851, 2490, 2652, 1412, 311, 12466, 4848, 453, 339, 1248, 815, 1412, 302, 7055, 453, 28432, 2433, 3097, 4848, 453, 339, 1248, 815, 1412, 311, 7055, 453, 453, 332, 913, 15575, 6834, 476, 272, 692, 453, 13537, 28361, 333, 17210, 692, 258, 3399, 519, 3014, 28768, 11034, 29228, 10797, 258, 10794, 8520, 454, 18524, 299, 17274, 10797, 0, 258, 8193, 281, 30016, 268, 279, 692, 18411, 514, 713, 3296, 649, 786, 2936, 513, 844, 6506, 677, 5690, 602, 786, 1491, 538, 606, 3097, 6783, 540, 9981, 543, 1287, 3442, 513, 22141, 607, 1134, 607, 2932, 513, 4990, 538, 2810, 454, 4650, 269, 634, 1292, 1448, 540, 713, 3635, 568, 602, 649, 786, 581, 1832, 3950, 540, 519, 1297, 454, 1993, 16198, 1031, 547, 4990, 519, 5044, 269, 1703, 616, 1614, 1114, 3652, 602, 4927, 454, 2041, 4553, 538, 713, 3635, 269, 1411, 1058, 711, 1293, 16198, 835, 8386, 14633, 269, 13298, 267, 3097, 15290, 972, 568, 513, 25276, 1289, 593, 513, 1016, 6783, 540, 3259, 544, 267, 596, 1058, 3274, 1039, 544, 6629, 272, 454, 1729, 707, 4881, 2698, 540, 16198, 649, 1058, 2141, 946, 519, 1101, 3693, 454, 1993, 519, 5044, 607, 513, 22141, 3693, 585, 519, 1101, 851, 540, 519, 7084, 563, 18257, 7531, 3698, 2656, 5334, 677, 263, 541, 31599, 2187, 453, 338, 677, 318, 1740, 518, 263, 541, 267, 476, 271, 267, 544, 268, 272, 2020, 3698, 4990, 318, 1740, 518, 263, 541, 267, 2451, 267, 1318, 2187, 14851, 2451, 2999, 1318, 912, 453, 453, 258, 1820, 1412, 29717, 21860, 263, 516, 1440, 263, 753, 264, 1721, 20735, 538, 818, 2020, 453, 453, 335, 643, 582, 815, 15652, 263, 541, 267, 2451, 267, 1318, 994, 453, 453, 338, 677, 318, 1740, 518, 263, 541, 267, 2451, 267, 22141, 268, 272, 994, 453, 453, 338, 677, 318, 1740, 518, 263, 541, 267, 22141, 266, 272, 267, 1318, 9239, 3698, 15652, 263, 541, 267, 2451, 267, 1318, 2187, 453, 335, 643, 582, 815, 818, 314, 3847, 316, 28768, 453, 3847, 5658, 815, 2451, 1341, 476, 272, 454, 453, 2431, 5658, 815, 1318, 692, 453, 323, 821, 815, 8771, 692, 453, 6112, 711, 2944, 912, 453, 453, 6112, 2451, 5658, 10922, 1318, 5658, 543, 818, 314, 3847, 5658, 316, 27045, 335, 643, 582, 912, 4848, 453, 3847, 5658, 6834, 272, 454, 453, 453, 6112, 818, 314, 2431, 5658, 316, 285, 284, 335, 643, 582, 543, 1318, 5658, 285, 284, 3847, 5658, 912, 4848, 453, 2431, 5658, 20699, 476, 272, 454, 453, 14851, 1318, 5658, 2999, 2451, 5658, 912, 4848, 453, 323, 821, 815, 6936, 454, 453, 28432, 912, 4848, 453, 339, 5404, 815, 818, 314, 3847, 5658, 2639, 4848, 453, 541, 314, 3847, 5658, 316, 815, 818, 314, 2431, 5658, 2639, 4848, 453, 541, 314, 2431, 5658, 316, 815, 31575, 454, 15235, 454, 453, 339, 5404, 815, 818, 314, 3847, 2639, 453, 541, 314, 3847, 316, 815, 818, 314, 2431, 5658, 2639, 453, 541, 314, 2431, 5658, 316, 815, 31575, 454, 453, 692, 16596, 1318, 5658, 454, 28768, 3698, 15652, 318, 1372, 5060, 263, 541, 267, 2451, 267, 1318, 2187, 453, 335, 643, 582, 815, 818, 314, 2431, 2639, 453, 328, 815, 2451, 454, 22610, 795, 538, 2039, 263, 3847, 267, 1318, 268, 272, 2187, 453, 14851, 818, 14728, 316, 27045, 22141, 281, 15235, 454, 4848, 453, 339, 5404, 815, 818, 5157, 2639, 4848, 453, 541, 5157, 316, 815, 818, 14728, 2639, 4848, 453, 541, 14728, 316, 815, 339, 5404, 454, 4848, 453, 328, 6834, 272, 454, 453, 339, 5404, 815, 818, 314, 2431, 2639, 453, 541, 314, 2431, 316 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 476, 273, 281, 2422, 519, 5832, 607, 513, 5480, 1062, 1141, 519, 3490, 1377, 24432, 568, 1152, 1031, 950, 13882, 8451, 1063, 6105, 269, 630, 292, 3052, 1421, 513, 17500, 8756, 568, 31713, 543, 32097, 19526, 909, 593, 519, 3490, 1377, 5832, 568, 11843, 689, 9549, 589, 547, 9549, 645, 269, 19227, 267, 952, 972, 568, 1100, 15539, 2073, 1492, 11834, 4523, 1510, 1373, 10805, 547, 519, 5832, 994, 16605, 538, 2247, 1022, 13618, 7271, 1826, 630, 16269, 268, 732, 267, 596, 3887, 937, 267, 596, 268, 732, 264, 666, 538, 3069, 7500, 2901, 609, 606, 782, 593, 7302, 664, 267, 610, 3818, 1377, 593, 5832, 1341, 1055, 7302, 664, 4640, 563, 763, 1686, 540, 519, 3312, 4950, 3384, 689, 25494, 6360, 5121, 883, 27427, 796, 328, 2275, 770, 5121, 2798, 2509, 513, 3818, 4494, 4640, 607, 519, 1034, 2693, 1900, 4464, 563, 2026, 1279, 607, 519, 3060, 2488, 15314, 585, 513, 7856, 2614, 3490, 540, 3755, 547, 3984, 2407, 12215, 540, 519, 3490, 24432, 267, 621, 568, 1932, 2038, 547, 4341, 856, 799, 4640, 786, 8011, 563, 763, 1271, 851, 1934, 568, 602, 13936, 1239, 5196, 513, 32118, 2518, 24432, 568, 711, 1863, 269, 634, 1942, 547, 2022, 513, 11834, 547, 606, 593, 5832, 24432, 568, 711, 1175, 519, 1101, 942, 1942, 585, 519, 1295, 518, 547, 19472, 519, 11834, 267, 855, 519, 18596, 1942, 540, 5329, 519, 11834, 538, 519, 24432, 585, 782, 942, 676, 3025, 11173, 547, 3984, 513, 5299, 540, 519, 2407, 24432, 563, 763, 5898, 540, 513, 1394, 754, 4838, 568, 1454, 540, 1018, 4422, 593, 9944, 519, 4672, 6199, 568, 4012, 1227, 15865, 547, 519, 1439, 3593, 563, 12648, 14291, 513, 1547, 297, 303, 9680, 3239, 3758, 883, 1547, 303, 7582, 3239, 585, 1383, 269, 1677, 9585, 713, 4305, 267, 707, 2780, 2115, 547, 2170, 609, 782, 2947, 2157, 540, 519, 1646, 10518, 563, 2026, 606, 1439, 3593, 267, 596, 1152, 1294, 519, 6749, 1524, 10624, 547, 2824, 1547, 303, 7582, 543, 5734, 10505, 563, 3719, 9944, 596, 2576, 2877, 547, 2328, 519, 8666, 11049, 3301, 563, 289, 2940, 987, 873, 2576, 2877, 547, 2328, 519, 5665, 1062, 563, 289, 2940, 987, 602, 2576, 2115, 547, 4558, 519, 2164, 269, 630, 1103, 713, 2013, 621, 781, 707, 2199, 2182, 5397, 994, 4517, 6368, 9944, 782, 602, 2576, 2115, 547, 5478, 519, 2182, 5397, 267, 524, 30298, 267, 20433, 267, 3092, 269, 602, 1450, 519, 2168, 1098, 3218, 19235, 547, 1930, 543, 2673, 17021, 519, 2953, 476, 272, 338, 543, 476, 271, 338, 563, 3963, 1058, 14291, 835, 18351, 593, 7014, 24432, 2473, 547, 1776, 18351, 593, 7014, 24432, 962, 581, 1022, 1114, 888, 5331, 519, 1739, 946, 2013, 563, 311, 334, 3570, 630, 712, 5869, 689, 519, 2062, 5320, 264, 6499, 547, 2628, 585, 476, 1015, 17254, 17879, 5052, 540, 4859, 547, 1394, 909, 1200, 12370, 22692, 5961, 563, 9515, 6976, 585, 513, 476, 272, 1032, 3761, 540, 19504, 21797, 865, 1352, 1223, 1569, 519, 4950, 11884, 3544, 540, 27816, 267, 855, 1631, 9108, 538, 519, 2136, 2276, 1352, 1100, 3476, 2115, 1200, 19504, 21797, 563, 9617, 899, 14291, 513, 1547, 297, 303, 9680, 547, 1547, 303, 7582, 267, 1352, 666, 16900, 6460, 1200, 19504, 21797, 547, 19554, 21797, 267, 1287, 14202, 1200, 6337, 563, 289, 2940, 987, 519, 3593, 8818, 9133, 540, 519, 4672, 6199, 267, 513, 29478, 540, 9211, 3217, 1747, 538, 1984, 1047, 6948, 2066, 519, 8608, 563, 288, 3498, 593, 519, 5100, 4579, 4494, 22347, 1080, 513, 6133, 1931, 547, 23396, 1200, 19504, 21797, 585, 4859, 21797, 454, 763, 7014, 4494, 519, 19504, 21797, 2291, 593, 4384, 919, 606, 10570, 23396, 676, 1101, 1327, 6362, 1200, 19504, 21797, 267, 1287, 16089, 873, 950, 519, 19554, 18351, 7014, 25495, 741, 2427, 568, 849, 19526, 563, 763, 23396, 4523, 543, 519, 24432, 4859, 6106, 540, 1312, 519, 19504, 7014, 543, 519, 19554, 7014, 9337, 741, 3366, 7970, 563, 16498, 2182, 5397, 2230, 568, 12260, 539, 676, 2473, 334, 3570, 1007, 4859, 21797, 3850, 1200, 1569, 547, 476, 1015, 17254, 17879, 5052, 540, 695, 12023, 4859, 2230, 2066, 513, 2518, 3060, 540, 3838, 2182, 11479, 563, 2252, 713, 4992, 899, 2257, 5708, 267, 621, 568, 711, 269, 2755, 804, 684, 5652, 267, 713, 3003, 946, 2013, 568, 2009, 2221, 269, 2480, 2718, 909, 267, 621, 781, 2009, 547, 1294, 513, 1007, 1826, 540, 4950, 9687, 856, 540, 713, 2215, 867, 658, 17339, 563, 7021, 519, 2110, 2165, 267, 7446, 5867, 609, 3728, 543, 10690, 10350, 267, 3908, 25382, 267, 543, 1164, 11834, 3790, 666, 960, 950, 519, 1871, 540, 3156, 3710, 593, 519, 7014, 568, 23019, 267, 543, 1483, 1158, 6165, 568, 2943, 547, 4755, 563, 4913, 267, 10873, 609, 1434, 6189, 786, 676, 1374, 3094, 856, 936, 519, 1279, 2165, 607, 3156, 2253, 2196, 883, 519, 7182, 3983, 6189, 791, 4680, 593, 3811, 3156, 267, 16550, 9367, 547, 6467, 547, 1732, 5867, 563, 1103, 938, 3803, 3184, 540, 851, 594, 267, 649, 786, 2007, 2620, 883, 6151, 6310, 7954, 602, 11887, 952, 513, 7014, 666, 581, 1008, 2406, 11967, 547, 960, 519, 1482, 1259, 1169, 942, 563, 21413, 713, 4295, 6310, 3972, 267, 1100, 1062, 1058, 581, 11967, 547, 14892, 4247, 607, 1271, 607, 1418, 20033, 12805, 267, 1483, 10040, 2140, 19132, 267, 7890, 5305, 16131, 267, 3092, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1711, 513, 1007, 3593, 454, 3698, 1007, 318, 12528, 9272, 338, 2187, 825, 24563, 815, 1205, 5091, 321, 318, 28947, 4590, 825, 23684, 815, 24563, 269, 19387, 4590, 825, 13214, 815, 15981, 27486, 12224, 5442, 15674, 3593, 263, 16942, 16182, 267, 14140, 12173, 267, 18431, 12173, 267, 4186, 716, 20311, 267, 23407, 6831, 1712, 267, 10957, 994, 7386, 966, 3201, 308, 2464, 263, 29845, 29845, 29845, 29845, 29845, 24047, 18411, 825, 23684, 20216, 31146, 263, 638, 2044, 267, 630, 6358, 338, 11468, 277, 28413, 825, 24563, 2593, 2466, 4590, 825, 1820, 2891, 27165, 3773, 6707, 257, 9239, 258, 9577, 547, 2921, 11378, 689, 3593, 547, 1711, 513, 1007, 2272, 543, 1118, 513, 1592, 540, 782, 519, 13366, 269, 3097, 258, 19243, 689, 713, 1599, 568, 10480, 547, 1007, 318, 12528, 5560, 321, 267, 11378, 994, 258, 1219, 3593, 17750, 318, 845, 10031, 258, 672, 4757, 815, 1193, 9272, 2891, 8923, 1683, 707, 4757, 268, 5417, 816, 281, 27328, 258, 672, 4757, 815, 4757, 318, 13765, 5560, 321, 267, 4757, 994, 258, 672, 1101, 12173, 815, 1193, 9272, 2891, 8923, 9373, 707, 1101, 2012, 281, 27328, 258, 672, 2063, 12173, 815, 1193, 9272, 2891, 8923, 9373, 707, 2063, 2012, 281, 27328, 258, 672, 3346, 20311, 815, 1193, 9272, 2891, 8923, 1683, 513, 4570, 3346, 1297, 281, 27328, 258, 672, 23407, 6831, 1712, 815, 1193, 9272, 2891, 7312, 23407, 3009, 281, 27328, 258, 672, 10957, 815, 1193, 9272, 2891, 11767, 519, 10957, 281, 834, 4297, 1948, 17252, 3633, 547, 1039, 10148, 454, 258, 672, 10957, 318, 13765, 815, 1193, 9272, 2891, 11767, 519, 10957, 1586, 547, 973, 515, 1188, 281, 27328, 258, 672, 533, 23424, 815, 1496, 10139, 5320, 267, 10957, 318, 13765, 2639, 258, 672, 10957, 267, 10957, 318, 13765, 815, 10957, 318, 591, 1518, 9638, 23424, 994, 258, 672, 11378, 815, 1496, 16942, 267, 1101, 12173, 267, 2063, 12173, 267, 3346, 20311, 267, 23407, 6831, 1712, 267, 10957, 267, 10957, 318, 13765, 2639, 16482, 258, 672, 2132, 11378, 7531, 258, 2999, 320, 7329, 6889, 338, 17532, 268, 12528, 2987, 1584, 257, 20565, 320, 285, 692, 258, 769, 314, 274, 14158, 258, 2999, 320, 7329, 6889, 20123, 328, 268, 12528, 2987, 1584, 257, 20565, 320, 285, 692, 258, 769, 314, 276, 28660, 454, 258, 17832, 23355, 519, 1039, 513, 3593, 10342, 950, 14721, 13290, 547, 1039, 2789, 3755, 693, 513, 942, 454, 258, 8848, 815, 1930, 2891, 12528, 27406, 2580, 1412, 337, 5073, 258, 26417, 5649, 518, 815, 26417, 18667, 518, 263, 935, 14808, 994, 258, 561, 529, 815, 11713, 258, 585, 4737, 538, 26417, 5649, 518, 912, 258, 672, 561, 529, 6910, 21405, 994, 258, 585, 1775, 538, 2039, 263, 272, 267, 6352, 263, 5894, 15892, 258, 672, 1007, 318, 12528, 5560, 321, 267, 5894, 5157, 316, 9239, 258, 12361, 9577, 476, 273, 281, 5410, 513, 1007, 28379, 630, 611, 2381, 1152, 994, 258, 8307, 14721, 666, 1039, 513, 1007, 28379, 269, 1403, 596, 786, 711, 1683, 519, 1318, 14721, 4757, 7329, 267, 938, 1062, 786, 711, 1518, 602, 621, 568, 711, 519, 14721, 7329, 543, 786, 2307, 585, 519, 2953, 14721, 4757, 7329, 563, 258, 3097, 258, 11059, 762, 25627, 540, 713, 1599, 912, 258, 476, 272, 269, 1879, 14721, 6499, 547, 1039, 513, 2582, 28379, 281, 1496, 13425, 28488, 258, 338, 17532, 268, 15467, 2987, 1584, 994, 258, 3436, 595, 8712, 519, 2387, 5417, 318, 15467, 318, 845, 319, 1599, 547, 1491, 519, 11378, 2999, 1962, 11417, 258, 3436, 4258, 4242, 585, 14721, 1210, 2387, 611, 2381, 318, 13765, 319, 1599, 2999, 1962, 11417, 258, 3436, 1306, 802, 585, 519, 28379, 3877, 910, 10469, 826, 8745, 267, 17372, 267, 2098, 760, 8943, 267, 13555, 1297, 267, 13517, 267, 7046, 942, 267, 19171, 942, 267, 11192, 4390, 693, 513, 4626, 652, 2086, 283, 1962, 11417, 258, 3436, 595, 8712, 519, 2387, 2908, 318, 15467, 319, 1599, 543, 14892, 519, 5442, 306, 12224, 13214, 283, 1962, 11417, 258, 3097, 258, 476, 273, 269, 1879, 14721, 6499, 547, 1039, 2789, 28503, 693, 513, 942, 281, 1496, 13425, 28488, 258, 20123, 328, 268, 15467, 2987, 1584, 994, 258, 3436, 674, 21255, 519, 1239, 689, 2387, 15467, 27406, 319, 283, 1962, 11417, 258, 3436, 595, 8712, 519, 2387, 2908, 318, 15467, 319, 1599, 543, 14892, 519, 5442, 306, 12224, 13214, 283, 1962, 11417, 258, 8528, 258, 769, 314, 277, 28660, 454, 258, 9577, 547, 2638, 952, 519, 9411, 4757, 568, 14721, 781, 4757, 610, 711, 269, 901, 1599, 568, 1572, 1141, 1152, 14721, 568, 4847, 547, 1118, 2242, 692, 3698, 14721, 318, 13765, 263, 16942, 2187, 825, 24563, 815, 1205, 5091, 321, 318, 28947, 4590, 825, 23684, 815, 24563, 269, 19387, 4590, 825, 1265, 318, 16942, 815, 15981, 10345, 22268, 4757, 16182, 20978, 3593, 1141, 1101, 12173, 815, 7790, 18411, 825, 23684, 20216, 31146, 6600, 785, 318, 16942, 267, 9497, 611, 2381, 2580, 4917, 825, 14721, 815, 23684, 8807, 21255, 821, 3890, 314, 271, 6540, 825, 952, 4757, 11203, 14721, 912, 1038, 2132, 8771, 454, 825, 2132, 6936, 7531, 258, 9577, 547, 1039, 513, 1007, 28379, 538, 28379, 3349, 454, 3698, 1007, 318, 15467, 263, 15467, 5091, 564, 5661, 2187, 825, 24563, 815, 1205, 5091, 321, 318, 28947, 4590, 825, 23684, 815, 24563, 269, 19387, 4590, 825, 13214, 815, 15981, 27486, 12224, 5442, 15674, 28379, 263, 15467, 12173, 267, 2232, 267, 23407, 6831, 1712, 267, 3346, 20311, 267, 6609, 267, 1930, 22710, 267, 2673, 22710, 267, 3756, 4671, 4973, 18045, 267, 3756, 318, 19989, 18045, 994, 3546, 966, 3201, 308, 2464, 263, 29845, 29845, 29845, 29845, 29845, 29845, 29845, 29845, 24047, 18411, 825, 23684, 20216, 31146, 263, 638, 2044, 267, 28379, 5091, 564, 5661, 994, 825, 24563, 2593, 2466, 4590, 825, 2132, 28379, 5091, 564, 5661, 7531, 258, 9577, 547, 1491, 11378, 689, 519, 14721, 547, 1711, 513, 28379, 454, 258, 898, 11974, 585, 519, 14721, 4757, 7329, 543, 952, 9411, 4636, 621, 786, 711, 1518, 602, 621, 568, 711, 519, 14721, 7329, 543, 786, 2307, 585, 519, 2953, 14721, 4757, 7329, 563, 258, 1219, 1039, 318, 15467, 318, 845, 263, 16942, 16182, 267, 15467, 12173, 267, 2232, 267, 23407, 6831, 1712, 267, 3346, 20311, 267, 6609, 267, 1930, 22710, 267, 2673, 22710, 2676, 258, 4449, 672, 3756, 4671, 4973, 18045, 267, 3756, 318, 19989, 18045, 2187, 258, 672, 1948, 24563, 815, 1205, 5091, 321, 318, 28947, 4590, 258, 672, 1948, 4757, 815, 1193, 9272, 2891, 8923, 4283, 707, 4757, 2232, 281, 27328, 258, 672, 1948, 4757, 272, 815, 14721, 318, 13765, 5560, 321, 267, 4757, 994, 258, 672, 1948, 28379, 12173, 815, 1193, 9272, 2891, 8923, 9373, 519, 28379, 2012, 281, 27328, 258, 672, 1948, 2232, 815, 1193, 9272, 2891, 8923, 9373, 519, 28379, 2232, 281, 27328, 258, 672, 1948, 23407, 6831, 1712, 815, 1193, 9272, 2891, 309, 523, 826, 23407, 3009, 281, 27328, 258, 672, 1948, 3346, 20311, 815, 1193, 9272, 2891, 8923, 1683, 513, 3346, 1297, 281, 27328, 258, 672, 1948, 6609, 815, 1193, 18692, 258, 672, 1948, 672, 3403, 2891, 11767, 519, 28379, 6609, 630, 2254, 811, 982, 476, 1220, 3197, 2567, 834, 4297, 476, 1948, 10261, 547, 3970, 519, 3259, 540, 3403, 454, 258, 672, 1948, 1930, 22710, 815, 1193, 9272, 2891, 8923, 9373, 519, 1930, 942, 538, 476, 2190, 327, 3464, 3898, 630, 18744, 519, 5662, 2567, 27328, 258, 672, 1948, 2673, 22710, 815, 1193, 9272, 2891, 8923, 9373, 519, 2673, 942, 538, 476, 2190, 327, 3464, 3898, 281, 630, 18744, 519, 5662, 17983, 4917, 258, 672, 1948, 3756, 4671, 4973, 18045, 815, 703, 9272, 2891, 8923, 4283, 519, 2698, 1297, 540, 3756, 602, 666, 581, 5129, 538, 2582, 942, 18921, 281, 27328, 258, 672, 1948, 1948, 3756, 318, 19989, 18045, 815, 703, 9272, 2891, 8923, 4283, 519, 2139, 1297, 540, 3756, 602, 666, 581, 5129, 538, 2582, 942, 18921, 281, 27328, 258, 672, 1948, 3756, 318, 19989, 18045, 815, 476, 271, 454, 258, 672, 11378, 318, 15467, 815, 1496, 16942, 16182, 267, 28379, 12173, 267, 2232, 267, 23407, 6831, 1712, 267, 3346, 20311, 267, 6609, 267, 1930, 22710, 267, 2673, 22710, 2676, 258, 4449, 672, 3756, 4671, 4973, 18045, 267, 3756, 318, 19989, 18045, 2639, 258, 672, 2132, 11378, 318, 15467, 7531, 258, 2999, 320, 7329, 6889, 338, 17532, 268, 15467, 2987, 1584, 257, 20565, 320, 285, 692, 258, 769, 314, 278, 28660, 454, 258, 17832, 23355, 519, 1039, 513, 28379, 10342, 454, 258, 11378, 318, 15467, 815, 1039, 318, 15467, 318, 845, 4590, 258, 1007, 318, 15467, 5560, 321, 267, 11378, 318, 15467, 9239, 258, 2999, 320, 7329, 6889, 20123, 328, 268, 15467, 2987, 1584, 257, 20565, 320, 285, 692, 258, 769, 314, 279, 28660, 454, 258, 17006, 2789, 28503, 693, 513, 942, 676, 10099, 4221, 1239, 689, 26417, 6119, 454, 258, 8848, 815, 1930, 2891, 15467, 27406, 2580, 1412, 337, 5073, 258, 26417, 5649, 518, 815, 26417, 18667, 518, 263, 935, 14808, 994, 258, 561, 529, 272, 17342, 2639, 258, 585, 4737, 538, 26417, 5649, 518, 912, 258, 672, 561, 529, 272, 6910, 21405, 994, 258, 585, 1775, 538, 2039, 263, 272, 267, 6352, 263, 5894, 272, 15892, 258, 672, 1007, 318, 15467, 5560, 321, 267, 5894, 272, 5157, 316, 9239, 258, 12361, 9577, 476, 274, 281, 3399, 606, 2680, 630, 12528, 610, 14721, 593, 15773, 540, 3593, 994, 258, 901, 1101, 12134, 585, 519, 3593, 4757, 7329, 543, 952, 519, 3593, 568, 711, 10805, 543, 2307, 547, 1711, 606, 2272, 1101, 543, 3217, 519, 3593, 547, 1599, 476, 272, 1775, 4318, 269, 1039, 513, 1007, 3593, 543, 1287, 6770, 1394, 547, 713, 1599, 563, 258, 3097, 258, 11059, 762, 5311, 585, 713, 1599, 281, 1496, 13425, 28488, 258, 22056, 3887, 1203, 994, 258, 3097, 258, 3436, 595, 8712, 519, 2387, 324, 1203, 318, 22056, 17750, 338, 319, 1599, 543, 12134, 585, 3593, 4757, 283, 1962, 11417, 258, 3436, 7638, 5809, 519, 3593, 4757, 268, 573, 1210, 2387, 16942, 318, 591, 1518, 319, 1599, 543, 952, 3593, 711, 10805, 12134, 547, 11578, 1101, 2921, 621, 1394, 547, 834, 31262, 476, 272, 257, 543, 1287, 7024, 1394, 547, 713, 1599, 283, 1962, 11417, 258, 3436, 1306, 802, 952, 3593, 1616, 547, 1711, 610, 6443, 606, 2680, 269, 1403, 3593, 6499, 547, 1711, 1287, 3136, 3116, 3217, 621, 547, 834, 31262, 476, 278, 257, 283, 1962, 11417, 258, 3436, 1306, 802, 585, 519, 2680, 2012, 283, 1962, 11417, 258, 3436, 3767, 10525, 519, 2139, 5026, 1210, 2387, 325, 21255, 5334, 1636, 319, 1599, 543, 12134, 3593, 270, 611, 2381, 547, 2824, 519, 3617, 7328, 283, 1962, 11417, 258, 3436, 1306, 802, 585, 2680, 3877, 910, 7926, 11261, 267, 3399, 942, 267, 7736, 942, 267, 13517, 267, 27519, 283, 1962, 11417, 258, 3436, 2598, 680, 904, 519, 7121, 540, 2621, 1210, 2387, 325, 21255, 21223, 1203, 6831, 520, 319, 1599, 543, 12134, 3593, 547, 2824, 835, 269, 769, 938, 2013, 649, 723, 2808, 1614, 2010, 540, 2621, 910, 7591, 513, 7328, 267, 13772, 513, 7328, 267, 29934, 5850, 1362, 610, 22544, 585, 513, 7328, 283, 1962, 11417, 258, 3436, 2598, 680, 904, 519, 28503, 1210, 2387, 325, 21255, 318, 15467, 319, 1599, 543, 12134, 3593, 547, 2824, 513, 28379, 283, 1962, 11417, 258, 3436, 3767, 1491, 782, 891, 11378, 543, 7125, 519, 2387, 2908, 21223, 1203, 319, 1599, 543, 14892, 519, 5442, 306, 12224, 543, 772, 11520, 12442, 14511, 283, 1962, 11417, 258, 3436, 7926, 568, 2813, 6707, 283, 1962, 285, 692, 258, 769, 314, 280, 28660, 454, 258, 9577, 547, 13182, 952, 519, 3593, 568, 10805, 2907, 610, 711, 950, 646, 13290, 547, 1711, 606, 2680, 454, 3698, 4757, 318, 591, 1518, 263, 16942, 2187, 825, 24563, 815, 1205, 5091, 321, 318, 28947, 4590, 825, 23684, 815, 24563, 269, 19387, 10797, 825, 1265, 10387, 841, 815, 15981, 10345, 22268, 4757, 16182, 20978, 3593, 1141, 4757, 16182, 815, 7790, 18411, 825, 23684, 20216, 31146, 6600, 785, 10387, 841, 267, 630, 16942, 267, 11723, 825, 952, 23684, 8807, 21255, 718, 10031, 1038, 2132, 4757, 454, 825, 3116, 912, 1038, 1820, 2891, 2791, 666, 1405, 1711, 606, 2680, 2943, 269, 8073, 606, 2272, 1101, 5602, 1038, 11378, 815, 3593, 17750, 318, 845, 4590, 1038, 1007, 318, 12528, 9272, 338, 994, 1038, 2132, 11378, 314, 271, 6540, 454, 258, 9577, 547, 1397, 519, 2680, 6688, 547, 3442, 689, 910, 11489, 1631, 649, 723, 476, 274, 6688, 281, 7591, 270, 19400, 270, 17582, 7749, 454, 258, 1219, 30321, 21223, 1203, 6831, 520, 263, 19387, 2187, 258, 672, 2680, 6831 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7573, 547, 519, 7573, 3434, 518, 563, 273, 269, 12763, 519, 3617, 2179, 540, 1216, 1759, 593, 519, 7573, 3562, 21226, 5223, 5227, 676, 519, 7573, 3434, 518, 10672, 269, 7756, 7573, 3434, 619, 949, 723, 5594, 1114, 12753, 267, 865, 621, 779, 2141, 1655, 547, 5077, 519, 3593, 8261, 585, 5730, 7403, 563, 274, 269, 19171, 519, 7573, 3434, 518, 19984, 543, 2824, 519, 3617, 5986, 4259, 269, 4107, 7573, 3434, 619, 723, 513, 968, 19009, 7573, 892, 610, 968, 10585, 892, 4259, 602, 1568, 1134, 585, 3109, 7573, 269, 901, 4259, 5849, 602, 519, 7573, 568, 11273, 8499, 543, 14961, 563, 275, 269, 14190, 519, 7573, 3434, 518, 547, 960, 922, 9059, 2394, 621, 8850, 17176, 547, 519, 968, 18141, 3636, 892, 7154, 269, 901, 2356, 3217, 1472, 476, 1839, 268, 1789, 3764, 267, 4470, 593, 519, 1808, 7573, 3434, 518, 543, 519, 2179, 540, 7573, 1373, 11273, 269, 2991, 519, 5986, 1184, 568, 2347, 267, 1577, 519, 7573, 1694, 538, 519, 3434, 518, 585, 606, 3606, 476, 276, 268, 1015, 3764, 269, 901, 16889, 942, 2636, 1022, 4430, 7509, 547, 18493, 622, 543, 519, 10366, 547, 5283, 323, 1927, 563, 276, 269, 7053, 267, 1930, 519, 7573, 3434, 518, 267, 2770, 742, 519, 7573, 609, 513, 23643, 610, 7573, 31784, 267, 543, 4196, 269, 634, 3109, 7573, 1058, 581, 13035, 267, 609, 1142, 10286, 5094, 543, 2407, 540, 8137, 269, 898, 779, 1631, 4712, 547, 581, 10150, 607, 513, 2427, 8670, 267, 538, 25235, 267, 610, 607, 513, 3490, 585, 1585, 1292, 6030, 563, 3383, 2436, 596, 3442, 519, 23041, 9008, 1505, 610, 519, 7573, 3434, 518, 1505, 267, 5986, 3109, 7573, 568, 513, 2241, 543, 14785, 1184, 269, 15331, 609, 1114, 4005, 902, 543, 5820, 547, 1711, 2189, 543, 8949, 8286, 602, 5031, 519, 2067, 5898, 543, 6492, 540, 713, 9058, 10286, 563, 23005, 1456, 519, 17828, 18181, 5384, 454, 26502, 14118, 9760, 18181, 5384, 454, 763, 5986, 942, 585, 3109, 7573, 666, 4268, 4470, 593, 1896, 2188, 267, 1519, 519, 1826, 540, 7573, 267, 5551, 9403, 267, 543, 5986, 1505, 269, 13575, 267, 865, 8898, 3109, 7573, 3217, 1472, 476, 1839, 268, 1789, 3764, 547, 3434, 269, 1717, 267, 952, 596, 4782, 513, 29779, 610, 25261, 1512, 9403, 267, 596, 949, 991, 547, 4188, 519, 5986, 942, 9935, 563, 1692, 547, 4530, 952, 4563, 19676, 568, 667, 821, 454, 2414, 2638, 952, 3109, 7573, 568, 2944, 5986, 267, 3274, 1491, 513, 23643, 543, 6492, 513, 10286, 269, 634, 7573, 1058, 581, 13035, 267, 855, 711, 1660, 1506, 267, 609, 513, 13581, 25261, 1465, 269, 1403, 519, 7573, 568, 1869, 1932, 6109, 267, 3136, 5986, 585, 513, 1906, 811, 3764, 269, 898, 568, 2141, 1655, 547, 5594, 896, 322, 809, 3109, 7573, 607, 621, 666, 4163, 936, 2275, 8504, 3002, 267, 4742, 1660, 1506, 952, 2451, 593, 519, 3002, 585, 1932, 1279, 563, 13349, 27190, 1389, 1879, 18181, 4563, 19676, 454, 7021, 322, 8504, 543, 7201, 322, 8504, 454, 7021, 322, 8504, 3109, 7573, 666, 1291, 547, 513, 1660, 1506, 11007, 269, 5901, 513, 2673, 3750, 593, 519, 5986, 942, 543, 2638, 585, 1810, 8864, 5781, 269, 2201, 519, 824, 1688, 267, 896, 322, 8504, 3109, 7573, 949, 1267, 538, 513, 2182, 543, 1750, 14567, 9403, 269, 898, 779, 1271, 547, 1265, 519, 1318, 3666, 547, 3035, 602, 3501, 267, 13035, 11116, 563, 18823, 8091, 4826, 547, 19676, 22472, 454, 8794, 519, 2953, 1216, 547, 7573, 5223, 568, 4105, 950, 5986, 3109, 7573, 269, 18320, 1454, 1216, 666, 1118, 519, 7573, 22350, 2571, 267, 1247, 1932, 2370, 1216, 666, 4734, 621, 896, 322, 10541, 543, 3819, 269, 7427, 519, 5227, 5223, 540, 476, 272, 281, 273, 630, 29029, 547, 1216, 264, 607, 513, 4358, 1448, 543, 4188, 607, 2877, 547, 3035, 519, 5551, 11007, 563, 4415, 891, 4388, 543, 4808, 538, 2247, 267, 5986, 3109, 7573, 1058, 1100, 3476, 581, 513, 18447, 4305, 269, 15331, 609, 1114, 5986, 2409, 267, 4005, 902, 267, 543, 7674, 6163, 547, 2972, 713, 14312, 10286, 538, 1585, 17175, 8286, 269, 1924, 267, 1985, 942, 596, 723, 930, 3109, 7573, 538, 707, 20562, 787, 267, 1810, 1406, 19292, 547, 627, 760, 909, 513, 8949, 543, 2635, 7594, 256, 0, 26980, 5183, 288, 543, 4578, 8232, 538, 715, 4932, 307, 454, 15239, 7232, 1067, 11765, 6481, 18815, 630, 301, 4932, 307, 1070, 7426, 6023, 5561, 685, 1072, 1344, 1169, 1554, 267, 799, 2306, 1239, 3354, 9691, 1271, 563, 301, 4932, 307, 7426, 1590, 16783, 609, 1239, 3354, 6042, 543, 2936, 7347, 3800, 547, 16102, 3461, 1344, 563, 1607, 2376, 6799, 4052, 10220, 2994, 543, 5499, 4485, 3358, 547, 715, 4932, 307, 7426, 269, 1284, 19586, 519, 10848, 267, 3181, 6064, 14868, 267, 543, 16491, 596, 609, 519, 1702, 547, 2149, 707, 2550, 543, 10639, 563, 1432, 1772, 31254, 5183, 288, 28597, 888, 26980, 5183, 288, 630, 10890, 15928, 5800, 1464, 543, 10055, 1464, 2920, 264, 568, 513, 2475, 1876, 602, 6212, 593, 7863, 1271, 1072, 1344, 827, 2550, 269, 898, 5036, 3652, 543, 4441, 547, 1118, 2386, 602, 713, 1344, 267, 1634, 607, 968, 28406, 539, 2657, 6176, 892, 630, 15771, 296, 1070, 568, 6854, 2922, 543, 5150, 563, 26980, 5183, 288, 2337, 2327, 602, 4988, 9988, 630, 328, 4318, 1421, 3782, 7426, 267, 1072, 4566, 267, 543, 3906, 899, 715, 4932, 307, 7426, 264, 6023, 3461, 1344, 19100, 543, 2149, 1004, 779, 7834, 563, 1432, 6496, 31254, 5183, 288, 28597, 9980, 841, 888, 26980, 5183, 288, 10220, 4422, 3564, 6071, 2638, 7901, 525, 269, 898, 7569, 22111, 15984, 547, 513, 3102, 1305, 540, 31254, 5183, 288, 9086, 4808, 269, 595, 2642, 9988, 616, 3743, 585, 30176, 31254, 5183, 288, 10220, 269, 898, 779, 513, 7029, 547, 17420, 6213, 1344, 543, 7863, 513, 3461, 779, 7834, 563, 3963, 1772, 31254, 5183, 288, 14265, 1017, 888, 26980, 5183, 288, 568, 782, 827, 8497, 11682, 296, 779, 7834, 267, 3354, 267, 543, 8699, 269, 11682, 296, 568, 2808, 6213, 1344, 543, 9580, 12023, 896, 31254, 5183, 288, 6042, 269, 898, 2882, 30753, 1344, 827, 513, 1268, 779, 1072, 267, 2564, 1686, 267, 610, 3782, 2533, 563, 1432, 3657, 31254, 5183, 288, 28597, 21976, 888, 28406, 532, 2550, 685, 7834, 543, 17516, 741, 1072, 1344, 3340, 519, 1739, 1614, 3334, 547, 581, 31254, 5183, 288, 5360, 5050, 563, 763, 21041, 14329, 5036, 4441, 585, 7863, 2550, 685, 2924, 547, 7834, 543, 9013, 519, 946, 543, 23930, 540, 741, 1072, 1344, 563, 763, 8232, 14329, 6212, 593, 7598, 2930, 267, 11889, 267, 543, 2168, 28863, 547, 2149, 5907, 13363, 539, 2657, 6176, 630, 324, 15771, 296, 264, 689, 18977, 1569, 267, 946, 267, 610, 23930, 563, 763, 6601, 778, 3502, 2305, 14329, 3340, 4988, 9988, 547, 16425, 711, 1518, 2043, 543, 4143, 8128, 538, 2013, 540, 513, 21556, 540, 796, 5913, 3293, 11682, 296, 563, 1432, 3657, 519, 4107, 5871, 31254, 5183, 288, 15329, 725, 888, 26980, 5183, 288, 19374, 4755, 950, 513, 1268, 610, 1895, 4988, 676, 31254, 5183, 288, 3085, 1406, 1246, 922, 3652, 267, 3056, 547, 18977, 1569, 267, 946, 267, 610, 23930, 540, 11682, 296, 563, 26980, 5183, 288, 19374, 1331, 912, 18719, 704, 2598, 26918, 540, 11682, 296, 4016, 547, 519, 23139, 610, 18977, 4687, 540, 3461, 1344, 609, 2043, 610, 9988, 711, 17101, 547, 1569, 621, 563, 1103, 1228, 12930, 3354, 3800, 2049, 950, 552, 15771, 296, 19330, 14238, 267, 1569, 8060, 267, 610, 2834, 3354, 10526, 267, 6028, 621, 7925, 547, 18977, 1569, 610, 23563, 563, 1103, 1228, 12930, 9751, 543, 17607, 3823, 31254, 5183, 288, 6042, 666, 1291, 547, 23139, 19374, 610, 32657, 663, 1782, 540, 3461, 1239, 269, 4475, 267, 7598, 1697, 2866, 543, 4656, 3292, 547, 2061, 971, 13685, 568, 1898, 563, 1432, 1772, 519, 11957, 540, 4578, 8232, 888, 10574, 3354, 568, 606, 16832, 2460, 540, 2413, 1870, 4238, 269, 26875, 1944, 1239, 3354, 2636, 4213, 547, 2149, 6213, 1344, 3927, 267, 4180, 922, 22637, 543, 8699, 269, 901, 7029, 5252, 919, 3972, 1851, 8639, 267, 18791, 3347, 267, 543, 10597, 519, 3919, 779, 10639, 607, 513, 6325, 1239, 8169, 617, 1014, 563, 28406, 532, 4762, 7808, 640, 543, 16473, 532, 1133, 17769, 7457, 538, 4578, 6601, 2851, 454, 10574, 23563, 10460, 513, 1713, 3463, 547, 715, 4932, 307, 7426, 267, 5732, 20392, 6213, 3461, 1344, 547, 18977, 1569, 269, 634, 4539, 540, 513, 1239, 21556, 8831, 2484, 3564, 2883, 9271, 543, 3656, 20507, 22924, 2144, 3941, 3461, 3972, 543, 8332, 2478, 519, 8699, 540, 707, 2533, 269, 1635, 26724, 1239, 3354, 3800, 267, 971, 607, 7347, 1569, 8060, 267, 14238, 267, 543, 5150, 1239, 4859, 267, 715, 4932, 307, 7426, 666, 7413, 519, 1981, 540, 1239, 23563, 543, 2149, 519, 22637, 540, 3461, 1344, 563, 28406, 532, 4578, 779, 6715, 31772, 543, 2997, 22355, 689, 681, 22095, 2264, 5900, 2931, 454, 1103, 2487, 1296, 267, 26030, 2264, 6285, 723, 1831, 513, 3395, 6161, 585, 715, 4932, 307, 7426, 269, 1452, 17351, 6285, 666, 17278, 610, 3625, 1569, 547, 2565, 1239, 267, 27200, 4238, 543, 1981, 532, 3461, 3106, 563, 25363, 13586, 2500, 14590, 3800, 267, 1519, 2834, 1239, 1394, 5725, 267, 909, 3562, 15082, 3301, 15649, 267, 543, 9441, 2069, 593, 9301, 543, 7303, 26122, 8942, 267, 568, 2629, 538, 19086, 519, 1764, 540, 26030, 2264, 6285, 269, 1677, 2226, 519, 3972, 540, 741, 7218, 543, 1683, 796, 5793, 32152, 3028, 267, 715, 4932, 307, 7426, 1058, 4225, 519, 8699, 543, 8244, 540, 741, 1239, 563, 8139, 519, 31664, 540, 31254, 5183, 288, 15329, 725, 454, 293, 19691, 547, 16783, 609, 519, 31254, 5183, 288, 8232, 14329, 666, 723, 4049, 3656, 4539, 267, 1519, 22717, 543, 21569, 942, 269, 634, 8433, 585, 6406, 7126, 630, 8016, 305, 1070, 519, 12044, 1560, 3743, 585, 30191, 31254, 5183, 288, 267, 814, 519, 6392, 547, 8495, 20286, 543, 2932, 32116, 547, 2708, 10220, 563, 1103, 519, 2680, 540, 513, 18670, 267, 744, 10135, 949, 20818, 14869, 22717, 267, 8151, 689, 5215, 547, 6634, 540, 9489, 267, 4470, 593, 519, 10335, 540, 519, 21556, 543, 519, 4611, 2800, 547, 2043, 563, 268, 6406, 6755, 531, 2906, 281, 1403, 513, 18670, 4523, 1317, 540, 513, 10257, 2014, 543, 711, 18532, 10714, 267, 519, 15163, 666, 4268, 689, 1269, 272, 267, 18231, 547, 1269, 8287, 267, 9032, 274, 829, 18670, 269, 634, 5207, 15163, 585, 835, 1032, 568, 1269, 272, 267, 280, 866, 267, 15876, 563, 268, 22518, 6755, 531, 2906, 281, 1403, 2576, 17543, 3423, 919, 31254, 5183, 288, 676, 13844, 610, 4687, 2576, 3116, 779, 11682, 296, 609, 17351, 8247, 267, 789, 1223, 3068, 513, 5386, 540, 909, 547, 1269, 2004, 267, 1822, 543, 26646, 585, 835, 1032, 610, 1312, 563, 1103, 1840, 547, 519, 3656, 4539, 267, 3423, 908, 31254, 5183, 288, 666, 3441, 707, 1870, 779, 10639, 543, 2014, 596, 547, 6336, 519, 3972, 540, 707, 5561, 563, 303, 4301, 625, 267, 30332, 267, 543, 11657, 566, 585, 28597, 454, 26980, 5183, 288, 31433, 602, 4988, 9988, 267, 1519, 715, 4932, 307, 7426, 267, 9772, 10257, 543, 3617, 4507, 543, 5773, 547, 2149, 11682, 296, 563, 31010, 2854, 3354, 4507, 267, 5638, 267, 543, 10311, 568, 1898, 547, 6542, 5571, 10220, 3646, 269, 1452, 4507, 1058, 2232, 1239, 1569, 8060, 267, 1981, 10526, 267, 9441, 2866, 267, 10071, 3210, 4566, 267, 543, 21556, 31015, 5773, 563, 2414, 1397, 741, 11428, 547, 4180, 1239, 3354, 543, 2057, 20507, 585, 1875, 1260, 20869, 267, 715, 4932, 307, 7426, 1058, 5402, 3561, 741, 10220, 3800, 563, 306, 2378, 8948, 8973, 21111, 4578, 689, 24498, 21784, 338, 454, 1103, 1840, 547, 31254, 5183, 288, 10220, 267, 715, 4932, 307, 7426, 1590, 30082, 2936, 7347, 14590, 3800, 547, 9718, 1996, 9687, 6880, 6937, 269, 901, 2882, 11766, 532, 3595, 31486, 267, 14238, 10873, 267, 543, 5150, 17452, 6127, 267, 543, 10647, 2834, 13438, 10526, 563, 1805, 21880, 28517, 6380, 8948, 1841, 609, 570, 11893, 779, 24046, 4578, 8232, 454, 8802, 8973, 1239, 3354, 538, 715, 4932, 307, 267, 16107, 4359, 2029, 666, 3648, 3986, 519, 4027, 540, 3461, 1344, 269, 570, 11893, 267, 938, 5969, 12967, 3760, 267, 3091, 513, 3102, 24194, 540, 2930, 28863, 2966, 547, 6830, 1518, 1239, 3354, 269, 2913, 779, 2263, 930, 540, 570, 11893, 779, 1883, 2934, 602, 7668, 715, 4932, 307, 7426, 547, 16102, 3461, 1239, 3927, 563, 21918, 1746, 4578, 7457, 547, 8191, 1242, 15706, 454, 307, 11893, 3922, 3278, 1569, 1852 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 14503, 3233, 815, 2525, 6989, 10831, 30974, 1535, 6155, 3925, 815, 2525, 4287, 264, 13634, 7386, 1820, 2891, 22772, 289, 15307, 292, 4582, 1807, 476, 272, 5602, 7386, 1535, 269, 28776, 8266, 4877, 2313, 263, 28776, 10831, 994, 7386, 2132, 1535, 454, 3546, 7684, 3116, 952, 630, 343, 14714, 9850, 815, 2525, 834, 27306, 548, 257, 30974, 1535, 269, 9690, 14503, 3233, 815, 2525, 6989, 10831, 264, 13634, 7386, 1820, 2891, 22772, 289, 15307, 292, 4582, 1807, 476, 273, 5602, 7386, 1535, 269, 28776, 8266, 4877, 2313, 263, 28776, 10831, 994, 7386, 2132, 1535, 454, 3546, 7684, 3116, 952, 630, 343, 269, 9690, 14503, 3233, 2999, 6989, 10831, 30974, 630, 343, 14714, 9850, 815, 2525, 834, 332, 8221, 257, 13466, 834, 4306, 8008, 303, 3633, 8442, 30974, 1535, 6155, 3925, 815, 2525, 834, 10000, 257, 30974, 4287, 815, 2525, 1535, 6155, 3925, 264, 13634, 7386, 1820, 2891, 22772, 289, 15307, 292, 4582, 1807, 476, 274, 5602, 7386, 1535, 269, 28776, 8266, 4877, 2313, 263, 28776, 10831, 994, 7386, 2132, 1535, 454, 3546, 7684, 3116, 952, 630, 343, 269, 9690, 14503, 3233, 3436, 6989, 10831, 30974, 630, 343, 14714, 9850, 815, 2525, 834, 332, 8221, 257, 13466, 834, 4306, 8008, 303, 3633, 8442, 30974, 1535, 6155, 3925, 815, 2525, 834, 291, 1144, 257, 30974, 4287, 815, 2525, 1535, 6155, 3925, 264, 13634, 7386, 1820, 2891, 22772, 289, 15307, 292, 4582, 1807, 476, 275, 5602, 7386, 1535, 269, 28776, 8266, 4877, 2313, 263, 28776, 10831, 994, 7386, 2132, 1535, 454, 3546, 7684, 3116, 952, 630, 343, 14714, 9850, 815, 2525, 834, 27306, 548, 8442, 13634, 7386, 1820, 2891, 22772, 289, 15307, 292, 4582, 1807, 476, 276, 5602, 7386, 1535, 269, 28776, 8266, 4877, 2313, 263, 28776, 10831, 994, 7386, 2132, 1535, 454, 3546, 7684, 454, 3546, 3116, 13634, 7386, 1820, 2891, 22772, 289, 15307, 292, 4582, 1807, 277, 5602, 7386, 15254, 1535, 815, 1582, 11075, 677, 652, 8266, 16216, 4582, 8266, 994, 7386, 2132, 1535, 454, 3546, 7684, 454, 2018, 7684, 454, 1038, 7684, 454, 825, 7684, 692, 825, 7662, 292, 4582, 1807, 263, 14503, 3233, 10831, 267, 667, 3925, 264, 13634, 1038, 15254, 30981, 815, 1582, 26098, 16032, 292, 4582, 1807, 263, 14503, 3233, 10831, 267, 667, 3925, 267, 1582, 4318, 4582, 1807, 8266, 994, 1038, 1820, 2891, 8340, 1655, 30981, 814, 1427, 337, 2740, 2433, 834, 1341, 30981, 8542, 636, 292, 4582, 2209, 994, 1038, 1582, 269, 641, 4733, 292, 4582, 1807, 16216, 4582, 1807, 267, 667, 3925, 994, 825, 7684, 692, 825, 7662, 14503, 3233, 27887, 4582, 1807, 267, 10671, 6479, 14503, 3233, 264, 13634, 1038, 15254, 30981, 815, 1582, 269, 7528, 652, 292, 4582, 1807, 263, 26473, 6479, 14503, 3233, 267, 4287, 267, 1582, 4318, 4582, 1807, 8266, 994, 1038, 1582, 269, 641, 4733, 292, 4582, 1807, 27887, 4582, 1807, 267, 667, 3925, 994, 825, 7684, 692, 825, 7500, 292, 4582, 1807, 27887, 4582, 1807, 267, 667, 3925, 264, 13634, 1038, 1820, 2891, 10113, 6221, 593, 6989, 1592, 2433, 14307, 29175, 1807, 269, 28776, 8266, 314, 271, 7481, 1038, 1247, 630, 292, 4582, 1807, 269, 28776, 8266, 32324, 3436, 476, 271, 264, 13634, 2018, 1820, 2891, 9690, 6989, 2433, 14307, 29175, 1807, 269, 9690, 14503, 3233, 994, 2018, 952, 630, 292, 4582, 1807, 269, 28776, 8266, 314, 271, 316, 815, 2525, 29175, 1807, 269, 9690, 14503, 3233, 264, 13634, 3546, 29175, 1807, 269, 28776, 8266, 11075, 3424, 4590, 3546, 1820, 2891, 2908, 1592, 2433, 14307, 29175, 1807, 269, 28776, 8266, 994, 3546, 1820, 2891, 10113, 10278, 2433, 14307, 29175, 1807, 269, 28776, 8266, 314, 271, 7481, 2018, 7684, 454, 2018, 952, 630, 292, 4582, 1807, 269, 28776, 8266, 314, 271, 316, 3436, 29175, 1807, 269, 9690, 14503, 3233, 264, 13634, 3546, 29175, 1807, 6230, 8221, 10000, 27887, 4582, 1807, 994, 2018, 7684, 454, 2018, 952, 630, 292, 4582, 1807, 269, 28776, 8266, 314, 271, 316, 2999, 29175, 1807, 269, 9690, 14503, 3233, 264, 13634, 3546, 29175, 1807, 6230, 8221, 291, 1144, 4590, 2018, 7684, 454, 1038, 7684, 454, 1038, 952, 630, 292, 4582, 1807, 269, 28776, 8266, 32324, 2999, 476, 272, 264, 13634, 2018, 29175, 1807, 14714, 9850, 815, 834, 27306, 548, 4840, 2018, 29175, 1807, 6155, 3925, 815, 14275, 454, 1038, 7684, 454, 825, 7684, 692, 825, 20125, 8266, 16216, 4582, 4289, 264, 13634, 1038, 15254, 3259, 815, 476, 15886, 280, 454, 1038, 585, 630, 12534, 1775, 815, 476, 271, 1775, 2999, 6173, 4289, 32324, 1775, 10030, 264, 13634, 2018, 952, 630, 26319, 3436, 6173, 4289, 5157, 4940, 28776, 8266, 32324, 264, 13634, 3546, 3259, 815, 6173, 4289, 5157, 4940, 28776, 8266, 32324, 454, 3546, 15254, 586, 815, 6173, 4289, 5157, 2639, 2018, 7684, 454, 1038, 7684, 454, 1038, 2132, 586, 454, 825, 7684, 454, 348, 7531, 2745, 2891, 10852, 273, 5602, 2260, 292, 4582, 1807, 476, 272, 454, 2280, 30981, 6944, 28948, 815, 1007, 29175, 1807, 6944, 28948, 263, 274, 267, 476, 273, 994, 324, 4582, 1807, 6944, 28948, 4318, 4582, 1807, 8266, 314, 271, 4940, 9690, 14503, 3233, 815, 476, 274, 454, 324, 4582, 1807, 6944, 28948, 4318, 4582, 1807, 8266, 314, 271, 4940, 323, 3925, 815, 14275, 454, 324, 4582, 1807, 6944, 28948, 4318, 4582, 1807, 8266, 314, 271, 4940, 560, 9850, 815, 834, 27306, 548, 4840, 324, 4582, 1807, 6944, 28948, 4318, 4582, 1807, 8266, 314, 271, 4940, 28776, 8266, 815, 11713, 2745, 2891, 7052, 265, 257, 1341, 30981, 6944, 28948, 4318, 4582, 1807, 8266, 314, 271, 4940, 11133, 292, 4582, 2209, 2020, 2260, 292, 4582, 1807, 476, 273, 454, 324, 4582, 1807, 6944, 28948, 4318, 4582, 1807, 8266, 314, 272, 4940, 9690, 14503, 3233, 815, 476, 1015, 454, 324, 4582, 1807, 6944, 28948, 4318, 4582, 1807, 8266, 314, 272, 4940, 323, 3925, 815, 14275, 454, 324, 4582, 1807, 6944, 28948, 4318, 4582, 1807, 8266, 314, 272, 4940, 560, 9850, 815, 834, 27306, 548, 4840, 324, 4582, 1807, 6944, 28948, 4318, 4582, 1807, 8266, 314, 272, 4940, 28776, 8266, 815, 11713, 2745, 2891, 7052, 265, 257, 1341, 30981, 6944, 28948, 4318, 4582, 1807, 8266, 314, 272, 4940, 11133, 292, 4582, 2209, 9239, 324, 4582, 1807, 6944, 28948, 269, 7528, 652, 292, 4582, 1807, 263, 1015, 267, 834, 291, 1144, 8442, 0, 5228, 28184, 5793, 1104, 29502, 267, 21642, 309, 541, 267, 570, 963, 767, 267, 30521, 984, 583, 2023, 267, 25373, 267, 715, 10345, 310, 267, 32065, 267, 654, 267, 22443, 267, 28678, 267, 20591, 5723, 29612, 267, 715, 3036, 300, 3201, 267, 5048, 7901, 7531, 5035, 23994, 21397, 10031, 825, 5727, 20360, 578, 1141, 5468, 585, 519, 3014, 666, 581, 12012, 563, 825, 5900, 1026, 2373, 912, 1038, 3597, 281, 6301, 6885, 563, 1038, 5468, 318, 8518, 2401, 281, 17553, 1843, 563, 1038, 3014, 281, 10794, 20360, 578, 454, 1038, 3681, 281, 26275, 540, 1095, 564, 3681, 563, 1038, 11097, 12033, 281, 26275, 540, 11097, 12033, 593, 519, 1402, 1575, 563, 1038, 4259, 281, 24438, 585, 519, 5697, 4259, 563, 1038, 5470, 281, 29491, 585, 8159, 23380, 3403, 563, 1038, 5468, 281, 26275, 540, 1699, 5468, 454, 1038, 1404, 19417, 281, 10794, 21397, 4463, 563, 1038, 1404, 12296, 281, 10794, 21397, 8700, 563, 1038, 4216, 21653, 281, 10794, 21397, 2450, 540, 519, 10945, 563, 1038, 1402, 281, 7377, 1575, 6885, 269, 18421, 10268, 568, 1934, 563, 825, 29185, 825, 1219, 6449, 8181, 9191, 1345, 267, 3597, 267, 5468, 318, 8518, 2401, 267, 3014, 2187, 1038, 5727, 17746, 1192, 528, 269, 30498, 909, 10305, 563, 1038, 1488, 7714, 912, 2018, 3597, 281, 6301, 6885, 454, 2018, 5468, 318, 8518, 2401, 281, 17553, 1843, 563, 2018, 3014, 281, 10794, 21397, 1843, 563, 1038, 8173, 1038, 1582, 269, 10174, 815, 3597, 454, 1038, 1582, 15630, 14005, 318, 8518, 2401, 815, 5468, 318, 8518, 2401, 454, 1038, 1582, 3052, 877, 815, 3014, 454, 1038, 1582, 269, 9953, 687, 815, 22373, 1015, 282, 1015, 282, 1015, 282, 2004, 2580, 834, 1626, 282, 1626, 282, 2412, 282, 2004, 2580, 834, 1626, 282, 1789, 282, 4200, 282, 2004, 31116, 1038, 1582, 9884, 573, 12033, 815, 11713, 1038, 1582, 15630, 1154, 815, 21642, 309, 541, 4590, 1038, 1582, 269, 19587, 815, 8771, 454, 1038, 1582, 6230, 664, 10797, 825, 1219, 1292, 4311, 2187, 1038, 5727, 290, 8712, 3252, 547, 5352, 5468, 1402, 1575, 563, 1038, 8173, 1038, 1582, 269, 9690, 27133, 14005, 4590, 1038, 1582, 21014, 815, 570, 963, 767, 4311, 269, 10174, 994, 1038, 1582, 21014, 26644, 2891, 306, 9116, 902, 5602, 1038, 1582, 269, 613, 5852, 4590, 1038, 1582, 8807, 1371, 4590, 1038, 1582, 269, 8117, 27971, 4590, 1038, 1582, 7456, 629, 1564, 4590, 1038, 1582, 26942, 318, 935, 14808, 10797, 825, 1219, 1699, 27133, 14005, 4311, 2187, 1038, 5727, 294, 1115, 1699, 3014, 5468, 563, 1038, 8173, 1038, 1582, 15630, 14005, 815, 1582, 15630, 14005, 318, 8518, 2401, 269, 2903, 14061, 20889, 2891, 282, 5602, 1038, 1582, 269, 2452, 19417, 815, 703, 4311, 15630, 14005, 314, 271, 7481, 1038, 1582, 269, 2452, 12296, 815, 703, 4311, 15630, 14005, 314, 272, 7481, 1038, 1582, 269, 7901, 21653, 815, 703, 4311, 15630, 14005, 314, 274, 20285, 825, 1219, 9511, 4311, 2187, 1038, 5727, 306, 1115, 519, 1402, 1575, 6885, 2450, 543, 7158, 621, 538, 519, 4099, 540, 519, 10794, 21397, 563, 1038, 8173, 1038, 9511, 13448, 815, 1582, 269, 10174, 269, 7773, 325, 334, 13448, 3890, 23444, 1345, 269, 7901, 21653, 2260, 273, 12684, 1345, 269, 2452, 12296, 268, 5611, 454, 1038, 9511, 14729, 815, 1582, 269, 10174, 269, 7773, 325, 334, 14729, 3890, 23444, 1345, 269, 2452, 19417, 1341, 476, 272, 31618, 1345, 269, 7901, 21653, 2260, 273, 9984, 1911, 454, 1038, 1582, 21014, 269, 613, 5852, 6600, 257, 4968, 343, 1220, 266, 346, 613, 5852, 13448, 15396, 346, 613, 5852, 14729, 348, 5602, 1038, 1582, 21014, 269, 637, 14184, 263, 16178, 267, 8771, 2020, 825, 1219, 1445, 4311, 2187, 1038, 5727, 24836, 2125, 1445, 547, 519, 1402, 1575, 6885, 543, 2061, 4205, 609, 519, 10794, 21397, 563, 1038, 8173, 1038, 1582, 21014, 8807, 1371, 27133, 4590, 1038, 1582, 21014, 9884, 7159, 318, 6665, 2225, 4590, 1038, 1582, 21014, 3052, 4599, 27133, 10797, 825, 1219, 10297, 4311, 2187, 1038, 5727, 17653, 919, 1257, 593, 519, 1402, 1575, 6885, 454, 1038, 8173, 1038, 6003, 815, 22443, 4311, 21014, 267, 1257, 6889, 302, 6877, 281, 5602, 1038, 6003, 26942, 21405, 284, 271, 267, 6241, 284, 271, 267, 20202, 284, 301, 310, 994, 1038, 5931, 815, 22373, 3891, 697, 630, 276, 268, 736, 2567, 2580, 834, 310, 5954, 630, 276, 268, 1839, 2567, 2580, 834, 300, 1149, 630, 272, 268, 4335, 2567, 31116, 1038, 585, 1775, 538, 2039, 263, 274, 2187, 2018, 6003, 815, 22443, 4311, 21014, 267, 1257, 284, 3667, 338, 5157, 7481, 2018, 6003, 26942, 21405, 284, 328, 266, 272, 267, 6241, 284, 272, 2020, 825, 1219, 16181, 4311, 2187, 1038, 5727, 17653, 919, 16181, 593, 519, 1402, 1575, 6885, 454, 1038, 8173, 1038, 5931, 815, 22373, 1015, 343, 1015, 7470, 14826, 476, 1015, 15183, 20350, 4449, 834, 1626, 343, 1626, 7470, 14826, 476, 2412, 15183, 2580, 834, 1626, 343, 1789, 7470, 14826, 476, 4200, 15183, 31116, 1038, 585, 1775, 538, 2039, 263, 274, 2187, 2018, 7735, 815, 30521, 984, 583, 2023, 4311, 21014, 267, 4756, 284, 1345, 15630, 1154, 994, 2018, 7735, 26769, 14808, 18692, 3546, 1257, 284, 3667, 338, 5157, 3910, 1871, 284, 1345, 269, 9953, 687, 5157, 3910, 4971, 284, 1345, 269, 13765, 6831, 2396, 994, 2018, 7735, 26942, 21405, 284, 328, 266, 272, 267, 6241, 284, 271, 267, 20202, 284, 10064, 11246, 994, 2018, 1582, 9884, 573, 12033, 6910, 6357, 583, 2023, 994, 1038, 1582, 6983, 2396, 14682, 877, 16062, 573, 12033, 4590, 1038, 1582, 15630, 14067, 919, 4590, 1038, 7735, 275, 815, 29502, 4311, 21014, 267, 1257, 6889, 10498, 2580, 4971, 284, 1345, 269, 4219, 27133, 1154, 994, 1038, 7735, 275, 26942, 21405, 284, 275, 267, 6241, 284, 271, 267, 20202, 284, 10064, 11246, 994, 1038, 7735, 276, 815, 29502, 4311, 21014, 267, 1257, 6889, 290, 30327, 2580, 4971, 284, 1345, 21014, 6155, 652, 5797, 994, 1038, 7735, 276, 26942, 21405, 284, 275, 267, 6241, 284, 273, 267, 20202, 284, 10064, 11246, 2020, 825, 1219, 2688, 14682, 877, 16062, 573, 12033, 4311, 2187, 1038, 5727, 17653, 919, 10237, 984, 583, 2023, 543, 7127, 338, 585, 3403, 1154, 2688, 3014, 5468, 563, 1038, 8173, 1038, 7735, 815, 30521, 984, 583, 2023, 18692, 2018, 1582, 21014, 267, 1257, 6889, 322, 2396, 2580, 4756, 284, 1345, 15630, 1154, 267, 1871, 6889, 272, 2580, 4971, 284 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 476, 274, 4458, 1974, 896, 7156, 267, 519, 928, 11732, 2841, 3218, 540, 10548, 340, 543, 7577, 568, 281, 18692, 320, 454, 264, 2419, 2086, 320, 12275, 906, 18692, 321, 454, 264, 300, 582, 340, 13225, 2967, 543, 29564, 18692, 322, 454, 264, 306, 1506, 600, 340, 543, 7577, 18692, 323, 454, 264, 291, 13741, 340, 13225, 2967, 543, 25860, 18692, 324, 454, 264, 14085, 540, 891, 2190, 269, 2690, 519, 1296, 476, 1960, 279, 268, 4200, 543, 476, 1960, 280, 268, 1220, 271, 267, 799, 2754, 13757, 519, 5934, 2557, 540, 1689, 540, 6455, 286, 18692, 320, 454, 264, 291, 13741, 340, 13225, 2967, 543, 25860, 18692, 321, 454, 264, 299, 3711, 340, 570, 1168, 926, 543, 29564, 18692, 322, 454, 264, 305, 600, 340, 543, 7577, 18692, 323, 454, 264, 2419, 2086, 320, 12275, 906, 18692, 324, 454, 264, 14085, 540, 891, 1839, 269, 2690, 519, 1296, 476, 1960, 280, 268, 1220, 271, 543, 476, 1220, 271, 268, 1220, 272, 267, 799, 4818, 1415, 814, 519, 5021, 2557, 540, 1689, 540, 6455, 286, 18692, 320, 454, 264, 291, 13741, 340, 13225, 2967, 543, 25860, 27210, 321, 454, 264, 305, 600, 340, 543, 7577, 18692, 322, 454, 264, 306, 1506, 600, 340, 543, 7577, 18692, 323, 454, 264, 299, 3711, 340, 570, 1168, 926, 543, 25860, 454, 18089, 10711, 31239, 2004, 277, 271, 3583, 3199, 280, 18089, 271, 454, 4510, 277, 27151, 5379, 277, 5952, 273, 28178, 278, 8287, 24833, 31318, 14225, 271, 6246, 275, 5038, 27157, 454, 305, 600, 340, 1299, 3213, 2529, 1506, 600, 340, 261, 3213, 269, 2419, 2086, 320, 294, 541, 906, 300, 582, 340, 13225, 2967, 261, 29564, 299, 3711, 340, 307, 1168, 926, 1299, 29662, 750, 338, 291, 13741, 340, 13225, 2967, 261, 25860, 454, 1960, 279, 268, 4200, 476, 1960, 280, 268, 1220, 271, 476, 1220, 271, 268, 1220, 272, 454, 306, 2297, 514, 20745, 15301, 290, 549, 637, 994, 1556, 476, 273, 476, 274, 476, 275, 2537, 275, 692, 9915, 4488, 24361, 692, 24746, 13048, 4041, 16774, 454, 14625, 272, 454, 338, 692, 297, 8085, 312, 1220, 273, 454, 338, 454, 15578, 19766, 292, 2316, 3582, 631, 3008, 9898, 454, 18692, 324, 454, 264, 2419, 2086, 320, 12275, 906, 2918, 6993, 5721, 4881, 693, 519, 3432, 540, 476, 3445, 5998, 10774, 337, 22613, 513, 680, 520, 845, 540, 3259, 476, 8182, 544, 538, 476, 1015, 7643, 269, 1548, 568, 519, 3259, 540, 1492, 5721, 630, 514, 15432, 21663, 18692, 320, 454, 264, 2568, 18692, 321, 454, 264, 3445, 18692, 322, 454, 264, 5611, 18692, 323, 454, 264, 9610, 18692, 324, 454, 264, 29710, 278, 7868, 3328, 540, 476, 275, 15654, 1256, 2338, 568, 476, 280, 269, 7617, 540, 891, 568, 519, 1101, 1297, 286, 18692, 320, 454, 264, 277, 18692, 321, 454, 264, 275, 18692, 322, 454, 264, 279, 18692, 323, 454, 264, 1015, 18692, 324, 454, 264, 14338, 279, 7868, 3845, 1063, 4077, 340, 454, 338, 543, 2494, 328, 454, 338, 4025, 568, 6344, 5998, 269, 4077, 340, 24964, 519, 2898, 3845, 689, 1200, 1747, 547, 300, 8643, 454, 338, 693, 476, 1789, 5998, 10774, 337, 855, 8120, 693, 476, 2412, 5998, 10774, 337, 269, 4173, 25939, 32497, 585, 519, 2898, 3460, 568, 630, 32191, 2567, 18692, 320, 454, 264, 3607, 5998, 10774, 337, 18692, 321, 454, 264, 4391, 5998, 10774, 337, 18692, 322, 454, 264, 3451, 5998, 10774, 337, 18692, 323, 454, 264, 4097, 5998, 10774, 337, 18692, 324, 454, 264, 3374, 5998, 10774, 337, 3066, 7868, 3328, 540, 519, 476, 272, 560, 476, 2004, 2067, 2338, 568, 281, 18692, 320, 454, 264, 1839, 18692, 321, 454, 264, 1839, 269, 276, 18692, 322, 454, 264, 2918, 269, 275, 18692, 323, 454, 264, 2004, 18692, 324, 454, 994, 2004, 454, 1789, 6993, 1978, 2040, 540, 2724, 29156, 538, 476, 1015, 1296, 693, 2241, 15517, 269, 1548, 568, 519, 2557, 540, 1719, 286, 18692, 320, 454, 264, 736, 260, 18692, 321, 454, 264, 1789, 260, 18692, 322, 454, 264, 1015, 260, 18692, 323, 454, 264, 276, 260, 18692, 324, 454, 264, 1321, 14999, 17445, 687, 630, 304, 269, 476, 4029, 268, 3374, 2187, 19138, 519, 2650, 7302, 691, 543, 3349, 2016, 10964, 578, 543, 2626, 519, 2055, 602, 1246, 1765, 263, 763, 1239, 2982, 560, 520, 2524, 827, 476, 275, 3506, 630, 288, 267, 645, 267, 595, 543, 667, 264, 607, 538, 519, 1032, 476, 1220, 272, 8094, 4029, 269, 7617, 1153, 814, 519, 5021, 1297, 540, 8004, 29324, 286, 18692, 320, 454, 264, 288, 18692, 321, 454, 264, 289, 18692, 322, 454, 264, 18485, 595, 543, 667, 18692, 323, 454, 264, 290, 18692, 324, 454, 264, 291, 3953, 28560, 519, 1297, 540, 1053, 540, 1153, 589, 2333, 676, 1321, 269, 276, 260, 543, 602, 540, 1153, 645, 6175, 676, 476, 1015, 9077, 1018, 568, 519, 5223, 1993, 519, 1297, 540, 1053, 538, 519, 1079, 3506, 286, 18692, 320, 454, 264, 273, 2433, 476, 274, 18692, 321, 454, 264, 274, 2433, 476, 273, 18692, 322, 454, 264, 272, 2433, 476, 272, 18692, 323, 454, 264, 275, 2433, 476, 274, 18692, 324, 454, 264, 274, 2433, 476, 275, 3451, 16638, 1153, 645, 267, 476, 1015, 260, 1053, 8959, 538, 2257, 267, 476, 736, 260, 8959, 514, 16450, 543, 476, 1789, 260, 8959, 538, 6575, 269, 1548, 568, 519, 6871, 1055, 841, 999, 538, 1153, 645, 286, 18692, 320, 454, 264, 1428, 18692, 321, 454, 264, 1839, 18692, 322, 454, 264, 1321, 18692, 323, 454, 264, 1321, 454, 1321, 454, 18692, 324, 454, 264, 15876, 275, 7868, 2698, 1297, 540, 6575, 1053, 6829, 607, 513, 704, 1417, 720, 540, 2698, 1297, 540, 16450, 1053, 568, 26140, 2954, 2567, 18692, 320, 454, 264, 3953, 18692, 321, 454, 264, 3607, 18692, 322, 454, 264, 3374, 18692, 323, 454, 264, 1789, 18692, 324, 454, 264, 4343, 274, 276, 32289, 1082, 6690, 616, 972, 538, 2257, 6908, 540, 1153, 291, 286, 18692, 320, 454, 264, 25784, 18692, 321, 454, 264, 3583, 275, 18692, 322, 454, 264, 6434, 18692, 323, 454, 264, 25784, 18692, 324, 454, 264, 10574, 16283, 3607, 6993, 4009, 568, 27485, 3330, 513, 5858, 540, 8953, 476, 275, 4699, 23130, 568, 519, 1858, 540, 519, 26484, 3148, 538, 519, 6516, 286, 18692, 320, 454, 264, 1015, 4699, 454, 273, 454, 18692, 321, 454, 264, 279, 4699, 454, 273, 454, 18692, 322, 454, 994, 10711, 454, 9492, 454, 273, 454, 18692, 323, 454, 264, 1626, 4699, 454, 273, 454, 18692, 324, 454, 994, 279, 454, 9492, 454, 273, 454, 4391, 6993, 4009, 568, 6537, 3330, 513, 1318, 268, 22931, 6906, 609, 1492, 1079, 13902, 5011, 607, 476, 1321, 4699, 543, 476, 279, 4699, 269, 1548, 568, 519, 2515, 540, 519, 4102, 2009, 4009, 602, 666, 581, 6537, 286, 18692, 320, 454, 264, 275, 4699, 18692, 321, 454, 264, 275, 269, 279, 4699, 18692, 322, 454, 264, 275, 269, 276, 4699, 18692, 323, 454, 264, 275, 269, 275, 4699, 18692, 324, 454, 264, 276, 4699, 4343, 269, 16248, 9810, 1235, 616, 6964, 547, 9496, 513, 556, 3104, 2740, 17367, 6004, 2473, 269, 8307, 835, 16886, 568, 6190, 547, 6146, 1864, 952, 621, 560, 686, 7719, 538, 519, 2212, 269, 634, 17831, 540, 519, 9810, 1235, 11495, 16031, 2473, 454, 338, 2212, 676, 741, 4439, 7410, 616, 476, 271, 269, 273, 267, 476, 271, 269, 274, 543, 476, 271, 269, 275, 269, 1548, 568, 519, 22238, 1464, 602, 6004, 2473, 568, 8929, 4666, 286, 18692, 320, 454, 264, 271, 269, 28656, 18692, 321, 454, 264, 271, 269, 280, 18692, 322, 454, 264, 271, 269, 272, 18692, 323, 454, 264, 271, 269, 31318, 18692, 324, 454, 264, 271, 269, 277, 5038, 4375, 269, 7617, 540, 519, 1739, 2338, 568, 513, 3501, 4009, 286, 18692, 320, 454, 264, 9083, 4905, 18692, 321, 454, 264, 14338, 2420, 18692, 322, 454, 264, 9340, 1321, 18692, 323, 454, 264, 27898, 4649, 18692, 324, 454, 264, 6200, 26522, 271, 7868, 1739, 1079, 5515, 723, 519, 1482, 15943, 269, 7617, 540, 519, 1739, 6898, 568, 3020, 286, 18692, 320, 454, 264, 763, 4009, 543, 519, 5858, 723, 3160, 2127, 15301, 454, 321, 454, 264, 763, 1858, 540, 4009, 568, 3152, 982, 602, 540, 519, 5858, 15301, 454, 322, 454, 264, 763, 1858, 540, 519, 5858, 568, 3152, 15301, 454, 323, 454, 264, 22704, 540, 5858, 568, 454, 11027, 454, 9392, 602, 540, 519, 4009, 15301, 454, 324, 454, 264, 14085, 540, 891, 269, 6078, 10422, 6652, 3019, 454, 338, 11332, 2115, 513, 4195, 5862, 269, 1261, 6499, 476, 273, 18707, 517, 1010, 11332, 269, 634, 18048, 2982, 782, 519, 2139, 476, 276, 18707, 269, 769, 6011, 1082, 2081, 666, 2398, 553, 3019, 5862, 1010, 11332, 286, 18692, 320, 454, 264, 278, 18692, 321, 454, 264, 1015, 18692, 322, 454, 264, 273, 454, 276, 454, 18692, 323, 454, 264, 736, 18692, 324, 454, 264, 276, 454, 273, 454, 18662, 3163, 2433, 27258, 2433, 4467, 12692, 2433, 21989, 6635, 1206, 288, 272, 2433, 476, 275, 2433, 476, 1428, 2433, 476, 275, 289, 275, 2433, 476, 272, 2433, 476, 1428, 2433, 476, 272, 290, 273, 2433, 476, 276, 2433, 476, 2420, 2433, 476, 278, 291, 274, 2433, 476, 276, 2433, 476, 1556, 2433, 476, 279, 454, 10743, 454, 305, 26559, 454, 306, 13645, 306, 13645, 17781, 692, 1012, 11314, 630, 4366, 277, 2020, 333, 823, 454, 534, 8663, 553, 756, 629, 340, 17329, 713, 0, 1692, 547, 12433, 543, 16534, 585, 519, 20099, 543, 32309, 540, 513, 10910, 4861, 639, 1923, 19162, 345, 558, 18185, 692, 763, 3239, 1657, 568, 513, 32077, 639, 780, 2414, 12337, 519, 1858, 540, 513, 32077, 639, 267, 835, 1898, 9936, 568, 2877, 543, 713, 9936, 568, 3259, 540, 2427, 630, 320, 6393, 763, 4542, 585, 12719, 519, 15943, 540, 513, 32077, 639, 1384, 303, 815, 476, 275, 320, 692, 8489, 3248, 303, 815, 32309, 540, 519, 32077, 639, 454, 320, 815, 3259, 540, 2427, 692, 4131, 779, 4194, 606, 1383, 3248, 8340, 519, 15943, 540, 513, 32077, 639, 950, 519, 3259, 540, 2427, 568, 476, 1789, 4699, 780, 1607, 10522, 602, 3248, 320, 815, 20099, 540, 2427, 815, 476, 1789, 4699, 692, 303, 815, 476, 275, 320, 454, 303, 815, 476, 275, 1535, 476, 1789, 454, 303, 815, 476, 6344, 692, 11997, 267, 519, 15943, 540, 519, 32077, 639, 568, 476, 6344, 4699, 780, 15612, 908, 519, 20099, 540, 17121, 1210, 519, 32309, 540, 519, 10910, 4861, 639, 780, 320, 815, 623, 1315, 476, 275, 692, 8489, 3248, 320, 815, 20099, 540, 17121, 454, 303, 815, 32309, 540, 519, 32077, 639, 692, 4131, 779, 4194, 606, 1383, 3248, 11693, 602, 519, 15943, 540, 519, 32077, 639, 568, 476, 5197, 4699, 269, 4855, 519, 3259, 540, 2427, 2496, 320, 815, 623, 1315, 476, 275, 692, 1607, 10522, 602, 3248, 303, 815, 15943, 540, 519, 32077, 639, 815, 476, 5197, 4699, 692, 320, 815, 623, 1315, 476, 275, 454, 320, 815, 476, 5197, 1315, 476, 275, 454, 320, 815, 476, 3393, 692, 11997, 267, 519, 3259, 540, 2427, 568, 476, 3393, 4699, 269, 0, 2162, 5851, 3436, 595, 3201, 290, 3436, 3848, 476, 272, 3436, 7689, 476, 272, 269, 273, 269, 273, 3436, 9046, 272, 268, 4391, 692, 272, 268, 4391, 780, 288, 1286, 12599, 693, 513, 2557, 540, 1269, 736, 343, 1341, 476, 1789, 259, 5195, 829, 5662, 585, 1269, 271, 18016, 1535, 18016, 512, 16859, 272, 269, 28220, 513, 6991, 3113, 543, 6003, 519, 17887, 609, 519, 2953, 4559, 780, 273, 269, 1744, 1228, 519, 1858, 896, 519, 7455, 585, 1269, 271, 18016, 1535, 18016, 512, 10608, 1548, 1281, 713, 1858, 2099, 2496, 763, 1858, 4564, 3845, 14612, 630, 528, 12761, 264, 1063, 1269, 343, 815, 476, 271, 259, 543, 1269, 343, 815, 512, 16859, 274, 269, 1548, 616, 519, 4559, 540, 519, 1858, 286, 11512, 875, 596, 917, 780, 763, 3337, 568, 513, 25671, 1355, 563, 19668, 1269, 272, 259, 543, 3490, 1269, 273, 259, 616, 7299, 267, 865, 789, 2099, 6991, 1109, 7445, 2765, 3189, 3667, 31551, 3796, 24828, 3667, 346, 327, 712, 3686, 14204, 3891, 697, 568, 8880, 267, 865, 621, 4564, 942, 267, 538, 3108, 269, 21414, 519, 1858, 540, 513, 25671, 1355, 269, 22217, 1518, 519, 4559, 780, 275, 269, 30770, 519, 3845, 14612, 585, 1269, 271, 18016, 1535, 18016, 476, 273, 16859, 8340, 1269, 288, 263, 736, 343, 1341, 476, 1789, 267, 259, 1109, 259, 271, 18016, 1535, 18016, 476, 273, 7751, 780, 8196 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 12163, 28098, 420, 365, 350, 31271, 508, 26233, 356, 7511, 418, 497, 491, 30853, 454, 28098, 420, 365, 350, 7511, 31271, 508, 26233, 356, 23746, 23284, 20693, 357, 26233, 479, 418, 371, 375, 20693, 510, 454, 420, 489, 354, 10254, 510, 30522, 353, 27818, 418, 498, 373, 32517, 362, 12571, 492, 7511, 24724, 31271, 508, 26233, 356, 2073, 10254, 503, 13213, 502, 31308, 509, 29873, 421, 375, 502, 18777, 353, 7511, 31271, 508, 26233, 356, 29219, 454, 20701, 454, 5035, 31287, 912, 825, 2012, 815, 834, 4840, 825, 14057, 815, 476, 276, 269, 271, 692, 825, 1219, 6449, 8181, 9191, 1345, 267, 2012, 267, 14057, 2187, 1038, 1582, 20508, 815, 2012, 454, 1038, 1582, 4732, 531, 776, 815, 14057, 692, 825, 1219, 1449, 4311, 2187, 1038, 1820, 2891, 22721, 307, 15419, 825, 7711, 5035, 24709, 454, 825, 1219, 513, 263, 743, 338, 2187, 1038, 1820, 263, 272, 2020, 258, 29635, 364, 481, 17958, 30837, 503, 26233, 479, 25913, 25622, 7531, 32715, 2465, 18502, 30800, 604, 6449, 4067, 1029, 2652, 21507, 10852, 1029, 262, 1384, 825, 3227, 815, 31287, 2891, 1206, 331, 2580, 476, 15886, 15886, 994, 825, 3227, 3052, 2658, 815, 476, 272, 692, 825, 1820, 2891, 13161, 364, 417, 351, 508, 31271, 508, 26233, 356, 16088, 2580, 3227, 3052, 2658, 2020, 825, 1820, 2891, 32517, 362, 418, 498, 373, 31176, 491, 16088, 2580, 3227, 20508, 994, 825, 3227, 20508, 815, 1412, 323, 663, 663, 534, 7055, 825, 1820, 2891, 32517, 362, 418, 498, 373, 12571, 492, 16088, 2580, 3227, 20508, 2020, 825, 1642, 3227, 3052, 2658, 454, 825, 1948, 1820, 834, 10254, 510, 30522, 353, 12571, 492, 16088, 2580, 3227, 3052, 2658, 692, 825, 1820, 2891, 5992, 7462, 5602, 825, 1820, 2891, 13757, 3430, 337, 10254, 353, 13161, 511, 15159, 12571, 355, 20069, 27882, 353, 31271, 508, 26233, 356, 16088, 2580, 814, 3430, 337, 263, 11391, 267, 1412, 15680, 776, 10807, 2020, 825, 1820, 2891, 1326, 3430, 337, 420, 492, 371, 9463, 500, 4067, 31271, 508, 26233, 356, 16088, 2580, 1205, 3430, 337, 263, 11391, 267, 834, 4067, 8442, 2020, 825, 1305, 3430, 337, 263, 11391, 267, 834, 15680, 776, 2580, 476, 272, 994, 825, 1820, 2891, 3553, 3430, 337, 31271, 508, 26233, 356, 15680, 776, 16088, 2580, 1205, 3430, 337, 263, 11391, 267, 834, 15680, 776, 8442, 2020, 825, 1642, 3227, 4732, 531, 776, 692, 825, 1820, 2891, 10254, 510, 30522, 353, 12571, 492, 16088, 2580, 3227, 4732, 531, 776, 994, 0, 454, 258, 476, 30317, 14756, 482, 7511, 29830, 373, 30536, 15159, 16088, 27936, 421, 499, 379, 18998, 19540, 483, 14395, 373, 21251, 23746, 9463, 502, 18998, 32352, 417, 508, 489, 14035, 504, 21550, 371, 7531, 3698, 1449, 10031, 825, 1948, 13127, 28187, 31563, 418, 481, 367, 28884, 27936, 18263, 487, 20069, 22047, 30317, 27381, 510, 7511, 24042, 267, 476, 28884, 20693, 510, 31968, 20881, 501, 9463, 371, 454, 825, 24042, 272, 815, 630, 272, 267, 994, 825, 1820, 6025, 340, 921, 272, 2020, 825, 1948, 834, 23746, 9463, 502, 257, 476, 7511, 24042, 454, 825, 512, 815, 18011, 320, 3299, 1412, 321, 3299, 18358, 288, 3299, 1412, 289, 11172, 2020, 825, 1820, 6025, 314, 273, 20285, 825, 512, 314, 273, 4940, 6572, 3488, 290, 17210, 825, 1820, 6025, 314, 273, 20285, 825, 1948, 24042, 476, 7511, 30317, 27381, 510, 418, 490, 485, 12571, 495, 15159, 21251, 23746, 9463, 502, 7511, 8147, 12916, 484, 15159, 418, 490, 485, 12571, 495, 7511, 19540, 483, 14395, 373, 417, 28187, 31563, 15159, 22047, 1592, 2073, 1592, 15159, 23746, 9463, 502, 7511, 12486, 7531, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1449, 3890, 0, 18851, 14035, 504, 14756, 356, 19867, 379, 20701, 258, 13127, 488, 357, 29830, 358, 454, 5035, 10960, 912, 825, 1591, 815, 6936, 454, 825, 2085, 815, 476, 1015, 692, 825, 1219, 6422, 4311, 2187, 1038, 1820, 2891, 20693, 357, 29830, 358, 25263, 504, 20693, 357, 12486, 12486, 257, 9239, 258, 13127, 497, 374, 18263, 367, 20693, 357, 29830, 358, 454, 5035, 26495, 1023, 10031, 825, 4552, 815, 6936, 692, 825, 1219, 6089, 12890, 4311, 2187, 1038, 1820, 2891, 417, 497, 374, 18263, 367, 20693, 357, 29830, 358, 25263, 504, 417, 497, 374, 18263, 367, 12486, 12486, 12486, 15419, 692, 258, 476, 32512, 454, 5035, 5274, 29687, 2459, 1023, 267, 10960, 17107, 825, 1219, 2161, 4311, 2187, 1038, 1820, 2891, 32512, 25263, 504, 13644, 368, 13644, 507, 257, 9239, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1480, 815, 5274, 4590, 825, 1480, 6155, 29174, 4590, 825, 1480, 4732, 599, 4590, 825, 1480, 269, 3691, 770, 12890, 30800, 0, 258, 4939, 30515, 258, 20593, 1206, 519, 27033, 1712, 3758, 547, 607, 857, 328, 454, 5814, 556, 692, 5814, 11885, 607, 5286, 454, 5814, 21795, 607, 19073, 454, 5814, 27033, 10757, 1092, 454, 5228, 28189, 8807, 324, 1155, 318, 2169, 3555, 269, 3667, 1104, 570, 325, 573, 325, 309, 10725, 6500, 7531, 3698, 27033, 1712, 15461, 318, 30913, 328, 4433, 2187, 825, 2132, 1412, 8339, 21860, 6262, 585, 524, 538, 27033, 10757, 1092, 269, 7538, 1125, 3488, 22143, 291, 3299, 521, 994, 4449, 567, 952, 27033, 10757, 1092, 6983, 14394, 6262, 264, 11203, 1412, 300, 333, 262, 9239, 3698, 840, 15263, 5334, 27542, 26028, 2187, 825, 530, 815, 530, 14714, 8692, 14061, 12294, 10797, 825, 1948, 2870, 513, 2230, 1063, 513, 2262, 543, 519, 18685, 1739, 621, 19838, 281, 834, 515, 568, 513, 7911, 1701, 18092, 834, 515, 568, 513, 7911, 1547, 4840, 825, 1948, 13129, 18737, 4179, 2517, 23637, 1478, 6503, 2593, 270, 638, 5465, 270, 3607, 275, 6795, 274, 272, 270, 7090, 1790, 32061, 1790, 9417, 6672, 2914, 603, 22554, 17898, 2167, 268, 15209, 454, 825, 1948, 910, 335, 9417, 6672, 454, 825, 530, 815, 556, 16553, 16868, 257, 8443, 286, 23511, 267, 382, 379, 258, 287, 271, 268, 280, 8079, 2580, 678, 257, 2580, 530, 2020, 825, 2132, 530, 7531, 338, 3263, 815, 19073, 18667, 32269, 3488, 323, 21648, 1115, 4882, 3263, 27406, 262, 9239, 9008, 4671, 325, 573, 325, 815, 31460, 301, 9331, 318, 307, 10498, 27602, 815, 476, 1015, 454, 1721, 31423, 538, 5439, 9131, 299, 20315, 262, 4940, 684, 1664, 10031, 825, 2473, 815, 5439, 314, 338, 3263, 9131, 299, 20315, 11172, 2652, 31423, 6012, 262, 307, 28692, 262, 4940, 1952, 569, 263, 2181, 15263, 5334, 27542, 1040, 1729, 5332, 17056, 10797, 825, 23686, 573, 325, 29999, 815, 570, 325, 573, 325, 309, 10725, 6500, 263, 534, 3315, 10045, 8782, 5320, 3299, 562, 13559, 318, 9792, 14352, 272, 267, 476, 272, 4917, 825, 2473, 29999, 4671, 4920, 11526, 815, 23686, 573, 325, 29999, 32265, 4671, 4920, 845, 11583, 994, 825, 2934, 12173, 815, 5286, 15126, 6025, 325, 573, 325, 29999, 10947, 6958, 324, 1155, 5332, 1868, 31156, 825, 2934, 318, 311, 815, 2473, 29999, 4671, 4920, 11526, 27904, 263, 9471, 284, 271, 2020, 825, 1283, 4671, 758, 839, 815, 2934, 12173, 314, 8987, 10623, 2137, 318, 311, 1040, 16911, 677, 3890, 6012, 271, 6012, 281, 301, 9331, 318, 307, 10498, 27602, 2639, 825, 1283, 4671, 325, 573, 325, 269, 26303, 263, 19127, 1038, 31423, 281, 22207, 29717, 21860, 6025, 641, 4671, 758, 839, 994, 825, 7684, 2020, 2745, 4590, 335, 323, 6185, 1092, 20988, 269, 5228, 18380, 6025, 641, 4671, 325, 573, 325, 267, 7259, 8782, 8161, 262, 1040, 1729, 32269, 3488, 9008, 4671, 758, 839, 27406, 5073, 0, 3698, 6443, 28949, 12949, 281, 1193, 267, 15259, 281, 1193, 815, 834, 4802, 5060, 8442, 9847, 1193, 912, 825, 952, 15259, 2652, 834, 4802, 5060, 13426, 1038, 1427, 815, 2619, 314, 271, 2639, 1038, 585, 533, 538, 2619, 314, 272, 281, 14158, 2018, 1427, 6834, 834, 270, 257, 1341, 533, 454, 1038, 2132, 1427, 454, 825, 1820, 2891, 16533, 504, 10951, 359, 14395, 508, 27064, 364, 2580, 15259, 267, 834, 31284, 7511, 420, 371, 363, 23523, 482, 418, 489, 376, 12571, 486, 20693, 509, 420, 25693, 5602, 825, 7682, 8771, 7531, 3698, 8237, 9638, 987, 281, 1193, 267, 15259, 281, 1193, 815, 834, 4802, 5060, 8442, 9847, 1592, 912, 825, 952, 15259, 2652, 834, 4802, 5060, 13426, 1038, 2132, 2619, 21858, 2891, 270, 5602, 825, 8640, 15259, 2652, 834, 13388, 3298, 13426, 1038, 2132, 2619, 21858, 2891, 11138, 5602, 825, 1820, 2891, 16533, 504, 10951, 359, 14395, 508, 27064, 364, 2580, 15259, 267, 834, 31284, 7511, 420, 371, 363, 23523, 482, 418, 489, 376, 12571, 486, 20693, 509, 420, 25693, 5602, 825, 7682, 8771, 7531, 3698, 547, 318, 13388, 3298, 9638, 987, 281, 1193, 264, 9847, 1193, 912, 825, 2132, 2619, 18622, 2897, 2891, 270, 2580, 834, 11138, 257, 9239, 3698, 547, 318, 4802, 5060, 9638, 987, 281, 1193, 264, 9847, 1193, 912, 825, 2132, 2619, 18622, 2897, 2891, 11138, 2580, 834, 270, 5602, 0, 454, 258, 476, 272, 4297, 30727, 296, 1777, 13577, 1259, 547, 5173, 27353, 454, 258, 1219, 898, 339, 13577, 318, 2399, 3645, 3799, 2187, 258, 672, 1795, 815, 476, 272, 454, 258, 672, 585, 1775, 538, 2039, 3799, 2187, 258, 1363, 1795, 815, 1795, 16732, 328, 266, 272, 994, 258, 672, 2132, 1795, 454, 258, 562, 284, 703, 9272, 15405, 258, 1820, 263, 296, 1777, 13577, 318, 2399, 3645, 3799, 4917, 16482, 16482, 258, 476, 273, 4297, 30727, 516, 15479, 633, 1237, 577, 547, 5173, 535, 2399, 3645, 540, 1022, 1100, 454, 258, 1219, 476, 27353, 318, 13434, 584, 322, 633, 3799, 2187, 258, 672, 952, 476, 562, 2525, 272, 912, 258, 8587, 2132, 476, 272, 454, 258, 672, 3116, 912, 258, 8587, 2132, 562, 265, 2399, 3645, 318, 13434, 584, 322, 633, 3799, 268, 272, 994, 258, 562, 815, 703, 9272, 15405, 258, 1820, 263, 2399, 3645, 318, 13434, 584, 322, 633, 3799, 11723, 258, 476, 271, 476, 272, 476, 272, 476, 273, 476, 274, 476, 276, 476, 279, 898, 7806, 643, 292, 1505, 454, 258, 1219, 905, 2548, 18153, 3799, 2187, 258, 8587, 952, 562, 2525, 271, 912, 258, 19930, 2132, 476, 271, 454, 258, 8587, 8640, 562, 2525, 272, 912, 258, 19930, 2132, 476, 272, 454, 258, 8587, 3116, 912, 258, 19930, 2132, 905, 2548, 18153, 3799, 268, 272, 11924, 10623, 2548, 18153, 3799, 268, 273, 994, 258, 562, 815, 703, 9272, 15405, 258, 1820, 6600, 324, 2548, 18153, 3799, 4917, 258, 1234, 15479, 633, 6396, 547, 5173, 3171, 2548, 18153, 19638, 692, 7531, 0, 258, 5727, 333, 815, 703, 9272, 15405, 258, 1592, 815, 1496, 333, 265, 257, 265, 31116, 258, 1820, 17338, 264, 12163, 258, 5727, 4289, 815, 22373, 3333, 889, 327, 14824, 338, 7534, 14824, 323, 8270, 14824, 321, 8270, 31116, 258, 1820, 17338, 314, 271, 8079, 12163, 258, 546, 545, 815, 2715, 272, 281, 257, 3333, 889, 5069, 2580, 273, 281, 257, 329, 3873, 2580, 274, 281, 257, 15711, 559, 257, 8679, 258, 1820, 5560, 545, 314, 272, 7481, 4067, 815, 834, 3333, 889, 5069, 4840, 2745, 6600, 257, 346, 4067, 348, 5602, 6112, 476, 272, 912, 825, 2012, 815, 476, 276, 454, 825, 952, 630, 4067, 281, 284, 276, 285, 277, 2187, 1038, 1820, 2891, 2254, 3020, 5602, 825, 3116, 912, 1038, 1820, 2891, 333, 5847, 5602, 825, 2736, 454, 3698, 1187, 5416, 14720, 22698, 267, 32551, 333, 1446, 2187, 825, 2132, 513, 17070, 265, 322, 454, 2745, 6600, 684, 263, 273, 267, 274, 267, 275, 2437, 10472, 15259, 834, 4297, 0, 258, 1592, 2649, 687, 454, 258, 1305, 8223, 454, 258, 11718, 8223, 454, 14030, 8587, 1948, 1592, 2649, 454, 258, 32102, 815, 1496, 328, 585, 1775, 538, 2039, 263, 1015, 267, 1911, 264, 952, 1775, 260, 1015, 2525, 271, 2639, 258, 1820, 10857, 560, 994, 258, 1305, 735, 1066, 5782, 542, 454, 258, 32102, 815, 346, 328, 585, 1775, 538, 2039, 263, 1015, 267, 1911, 264, 8679, 258, 1820, 10857, 560, 994, 258, 32102, 815, 314, 4067, 585, 2012, 538, 22373, 3333, 889, 5069, 14824, 3333, 889, 5069, 14824, 3333, 889, 5069, 14824, 338, 7534, 19312, 2639, 258, 1820, 10857, 560, 9239, 14030, 672, 1948, 1305, 735, 1066, 5782, 542, 454, 258, 32102, 815, 346, 4067, 585, 2012, 538, 22373, 3333, 889, 5069, 14824, 3333, 889, 5069, 14824, 3333, 889, 5069, 14824, 338, 7534, 19312, 8679, 258, 1820, 10857, 560, 9239, 258, 10571, 6831, 1712, 815, 2715, 328, 281, 325, 257, 323, 816, 346, 328, 348, 257, 585, 1775, 538, 2039, 263, 272, 267, 6200, 264, 8679, 258, 10571, 6831, 1712, 272, 815, 2715, 7407, 281, 4486, 585, 1883, 267, 7407, 538, 10571, 6831, 1712, 29096, 3890, 8679, 258, 1820, 5560, 816, 6831 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 2237, 513, 1982, 602, 14509, 513, 2990, 689, 519, 3593, 269, 2422, 606, 952, 3948, 547, 3313, 3097, 258, 604, 519, 6241, 5956, 609, 513, 3109, 4009, 610, 513, 3043, 4009, 269, 3973, 946, 22606, 454, 258, 541, 10379, 547, 1867, 519, 2681, 540, 519, 4009, 538, 602, 4737, 269, 1280, 1383, 267, 3097, 258, 604, 519, 3593, 13788, 513, 272, 1287, 707, 1982, 1058, 1867, 602, 519, 4009, 568, 3109, 269, 3097, 258, 2252, 519, 3593, 13788, 546, 276, 1287, 707, 1982, 1058, 1867, 602, 519, 4009, 568, 3043, 269, 3097, 258, 25284, 609, 1820, 606, 5470, 5048, 543, 14827, 952, 596, 3403, 2418, 602, 666, 1405, 581, 1031, 22322, 258, 27165, 3403, 3340, 513, 2230, 547, 1205, 1312, 2418, 3097, 258, 763, 3349, 649, 616, 1210, 782, 519, 1256, 5022, 536, 28504, 267, 325, 267, 327, 616, 3109, 10945, 3097, 258, 15290, 519, 1256, 2338, 616, 519, 13603, 609, 519, 1256, 4484, 454, 258, 763, 9642, 3349, 513, 22698, 267, 324, 267, 326, 616, 3109, 10945, 950, 519, 2338, 616, 9642, 3097, 258, 810, 546, 543, 1022, 1256, 1297, 476, 273, 267, 275, 267, 277, 267, 279, 786, 1267, 3109, 3097, 258, 323, 543, 9642, 1297, 786, 1267, 538, 3043, 8528, 4580, 28767, 815, 18358, 320, 12887, 321, 12887, 322, 12887, 323, 12887, 324, 12887, 325, 12887, 326, 12887, 327, 11172, 1948, 513, 1592, 540, 782, 4484, 2418, 3097, 16838, 318, 4580, 815, 18358, 321, 12887, 323, 12887, 325, 12887, 327, 11172, 1948, 519, 1256, 5022, 3097, 15957, 318, 4580, 815, 9131, 320, 12887, 322, 12887, 324, 12887, 326, 11172, 1948, 1492, 9642, 5022, 692, 258, 12528, 3403, 1871, 589, 6953, 543, 1871, 476, 272, 268, 279, 3097, 4580, 32284, 267, 4580, 22674, 815, 3403, 3488, 8923, 3403, 513, 4484, 513, 3620, 543, 513, 1297, 476, 272, 268, 279, 269, 10925, 513, 2230, 1063, 11378, 1412, 1040, 20889, 4590, 258, 3217, 547, 4632, 543, 3651, 338, 873, 1759, 593, 3755, 3403, 269, 14594, 1101, 982, 1297, 454, 258, 1810, 1405, 798, 513, 4484, 1101, 621, 786, 12235, 5470, 454, 12528, 318, 12072, 815, 1193, 29033, 32284, 264, 1948, 10472, 25001, 5470, 2014, 3168, 585, 513, 5569, 538, 519, 1101, 3403, 454, 12528, 19571, 815, 703, 29033, 22674, 264, 1948, 331, 8504, 585, 513, 1297, 1871, 538, 519, 2034, 3403, 8528, 3698, 2638, 518, 318, 4580, 263, 12528, 318, 12072, 267, 12528, 19571, 2567, 1948, 10818, 3217, 3593, 11378, 607, 8044, 906, 3097, 825, 1948, 604, 3948, 11974, 519, 9642, 4604, 1592, 547, 1294, 952, 3755, 3403, 568, 538, 602, 1592, 454, 825, 952, 4604, 32284, 538, 9642, 318, 4580, 912, 1038, 1948, 604, 1336, 982, 7575, 593, 547, 519, 1297, 267, 11974, 952, 1297, 18085, 581, 5258, 676, 476, 273, 3097, 1038, 952, 3593, 19571, 4939, 476, 273, 11203, 476, 271, 912, 2018, 1820, 29033, 32284, 266, 4580, 22674, 10086, 529, 513, 3109, 4009, 10807, 11434, 454, 1038, 3116, 281, 1948, 952, 519, 1297, 568, 8954, 1076, 676, 476, 273, 1287, 519, 4009, 786, 581, 3043, 3097, 2018, 1820, 29033, 32284, 266, 4580, 22674, 10086, 529, 3043, 4009, 5073, 825, 3116, 281, 1948, 1492, 3116, 568, 1934, 952, 519, 4484, 519, 3593, 11378, 568, 538, 711, 538, 519, 9642, 318, 4580, 3097, 1038, 952, 3593, 19571, 4939, 476, 273, 2652, 476, 271, 281, 1948, 1297, 568, 8954, 1076, 676, 476, 273, 1267, 3109, 454, 2018, 1820, 29033, 32284, 266, 4580, 22674, 10086, 529, 513, 3109, 4009, 30386, 1038, 3116, 281, 1948, 12828, 1267, 3043, 3097, 2018, 1820, 29033, 32284, 266, 4580, 22674, 10086, 529, 513, 3043, 4009, 17210, 692, 258, 604, 3948, 11974, 952, 519, 3593, 3403, 2418, 616, 538, 4604, 2418, 543, 1063, 476, 272, 268, 279, 3097, 258, 952, 711, 1820, 5470, 543, 14827, 454, 604, 3593, 318, 12072, 538, 4604, 28767, 912, 825, 952, 3593, 19571, 2999, 476, 272, 610, 3593, 19571, 3436, 476, 279, 912, 1038, 1820, 3488, 6546, 568, 711, 513, 4570, 1297, 256, 5073, 1038, 14827, 3097, 825, 3116, 912, 1038, 2638, 518, 318, 4580, 263, 12528, 318, 12072, 267, 12528, 19571, 994, 12828, 912, 825, 1820, 3488, 18823, 8091, 3403, 256, 5073, 825, 14827, 692, 0, 5814, 9041, 628, 1348, 607, 8142, 267, 4351, 5897, 785, 823, 318, 520, 783, 815, 476, 271, 672, 1948, 308, 2742, 1083, 5451, 767, 2518, 6446, 4196, 635, 334, 1368, 807, 16948, 524, 3385, 8142, 26453, 518, 11188, 593, 1372, 2097, 9809, 541, 14255, 3520, 320, 632, 28860, 522, 17022, 528, 5897, 3698, 12908, 541, 26371, 2803, 263, 573, 267, 5044, 267, 562, 8029, 825, 1247, 7003, 263, 6783, 264, 2999, 562, 6769, 1038, 4351, 19571, 815, 4351, 20120, 9792, 263, 271, 267, 476, 1911, 3418, 1038, 5044, 6910, 263, 12690, 19571, 3418, 1038, 1948, 2745, 19629, 333, 1320, 1348, 1496, 260, 338, 13912, 4939, 338, 257, 4939, 630, 573, 267, 5044, 4297, 11434, 1948, 306, 2925, 16948, 1387, 529, 541, 522, 17022, 528, 513, 851, 597, 632, 524, 3385, 4623, 25556, 546, 553, 16060, 5897, 3698, 28860, 318, 23439, 528, 263, 573, 267, 5044, 267, 1558, 1228, 8029, 825, 2518, 967, 823, 318, 520, 783, 1477, 825, 1247, 967, 823, 318, 520, 783, 2999, 1558, 1228, 6769, 1038, 18559, 815, 5044, 314, 785, 823, 318, 520, 783, 15947, 1038, 5044, 314, 785, 823, 318, 520, 783, 316, 815, 5044, 314, 6352, 263, 6783, 9984, 785, 823, 318, 520, 783, 268, 272, 15947, 1038, 5044, 314, 6352, 263, 6783, 9984, 785, 823, 318, 520, 783, 268, 272, 316, 815, 18559, 1477, 1038, 1948, 2745, 19629, 333, 1320, 1348, 1496, 260, 338, 13912, 1496, 260, 338, 316, 257, 4939, 630, 573, 267, 5044, 17903, 1038, 967, 823, 318, 520, 783, 6834, 476, 272, 24653, 3698, 1292, 28399, 825, 5044, 815, 1496, 15947, 825, 23984, 24512, 815, 703, 9272, 19629, 333, 14707, 924, 522, 512, 16120, 14833, 798, 17022, 528, 24097, 271, 8442, 3418, 825, 1003, 318, 628, 1348, 338, 815, 703, 9272, 19629, 333, 14707, 924, 522, 1003, 3266, 632, 16060, 24097, 271, 8442, 10142, 825, 733, 320, 318, 628, 1348, 815, 476, 271, 1477, 825, 1247, 7003, 263, 6783, 264, 2999, 23984, 24512, 6769, 1038, 1247, 733, 320, 318, 628, 1348, 2999, 1003, 318, 628, 1348, 338, 6769, 2018, 8142, 269, 11034, 318, 2908, 318, 628, 1348, 263, 3455, 541, 26371, 2803, 267, 630, 935, 3279, 318, 628, 1348, 266, 272, 267, 5044, 267, 23984, 24512, 4297, 567, 1948, 2750, 1815, 25917, 513, 1187, 23843, 513, 851, 597, 13005, 12190, 1774, 8619, 9041, 628, 1348, 1477, 2018, 733, 320, 318, 628, 1348, 23785, 272, 5897, 825, 1820, 19629, 333, 22209, 2784, 320, 281, 834, 266, 1598, 263, 6783, 264, 10142, 825, 1558, 1228, 24512, 815, 7003, 263, 6783, 264, 12262, 476, 273, 4449, 8587, 1948, 306, 6759, 20527, 2122, 5451, 26369, 28860, 693, 2946, 1558, 1228, 798, 17022, 528, 1477, 825, 733, 320, 318, 628, 1348, 815, 476, 271, 1477, 825, 1247, 967, 823, 318, 520, 783, 2999, 1558, 1228, 24512, 6769, 1038, 1247, 733, 320, 318, 628, 1348, 2999, 1003, 318, 628, 1348, 338, 6769, 2018, 8142, 269, 11034, 318, 2908, 318, 628, 1348, 263, 514, 591, 614, 318, 23439, 528, 267, 630, 935, 3279, 318, 628, 1348, 266, 272, 267, 5044, 267, 1558, 1228, 24512, 17903, 2018, 733, 320, 318, 628, 1348, 6834, 476, 272, 1477, 825, 1820, 19629, 333, 306, 4660, 320, 281, 834, 266, 1598, 263, 6783, 17903, 10852, 14052, 0, 454, 258, 815, 25275, 23751, 258, 4563, 329, 871, 5590, 1575, 454, 258, 815, 25275, 284, 692, 258, 3487, 540, 13838, 543, 3252, 1888, 692, 258, 1284, 786, 960, 609, 28184, 5793, 547, 3009, 513, 2241, 3556, 3014, 454, 258, 1284, 786, 849, 2263, 811, 593, 3252, 543, 1294, 1946, 703, 749, 6359, 29808, 827, 9328, 12976, 630, 6748, 1482, 2012, 994, 258, 4632, 538, 9018, 9165, 454, 258, 901, 3014, 786, 948, 721, 1413, 693, 713, 538, 811, 1469, 692, 258, 4563, 329, 871, 568, 513, 2241, 3556, 3014, 269, 634, 2832, 568, 547, 1205, 513, 2362, 6060, 982, 519, 31066, 454, 258, 855, 1510, 2469, 1657, 513, 6060, 540, 476, 2641, 563, 258, 1403, 519, 2698, 1297, 540, 6486, 538, 513, 1688, 2501, 547, 811, 982, 476, 2641, 267, 519, 6345, 568, 1767, 547, 723, 11861, 539, 267, 8754, 3014, 936, 780, 258, 1284, 786, 723, 519, 1739, 2175, 538, 938, 4528, 540, 3109, 329, 871, 1384, 258, 634, 31066, 9388, 835, 3556, 547, 1142, 6345, 543, 547, 5128, 563, 258, 3962, 6345, 855, 711, 519, 31066, 4991, 513, 2034, 3556, 454, 258, 634, 6345, 1287, 16976, 2436, 547, 6529, 609, 519, 2698, 789, 723, 610, 834, 327, 527, 257, 630, 26074, 547, 1205, 1776, 3556, 994, 258, 634, 6345, 666, 5734, 607, 1454, 607, 789, 899, 855, 952, 741, 2698, 568, 811, 982, 476, 2641, 267, 789, 616, 11861, 454, 258, 634, 6486, 602, 519, 6345, 6585, 950, 789, 9096, 568, 1572, 741, 834, 8518, 4840, 258, 4495, 782, 5716, 616, 834, 560, 3089, 257, 630, 7224, 1007, 6486, 264, 610, 834, 321, 755, 2580, 519, 31066, 4991, 513, 2034, 3556, 543, 31066, 1287, 16976, 2436, 547, 6529, 610, 5734, 563, 258, 1403, 31066, 4422, 936, 476, 2641, 267, 789, 11861, 543, 519, 6345, 602, 568, 711, 11861, 17993, 454, 258, 10691, 292, 602, 519, 31066, 3112, 6529, 593, 1447, 982, 476, 1704, 1775, 4318, 269, 646, 814, 547, 1205, 513, 3556, 952, 646, 814, 1447, 982, 476, 1704, 454, 258, 634, 31066, 849, 1590, 6529, 952, 789, 723, 476, 1704, 610, 811, 269, 1775, 4318, 269, 789, 3112, 1491, 1776, 3556, 547, 979, 6251, 547, 476, 2641, 2676, 258, 26761, 4249, 1996, 31066, 269, 1656, 945, 1197, 814, 5207, 5207, 1297, 855, 2630, 476, 2641, 17993, 563, 258, 1403, 519, 31066, 543, 6345, 723, 1482, 1297, 267, 789, 616, 2721, 454, 258, 1703, 616, 476, 1724, 6486, 538, 1142, 540, 476, 275, 17015, 1818, 513, 2698, 540, 476, 7367, 6486, 538, 519, 3640, 454, 258, 3689, 476, 1015, 6486, 616, 476, 272, 547, 476, 1015, 267, 1287, 1614, 3068, 11568, 1572, 10793, 267, 3751, 543, 10348, 630, 26421, 609, 1871, 476, 1015, 994, 258, 634, 17015, 616, 1572, 9839, 338, 267, 18924, 4637, 267, 11833, 338, 543, 838, 3547, 454, 258, 634, 589, 576, 9315, 666, 723, 1871, 540, 476, 272, 610, 476, 1556, 543, 519, 6345, 16976, 799, 1871, 789, 1058, 1491, 692, 258, 1411, 666, 2070, 543, 4647, 519, 6486, 1934, 454, 258, 5291, 2517, 12364, 326, 2275, 1841, 4732, 1830, 1721, 613, 14492, 270, 3436, 8281, 25789, 294, 21998, 454, 258, 634, 2592, 616, 538, 25789, 294, 267, 865, 594, 1185, 547, 6460, 873, 547, 834, 335, 978, 257, 543, 2322, 873, 896, 17835, 834, 11568, 335, 978, 4840, 258, 13242, 713, 3135, 585, 14291, 689, 25789, 294, 547, 623, 7582, 281, 5291, 2517, 12364, 326, 9008, 978, 2593, 13045, 258, 8081, 585, 533, 978, 6119, 729, 3773, 547, 28184, 5793, 4528, 476, 279, 269, 277, 269, 1924, 952, 596, 616, 1210, 4505, 4528, 267, 946, 28327, 3239, 6119, 454, 258, 1284, 666, 946, 533, 978, 6119, 2094, 938, 4528, 568, 476, 279, 269, 277, 630, 5408, 875, 547, 2638, 4528, 2630, 994, 258, 1809, 594, 6836, 547, 4647, 5767, 4528, 267, 543, 621, 729, 1114, 689, 21541, 518, 267, 865, 594, 1031, 25789, 294, 2275, 731, 268, 272, 269, 271, 454, 258, 2991, 25935, 519, 6486, 267, 789, 616, 538, 513, 17835, 3957, 834, 12364, 326, 2580, 649, 556, 4067, 602, 17835, 834, 11568, 257, 547, 6474, 26519, 3381, 454, 258, 769, 1250, 2013, 267, 594, 1185, 547, 6460, 873, 547, 623, 7582, 543, 2322, 538, 17835, 3957, 834, 11568, 335, 978, 4840, 258, 3973, 649, 5299, 602, 17835, 834, 11568, 335, 978, 257, 543, 2322, 621, 538, 17835, 834, 3953, 318, 14937, 329, 871, 4840, 258, 543, 596, 786, 1294, 834, 11568, 335, 978, 257, 1402, 909, 593, 519, 2451, 2427, 540, 713, 5496, 896, 834, 3953, 318, 14937, 329, 871, 257, 17835, 692, 258, 1284, 849, 1104, 4351, 9074, 1317, 6486, 786, 581, 8655, 538, 4351, 692, 5814, 4351, 692, 258, 3973, 1104, 28184, 5793, 692, 339, 787, 912, 825, 1104, 28184, 5793, 454, 21955, 7383, 13286, 281, 476, 1948, 5124, 476, 273, 454, 825, 1104, 570, 330, 5793, 607, 28184, 5793, 692, 2745, 6025, 330, 5793, 11053, 330, 309, 619, 542, 264, 476, 1948, 1215, 547, 2638, 28184, 5793, 4528, 269, 769, 938, 2013, 267 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 476, 1428, 543, 26444, 4848, 11434, 1239, 314, 274, 316, 1341, 1239, 314, 275, 316, 1341, 1239, 314, 276, 316, 2652, 476, 1428, 543, 26444, 4848, 11434, 1239, 314, 277, 316, 1341, 1239, 314, 278, 316, 1341, 1239, 314, 279, 316, 2652, 476, 1428, 543, 26444, 4848, 11434, 1239, 314, 271, 316, 1341, 1239, 314, 274, 316, 1341, 1239, 314, 277, 316, 2652, 476, 1428, 543, 26444, 4848, 11434, 1239, 314, 272, 316, 1341, 1239, 314, 275, 316, 1341, 1239, 314, 278, 316, 2652, 476, 1428, 543, 26444, 4848, 11434, 1239, 314, 273, 316, 1341, 1239, 314, 276, 316, 1341, 1239, 314, 279, 316, 2652, 476, 1428, 543, 26444, 4848, 11434, 1239, 314, 271, 316, 1341, 1239, 314, 275, 316, 1341, 1239, 314, 279, 316, 2652, 476, 1428, 543, 26444, 4848, 11434, 1239, 314, 273, 316, 1341, 1239, 314, 275, 316, 1341, 1239, 314, 277, 316, 2652, 476, 1428, 692, 453, 992, 267, 897, 815, 7003, 14116, 5090, 1070, 7003, 14116, 5090, 314, 271, 7481, 453, 12248, 815, 476, 271, 454, 22610, 1775, 538, 2039, 21405, 910, 476, 273, 2187, 453, 22610, 795, 538, 2039, 263, 3712, 910, 476, 273, 2187, 4848, 14851, 7470, 5157, 1341, 476, 272, 6012, 329, 1341, 476, 272, 316, 11203, 476, 276, 912, 15235, 453, 11666, 826, 454, 4848, 453, 753, 815, 7470, 5157, 6012, 329, 281, 329, 1341, 476, 274, 2639, 4848, 453, 753, 269, 2169, 754, 14116, 5090, 5157, 1341, 476, 272, 6012, 329, 281, 329, 1341, 476, 274, 7481, 4848, 453, 753, 269, 2169, 754, 14116, 5090, 5157, 1341, 476, 273, 6012, 329, 281, 329, 1341, 476, 274, 7481, 4848, 14851, 25961, 263, 753, 2187, 15235, 453, 12248, 6834, 476, 272, 454, 16596, 1293, 7531, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 453, 6358, 815, 20886, 272, 267, 476, 279, 267, 476, 277, 3910, 1496, 1015, 267, 476, 276, 267, 476, 271, 3910, 1496, 275, 267, 476, 273, 267, 476, 280, 27663, 453, 14310, 815, 1003, 300, 20723, 306, 638, 4100, 11900, 728, 9272, 994, 13537, 31114, 994, 0, 18411, 14756, 503, 27936, 22047, 23523, 359, 27064, 363, 12255, 14756, 482, 27818, 31006, 12571, 492, 22047, 30317, 27381, 510, 7511, 31284, 22047, 30317, 27381, 510, 15159, 12255, 14756, 482, 7511, 21588, 361, 22047, 30317, 27381, 510, 24724, 8147, 27447, 24731, 30006, 493, 14748, 30317, 27381, 510, 7511, 31284, 22047, 418, 505, 368, 27962, 30317, 27381, 510, 12486, 12255, 21211, 1535, 476, 7511, 31284, 22047, 418, 505, 368, 27962, 7511, 30317, 27381, 510, 15159, 418, 490, 487, 12255, 14756, 482, 421, 479, 491, 31308, 484, 421, 350, 374, 31365, 8147, 30244, 14748, 12255, 21211, 18263, 489, 12571, 492, 7511, 21588, 361, 22047, 30006, 498, 14395, 481, 418, 505, 368, 27962, 7511, 12255, 8147, 30244, 418, 482, 493, 417, 495, 367, 419, 507, 478, 12916, 510, 18021, 498, 13644, 354, 23523, 359, 27064, 363, 17295, 364, 418, 494, 506, 27381, 351, 14395, 481, 7511, 31284, 22047, 418, 505, 368, 27962, 7511, 12255, 12486, 417, 28187, 31563, 21251, 11858, 502, 21928, 8147, 10254, 503, 27447, 24731, 910, 272, 12486, 692, 419, 353, 374, 28032, 489, 476, 272, 1384, 27447, 24662, 281, 1496, 272, 267, 273, 267, 272, 2639, 27447, 24731, 281, 1496, 273, 16427, 272, 267, 273, 2639, 25335, 352, 19404, 488, 281, 476, 21588, 361, 22047, 476, 272, 476, 7511, 31284, 22047, 418, 505, 368, 27962, 7511, 12255, 15159, 476, 273, 5405, 505, 454, 12255, 21211, 476, 273, 17276, 487, 378, 21251, 28996, 31284, 22047, 418, 505, 368, 27962, 7511, 12255, 5405, 505, 454, 21588, 361, 11590, 490, 14748, 476, 272, 476, 7511, 31284, 22047, 31006, 27962, 7511, 12255, 421, 506, 478, 28884, 23523, 359, 27064, 363, 418, 494, 506, 27381, 351, 8147, 14756, 497, 31563, 18263, 509, 15159, 476, 273, 25707, 21796, 357, 418, 482, 493, 281, 476, 27447, 24662, 12255, 14756, 482, 7511, 421, 499, 379, 18021, 355, 21251, 25263, 504, 420, 370, 483, 13213, 485, 476, 1911, 876, 25707, 18411, 5228, 17511, 1104, 5903, 7531, 5035, 8827, 912, 825, 1219, 1985, 15124, 518, 292, 6123, 4311, 267, 15358, 281, 5903, 27776, 8079, 9847, 5903, 27776, 14158, 1038, 10518, 815, 11713, 1038, 7003, 318, 815, 7003, 25225, 994, 1038, 759, 815, 30585, 272, 316, 2608, 7003, 29390, 1038, 585, 1775, 538, 2039, 12759, 318, 1341, 7003, 318, 2187, 2018, 1775, 4939, 284, 7003, 29390, 2018, 1003, 815, 15358, 5157, 2639, 2018, 1247, 10518, 543, 1003, 3436, 10518, 15631, 272, 6012, 268, 272, 14158, 3546, 952, 759, 314, 23637, 15631, 272, 6012, 271, 14963, 2652, 910, 272, 912, 7386, 759, 314, 23637, 15631, 272, 6012, 271, 14963, 815, 1003, 454, 3546, 10518, 21014, 4590, 2018, 10518, 6910, 9230, 328, 267, 1003, 4917, 1038, 2132, 759, 7531, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 15358, 815, 1496, 276, 267, 476, 275, 267, 476, 274, 267, 476, 273, 267, 476, 272, 2639, 825, 1151, 815, 8827, 4590, 825, 1820, 4433, 565, 12785, 15124, 518, 292, 6123, 25225, 4917, 0, 12163, 14756, 503, 27936, 4970, 353, 14748, 10533, 368, 12255, 562, 13127, 23687, 737, 8147, 13213, 498, 18713, 508, 476, 272, 3267, 562, 476, 18809, 19867, 478, 20069, 23746, 420, 25693, 7511, 737, 476, 14748, 12255, 7511, 14756, 482, 12571, 486, 12486, 692, 419, 353, 374, 28032, 489, 1384, 27447, 24662, 281, 1109, 333, 815, 476, 275, 267, 737, 815, 476, 273, 454, 27447, 24731, 912, 314, 454, 476, 1496, 273, 267, 275, 16689, 476, 1496, 274, 267, 275, 16689, 476, 1496, 273, 267, 274, 16689, 476, 1496, 272, 267, 273, 16689, 476, 1496, 272, 267, 274, 16689, 476, 1496, 272, 267, 275, 16689, 2639, 12163, 5228, 17511, 1104, 5903, 692, 5035, 8827, 912, 825, 1219, 9192, 4311, 267, 562, 281, 703, 267, 737, 281, 703, 264, 9847, 5903, 314, 8266, 27776, 316, 14158, 1038, 759, 815, 29129, 1038, 1219, 25961, 263, 3650, 284, 272, 267, 28364, 17342, 316, 2187, 2018, 952, 7003, 263, 2017, 337, 264, 2652, 737, 912, 3546, 759, 6910, 263, 2017, 337, 11468, 7481, 3546, 2132, 476, 1948, 13127, 487, 359, 22909, 507, 454, 2018, 585, 1775, 538, 2039, 263, 3650, 267, 562, 1341, 476, 272, 2187, 3546, 28364, 6910, 9217, 994, 3546, 25961, 9217, 1341, 476, 272, 267, 28364, 994, 3546, 28364, 21014, 10797, 1038, 25961, 4590, 1038, 2132, 759, 7531, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 562, 815, 476, 275, 454, 825, 737, 815, 476, 273, 454, 825, 1151, 815, 8827, 4590, 825, 1267, 815, 1151, 2593, 321, 710, 3799, 267, 737, 994, 825, 1820, 31114, 994, 0, 5228, 17511, 1104, 5903, 7531, 5035, 8827, 912, 825, 1219, 1265, 3725, 701, 520, 10831, 4311, 267, 15358, 281, 5903, 27776, 8079, 9847, 703, 912, 1038, 1293, 318, 815, 1305, 4590, 1038, 585, 1003, 538, 15358, 912, 2018, 952, 1003, 538, 1293, 318, 912, 3546, 2132, 1003, 454, 2018, 1293, 318, 269, 5417, 16325, 994, 0, 18411, 14756, 503, 27936, 4970, 353, 14748, 13200, 365, 16533, 493, 19540, 503, 21211, 30006, 491, 22909, 482, 29873, 7511, 21211, 31033, 4970, 366, 1109, 288, 1109, 25520, 1109, 289, 1109, 8147, 9463, 359, 28884, 16043, 495, 10524, 361, 23746, 23284, 20881, 504, 13213, 485, 11590, 353, 29004, 351, 589, 476, 18809, 7511, 4970, 353, 14748, 21211, 30006, 491, 23523, 501, 28996, 4970, 492, 645, 22614, 505, 372, 419, 511, 487, 7511, 14756, 497, 31563, 8147, 16533, 365, 13213, 498, 18713, 508, 1109, 25152, 1109, 5405, 505, 12571, 355, 10254, 503, 13213, 498, 18713, 508, 7301, 476, 12486, 692, 11590, 353, 29004, 351, 21211, 30006, 491, 7511, 27936, 18263, 487, 15159, 9463, 500, 4970, 353, 14748, 31284, 21550, 485, 1775, 13127, 23687, 795, 5236, 376, 486, 31284, 21550, 485, 10524, 492, 476, 271, 13127, 376, 478, 417, 356, 489, 24724, 8147, 9463, 359, 28884, 1775, 256, 284, 329, 13127, 364, 365, 11590, 353, 29004, 351, 589, 5157, 316, 13127, 23687, 589, 14728, 316, 13127, 353, 482, 7511, 21211, 31033, 12486, 28032, 489, 417, 28187, 8147, 21928, 834, 629, 7251, 257, 476, 18809, 11590, 353, 29004, 351, 31284, 21550, 485, 476, 271, 13127, 23687, 31284, 21550, 485, 476, 273, 476, 7511, 30317, 27381, 510, 23746, 23284, 13200, 509, 29873, 834, 322, 21112, 257, 476, 12486, 692, 24372, 419, 353, 374, 28032, 489, 476, 272, 16088, 692, 27447, 24662, 16088, 589, 815, 834, 629, 2580, 645, 815, 834, 9346, 4840, 27447, 24731, 16088, 3020, 454, 25335, 352, 19404, 488, 16088, 476, 12916, 510, 23746, 23284, 11590, 353, 29004, 351, 589, 314, 271, 316, 815, 1412, 320, 262, 13127, 23687, 589, 314, 272, 316, 815, 1412, 321, 262, 476, 13200, 509, 29873, 834, 9346, 257, 8147, 27882, 353, 28793, 589, 13127, 23687, 645, 22614, 505, 372, 419, 511, 487, 25707, 419, 353, 374, 28032, 489, 476, 273, 16088, 692, 27447, 24662, 16088, 589, 815, 834, 629, 2580, 645, 815, 834, 629, 4840, 27447, 24731, 16088, 7301, 454, 25335, 352, 19404, 488, 16088, 476, 12916, 510, 9463, 359, 420, 25693, 11590, 353, 29004, 351, 589, 314, 271, 316, 815, 1412, 320, 262, 13127, 23687, 589, 314, 272, 316, 815, 1412, 321, 262, 476, 13200, 509, 29873, 834, 9346, 257, 8147, 27882, 353, 28793, 589, 13127, 23687, 645, 476, 21251, 25203, 372, 419, 511, 487, 25707, 419, 353, 374, 28032, 489, 476, 274, 1384, 27447, 24662, 16088, 589, 815, 834, 12711, 2580, 645, 815, 834, 12711, 4840, 27447, 24731, 16088, 3020, 454, 25335, 352, 19404, 488, 16088, 476, 12916, 510, 23746, 23284, 11590, 353, 29004, 351, 589, 314, 271, 316, 815, 1412, 320, 262, 13127, 23687, 589, 314, 272, 316, 815, 1412, 320, 262, 476, 13200, 509, 29873, 834, 12711, 257, 8147, 27882, 353, 28793, 589, 13127, 23687, 645, 22614, 505, 372, 419, 511, 487, 25707, 419, 353, 374, 28032, 489, 476, 275, 16088, 692, 27447, 24662, 16088, 589, 815, 834, 12711, 12711, 12711, 29582, 2580, 645, 815, 834, 12711, 12711, 12711, 659, 321, 4840, 27447, 24731, 16088, 3020, 454, 419, 353, 374, 28032, 489, 476, 276, 16088, 692, 27447, 24662, 16088, 589, 815, 834, 2580, 645, 815, 834, 12711, 4840, 27447, 24731, 16088, 7301, 454, 24372, 418, 493, 494, 419, 353, 374, 16088, 692, 271, 10922, 589, 32324, 10922, 476, 1220, 876, 454, 271, 10922, 645, 32324, 10922, 476, 1220, 876, 454, 288, 1109, 25520, 1109, 289, 1109, 10524, 483, 13200, 365, 16533, 493, 19540, 503, 21211, 30006, 491, 22909, 482, 29873, 25707, 18411, 5228, 10070, 1104, 22388, 7531, 5035, 8827, 912, 825, 1219, 14609, 344, 18360, 902, 4311, 267, 589, 281, 1193, 267, 645, 281, 1193, 264, 9847, 536, 944, 912, 1038, 7003, 19963, 267, 7003, 10734, 815, 7003, 10490, 1070, 7003, 16360, 994, 1038, 952, 7003, 19963, 11203, 7003, 10734, 912, 2018, 2132, 8771, 454, 1038, 952, 589, 2652, 645, 912, 2018, 1293, 815, 22388, 10490, 994, 2018, 585, 642, 538, 1293, 269, 11161, 10031, 3546, 952, 642, 3436, 476, 272, 912, 7386, 2132, 6936, 454, 2018, 2132, 8771, 454, 1038, 3116, 912, 2018, 1101, 267, 2034, 815, 910, 272, 267, 910, 272, 454, 2018, 585, 1775, 538, 2039, 12759, 19963, 2187, 3546, 952, 589, 5157, 316, 11203, 645, 5157, 14158, 7386, 952, 1101, 2652, 910, 272, 912, 13376, 1101, 815, 1775, 454, 7386, 8640, 2034, 2652, 910, 272, 912, 13376, 2034, 815, 1775, 454, 7386, 3116, 912, 13376, 2132, 8771, 454, 1038, 2132, 2034, 11203, 910, 272, 543, 589, 314, 14140, 316, 2652, 645, 314, 16149, 316, 543, 589, 314, 16149, 316, 2652, 645, 314, 14140, 6540, 454, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 589, 815, 834, 629, 4840, 825, 645, 815, 834, 9346, 4840, 825, 1151, 815, 8827, 4590, 825, 1820, 4433, 565, 12500, 28854, 18360, 902, 10490, 267, 645, 4917 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 563, 5629, 596, 1174, 875, 547, 3927, 946, 1138, 3796, 267, 23199, 267, 5409, 321, 1961, 267, 1268, 2305, 267, 543, 13513, 267, 596, 666, 1711, 12667, 2592, 267, 11168, 1271, 2798, 267, 543, 1305, 519, 3159, 585, 707, 1650, 563, 3086, 602, 596, 917, 875, 547, 1039, 1434, 27461, 1893, 585, 3594, 267, 1810, 1405, 19292, 547, 946, 873, 538, 707, 1985, 1557, 1603, 7084, 2443, 596, 949, 581, 14281, 676, 875, 11495, 543, 9159, 707, 1557, 2501, 856, 563, 4263, 19536, 3131, 28914, 267, 649, 723, 4274, 5830, 945, 616, 3222, 540, 1114, 5339, 3457, 971, 607, 27461, 1893, 543, 917, 875, 547, 946, 873, 547, 3217, 3594, 547, 519, 1985, 1377, 563, 1432, 779, 811, 267, 6306, 689, 1603, 3594, 689, 15072, 267, 649, 849, 1683, 11049, 543, 6169, 15105, 2533, 543, 2285, 707, 3594, 602, 3803, 18138, 5905, 602, 666, 948, 596, 1205, 519, 9344, 596, 7287, 269, 0, 24993, 281, 4239, 476, 1428, 267, 476, 1708, 272, 454, 12441, 596, 917, 602, 5111, 476, 272, 538, 1169, 476, 275, 2021, 5001, 786, 1020, 6089, 2860, 286, 2334, 781, 513, 31417, 1297, 269, 5239, 568, 23213, 9435, 17607, 13600, 267, 865, 1577, 781, 2333, 938, 4656, 267, 4927, 649, 286, 20330, 12441, 596, 917, 7498, 763, 1981, 540, 3384, 6089, 2860, 4679, 609, 2085, 282, 476, 273, 540, 476, 274, 12362, 6089, 2860, 21904, 616, 1336, 538, 2021, 2085, 476, 4649, 610, 4587, 454, 276, 268, 1015, 260, 540, 6089, 2860, 2665, 616, 2219, 547, 581, 22420, 4534, 2348, 835, 1101, 24266, 3448, 609, 6089, 2860, 949, 5595, 513, 4807, 781, 1981, 282, 2348, 476, 273, 1101, 24266, 14077, 4679, 1200, 1981, 676, 476, 274, 24670, 454, 18131, 945, 3323, 14108, 908, 2038, 630, 29592, 2085, 476, 1321, 264, 543, 5924, 4682, 998, 22797, 2663, 630, 12898, 2085, 476, 4649, 264, 723, 513, 5594, 2362, 1981, 540, 3384, 6089, 2860, 454, 18131, 945, 723, 1100, 1453, 610, 945, 1185, 741, 1101, 1126, 1310, 519, 2085, 540, 476, 1789, 723, 513, 5594, 2362, 1981, 723, 513, 5594, 2362, 1981, 2949, 454, 16352, 1082, 26691, 543, 5924, 4742, 9176, 693, 513, 1762, 2085, 6971, 519, 1981, 2949, 454, 17954, 770, 16567, 267, 2523, 585, 811, 982, 513, 1032, 267, 666, 2539, 707, 1981, 454, 8794, 5916, 9449, 3797, 1310, 22797, 4679, 519, 1981, 540, 1312, 3384, 6089, 2860, 543, 12955, 689, 621, 454, 18131, 945, 8532, 476, 273, 268, 274, 23931, 10425, 3232, 723, 513, 476, 736, 260, 2362, 1981, 982, 2021, 945, 1810, 1405, 4235, 4568, 454, 16352, 811, 9761, 5160, 610, 606, 14968, 19483, 630, 1839, 610, 2362, 1070, 2523, 1310, 22797, 267, 666, 2333, 519, 1981, 676, 9870, 21110, 2157, 454, 9989, 5253, 17460, 888, 257, 2252, 519, 1152, 1689, 1004, 1500, 729, 547, 3548, 693, 2547, 476, 276, 32122, 540, 5613, 543, 5388, 1142, 1554, 267, 2860, 3928, 1131, 6749, 676, 693, 2547, 476, 736, 260, 1701, 910, 13563, 4659, 585, 9435, 3194, 454, 291, 2884, 568, 2808, 3743, 267, 538, 851, 267, 585, 827, 476, 1789, 268, 2412, 260, 540, 782, 11871, 269, 769, 25691, 814, 1044, 4448, 547, 519, 1646, 540, 782, 11871, 267, 865, 621, 2306, 2631, 547, 9772, 606, 4550, 13611, 2732, 585, 6099, 1072, 543, 2860, 6604, 269, 2755, 972, 568, 1100, 2582, 1426, 602, 666, 2061, 2860, 267, 1934, 616, 930, 1919, 547, 1832, 538, 2247, 609, 14621, 547, 6484, 912, 288, 574, 547, 8532, 476, 1015, 7674, 540, 5613, 543, 5388, 1169, 1554, 454, 8256, 2541, 3536, 1164, 538, 15060, 268, 274, 781, 630, 16341, 1382, 2090, 723, 3254, 602, 10438, 3165, 3282, 666, 3500, 519, 2208, 540, 2860, 12970, 994, 22879, 15060, 268, 277, 781, 282, 789, 666, 17297, 4733, 519, 2208, 540, 12970, 454, 8256, 2541, 5214, 950, 2009, 630, 335, 4382, 728, 6954, 3132, 267, 9449, 6954, 16469, 1040, 2755, 1100, 2090, 1397, 513, 17046, 9756, 1063, 23561, 4598, 543, 2799, 1981, 540, 6089, 2860, 267, 649, 991, 547, 581, 21713, 827, 1018, 891, 6464, 1223, 7654, 581, 3257, 547, 938, 4703, 563, 8256, 2541, 3536, 1164, 538, 6171, 667, 630, 869, 6171, 667, 2157, 723, 1044, 5532, 547, 2799, 1981, 994, 22879, 1134, 1673, 821, 5779, 630, 1492, 28555, 543, 3476, 5779, 29397, 267, 31125, 2026, 1106, 269, 476, 1704, 670, 7563, 781, 723, 1044, 5532, 547, 2799, 2860, 1981, 5148, 10123, 267, 13698, 295, 781, 1106, 538, 8673, 3812, 950, 3170, 17236, 610, 5671, 1186, 593, 3905, 1989, 650, 1071, 1023, 269, 13698, 295, 781, 723, 1044, 5532, 547, 6089, 2860, 563, 7804, 1074, 476, 3445, 268, 6344, 12063, 540, 1216, 1142, 1554, 454, 21841, 25988, 338, 547, 4339, 543, 2061, 2860, 281, 13212, 267, 19146, 15606, 267, 30207, 267, 22282, 267, 3039, 270, 1042, 22648, 267, 25989, 267, 2458, 731, 16719, 267, 1490, 639, 1088, 28667, 267, 28471, 31884, 267, 22850, 7236, 267, 17436, 267, 10027, 1845, 267, 22623, 11241, 267, 4453, 338, 267, 18812, 26258, 267, 18683, 267, 10808, 630, 525, 335, 9267, 22756, 1070, 13099, 11535, 267, 17228, 267, 6653, 12277, 267, 678, 5684, 11241, 267, 32420, 267, 14274, 267, 2490, 2354, 454, 21841, 14546, 547, 4339, 543, 2061, 2860, 281, 30485, 267, 13342, 267, 524, 599, 26413, 267, 3039, 7401, 267, 7626, 1146, 334, 267, 29018, 267, 9782, 4424, 454, 3674, 11644, 26419, 2334, 12830, 888, 8133, 256, 5530, 1310, 1353, 814, 3254, 602, 2168, 2534, 666, 3648, 6175, 519, 1981, 540, 3384, 2860, 269, 634, 1977, 9435, 5980, 15565, 519, 1739, 912, 520, 2547, 476, 5611, 3764, 540, 9793, 8515, 630, 528, 476, 4037, 3764, 540, 24526, 264, 28491, 637, 21732, 3635, 829, 3018, 454, 3916, 527, 25161, 2623, 630, 338, 9231, 538, 4395, 540, 2780, 610, 7641, 264, 607, 1454, 607, 2009, 454, 2467, 616, 1896, 6436, 607, 547, 1946, 713, 568, 3020, 282, 609, 14621, 547, 6089, 2860, 267, 3635, 568, 4448, 547, 513, 6175, 538, 8377, 630, 984, 7295, 568, 2047, 5532, 547, 2799, 2860, 3928, 1070, 513, 8902, 7939, 540, 21110, 543, 1322, 6856, 821, 267, 543, 513, 6175, 538, 6553, 563, 2690, 2550, 4867, 18460, 2860, 2126, 267, 3635, 814, 9846, 3254, 9283, 538, 2860, 5829, 9854, 267, 1560, 2597, 543, 5888, 267, 4887, 4222, 543, 16608, 267, 4761, 1599, 267, 543, 9025, 8516, 269, 1280, 2860, 2550, 267, 3635, 949, 13468, 2589, 689, 2860, 5574, 630, 6247, 11692, 267, 2790, 543, 2168, 9854, 267, 4965, 267, 4887, 1928, 267, 20026, 267, 543, 3668, 540, 14031, 1040, 3807, 3314, 547, 1376, 7444, 543, 979, 693, 707, 1378, 10605, 267, 798, 1945, 596, 2648, 267, 6432, 547, 707, 1560, 267, 543, 2638, 609, 707, 4387, 563, 4407, 6484, 543, 3635, 616, 1271, 267, 519, 17834, 4306, 1271, 1919, 596, 666, 798, 585, 6604, 616, 707, 5993, 7882, 6945, 543, 10992, 707, 1378, 28244, 269, 18461, 707, 6089, 543, 818, 5404, 527, 10865, 630, 520, 2547, 264, 585, 1022, 17244, 4534, 3314, 547, 2638, 909, 547, 707, 27897, 14752, 543, 8405, 269, 1403, 1945, 7959, 1055, 267, 1810, 1405, 7227, 256, 3414, 2038, 7020, 267, 519, 11841, 540, 9019, 3648, 11081, 1862, 5503, 568, 540, 519, 9759, 2336, 2080, 616, 513, 1906, 5363, 4950, 2200, 912, 4692, 1356, 14492, 281, 513, 3126, 540, 1246, 5346, 4808, 5059, 593, 6089, 543, 897, 28030, 2860, 454, 16908, 2991, 9435, 5516, 281, 11022, 18722, 781, 9435, 4741, 3896, 8638, 1246, 5346, 4808, 585, 476, 1428, 1114, 2860, 2010, 630, 28781, 593, 834, 10287, 268, 10000, 6481, 5516, 4840, 4692, 1356, 5516, 281, 2488, 15146, 543, 2228, 13508, 267, 1489, 2516, 267, 2069, 267, 2883, 543, 1071, 1790, 599, 618, 6351, 282, 782, 2533, 616, 1863, 540, 5279, 8940, 269, 4754, 1356, 3249, 3820, 454, 297, 712, 2284, 28644, 281, 3460, 3453, 3820, 454, 299, 11597, 3994, 5516, 4643, 281, 8940, 7456, 11597, 3994, 3249, 17839, 3820, 454, 4692, 1356, 16593, 8416, 281, 8940, 269, 4754, 1356, 7749, 523, 564, 1740, 3820, 454, 8722, 601, 585, 561, 7927, 267, 4688, 707, 27894, 267, 1250, 2828, 563, 265, 5472, 1344, 543, 5013, 1657, 941, 689, 634, 1977, 9435, 5980, 543, 519, 9435, 11644, 9751, 4659, 269, 0, 5278, 4241, 1382, 814, 2097, 547, 1769, 5063, 267, 799, 2982, 602, 2295, 2068, 6604, 12485, 616, 3810, 2500, 538, 7303, 610, 8488, 532, 2295, 5829, 2175, 269, 15788, 519, 3173, 1336, 602, 519, 5171, 685, 1272, 19104, 2799, 676, 909, 547, 476, 1015, 1296, 267, 543, 519, 1981, 540, 3384, 2295, 2068, 8519, 538, 1312, 2367, 543, 2021, 563, 29587, 2068, 6604, 2409, 616, 607, 2241, 607, 789, 616, 2500, 269, 2659, 2247, 949, 32603, 883, 7294, 8513, 267, 11842, 952, 972, 779, 513, 10788, 596, 991, 547, 1491, 610, 930, 7199, 5650, 596, 991, 547, 723, 547, 2149, 707, 2295, 269, 1809, 519, 2645, 1336, 547, 581, 1034, 2500, 693, 5329, 2550, 685, 9025, 1072, 593, 3950, 616, 2241, 543, 1419, 4122, 1634, 6197, 2242, 563, 1432, 3657, 634, 4107, 13229, 10644, 10613, 888, 31572, 10791, 1656, 11644, 454, 4322, 2395, 267, 1034, 1004, 616, 3168, 585, 606, 2653, 4368, 585, 741, 1072, 5829, 2152, 269, 1284, 1616, 547, 917, 602, 2921, 513, 1007, 7110, 267, 4189, 811, 540, 8726, 9341, 4829, 568, 2442, 267, 610, 1022, 824, 1072, 7678, 596, 666, 1589, 540, 786, 9004, 938, 1981, 540, 2295, 5829, 2175, 269, 1717, 267, 649, 2461, 5781, 18056, 676, 519, 2564, 2146, 602, 1079, 540, 519, 1034, 1271, 1919, 649, 666, 798, 547, 2149, 938, 2295, 1072, 616, 4189, 513, 2635, 2732, 543, 3478, 2834, 3635, 269, 634, 5728, 568, 856, 269, 1403, 596, 616, 13730, 827, 4509, 707, 9025, 1072, 543, 7303, 2295, 2068, 267, 3717, 609, 707, 4387, 827, 513, 2732, 543, 3635, 6296, 602, 786, 948, 596, 2226, 707, 9025, 1072, 1759, 593, 707, 1808, 2013, 563, 12507, 3218, 2659, 13379, 454, 14188, 2685, 519, 1505, 7396, 1657, 568, 606, 2500, 1907, 547, 948, 2550, 4383, 741, 2597, 269, 1809, 621, 779, 1271, 547, 11760, 602, 1256, 952, 596, 616, 4189, 1018, 596, 3494, 547, 581, 513, 2635, 2732, 543, 3478, 513, 2834, 2179, 540, 3635, 267, 621, 779, 1869, 1271, 547, 2226, 513, 2635, 2597, 543, 2569, 519, 2604, 593, 707, 9025, 1062, 563, 22137, 1397, 602, 7296, 13189, 666, 5595, 2550, 685, 1981, 540, 3384, 2295, 5821, 2663, 538, 1272, 269, 30586, 267, 609, 513, 2603, 540, 2069, 267, 7296, 814, 1831, 1447, 540, 513, 2686, 2343, 982, 538, 1296, 2250, 269, 1403, 596, 616, 513, 1268, 945, 4867, 1159, 10280, 267, 29655, 713, 4356, 949, 1118, 513, 7372, 3017, 538, 707, 2295, 1072, 538, 519, 1279, 2165, 269, 28423, 547, 707, 6315, 6048, 827, 7296, 29696, 3292, 547, 948, 596, 3247, 519, 4356, 563, 7021, 519, 2063, 8717, 267, 29738, 814, 1831, 513, 1454, 811, 2442, 4356, 602, 930, 1004, 946, 547, 2057, 7296, 13189, 269, 1703, 568, 1100, 2963, 547, 1397, 602, 621, 568, 1732, 585, 596, 610, 1447, 2693, 547, 2014, 2295, 2042, 269, 25003, 267, 538, 2489, 267, 568, 3983, 585, 707, 9025, 1072, 267, 543, 649, 20882, 596, 547, 2057, 13189, 543, 29738, 2472, 563, 31010, 15788, 2657, 454, 7312, 1560, 568, 7768, 540, 1082, 1949, 602, 960, 1927, 547, 1711, 707, 2949, 1072, 269, 1411, 1590, 960, 547, 2226, 782, 540, 519, 1949, 538, 707, 1560, 547, 2327, 602, 707, 9025, 1949, 2611, 2178, 269, 901, 1797, 8156, 1973, 2604, 267, 17441, 20817, 267, 8501, 267, 543, 811, 269, 19793, 1324, 2949, 1072, 949, 7620, 1745, 11566, 267, 855, 621, 779, 1271, 547, 3314, 602, 1142, 1062, 5673, 593, 519, 1866, 547, 1599, 3927, 563, 16729, 24930, 2107, 10249, 454, 2691, 707, 4387, 3947, 596, 7840, 610, 6527, 547, 948, 2226, 707, 2295, 1072, 543, 2061, 2295, 2042, 689, 9648, 267, 596, 1590, 1491, 873, 12517, 269, 1306, 6315, 5505, 267, 938, 3119, 3804, 568, 547, 948, 938, 2550, 2226, 741, 2295, 1072, 2429, 741, 2729, 267, 543, 649, 666, 1406, 798, 602, 1510, 2407, 4444, 2987, 543, 7589, 689, 938, 2550, 563, 2005, 568, 2295, 342, 9879, 543, 3078, 547, 1294, 602, 782, 540, 519, 1344, 649, 2322, 883, 519, 1158, 827, 2295, 2068, 6604, 568, 2348, 1279, 3856, 2360, 593, 519, 2298, 540, 1004, 779, 2729, 269, 1403, 596, 723, 2055, 827, 875, 547, 2936, 930, 540, 891, 6604, 2409, 610, 811, 1808, 7840, 585, 707, 1072, 267, 3346, 938, 5604, 2221, 269, 1284, 8910, 2648, 547, 948, 269, 0, 2005, 729, 519, 15521 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4901, 264, 1131, 1034, 9090, 10691, 1450, 721, 547, 4194, 4010, 519, 1482, 6323, 543, 4702, 2042, 267, 610, 723, 519, 1482, 4093, 585, 519, 1482, 2042, 563, 11581, 3951, 281, 594, 9863, 519, 4636, 3364, 269, 22043, 6169, 568, 538, 2022, 2630, 563, 2052, 596, 5225, 2347, 707, 6169, 286, 1215, 798, 594, 979, 689, 476, 272, 269, 8987, 272, 264, 815, 910, 272, 547, 11196, 272, 12684, 8987, 272, 6661, 263, 266, 272, 25145, 1744, 2393, 269, 594, 4503, 8289, 540, 519, 3804, 269, 590, 13446, 18502, 6440, 271, 815, 476, 271, 585, 782, 2338, 513, 13295, 621, 568, 3020, 602, 1700, 272, 6440, 271, 815, 476, 271, 3725, 2897, 476, 271, 593, 2451, 1688, 2427, 609, 630, 1700, 272, 1341, 476, 272, 264, 547, 1205, 1700, 272, 6440, 263, 1700, 272, 266, 272, 264, 815, 476, 271, 3086, 946, 519, 2733, 5737, 3959, 1700, 272, 6440, 263, 1700, 272, 264, 1341, 630, 1700, 272, 264, 6440, 272, 815, 476, 271, 30789, 538, 2247, 602, 476, 272, 6440, 320, 815, 513, 585, 782, 2338, 3947, 721, 1700, 272, 263, 1700, 272, 264, 1341, 630, 1700, 272, 264, 815, 476, 271, 13295, 1107, 272, 263, 1700, 272, 264, 568, 513, 1297, 971, 602, 950, 3773, 547, 1107, 272, 3947, 476, 271, 269, 9747, 1107, 272, 263, 1700, 272, 264, 1590, 581, 519, 6587, 540, 1107, 272, 799, 568, 476, 272, 563, 1411, 616, 14322, 602, 19605, 11201, 568, 2189, 269, 4746, 596, 616, 14322, 602, 910, 272, 8987, 272, 264, 568, 930, 1871, 693, 782, 282, 596, 1223, 2328, 606, 5393, 2147, 6169, 602, 3762, 596, 609, 476, 271, 270, 271, 815, 476, 272, 543, 621, 1131, 581, 25768, 547, 9959, 602, 476, 271, 270, 271, 2965, 568, 476, 272, 563, 476, 18606, 3436, 1411, 616, 14322, 602, 19605, 11201, 568, 2189, 476, 18606, 14597, 602, 930, 1297, 513, 814, 1079, 19605, 538, 951, 525, 21726, 543, 586, 269, 18606, 513, 1341, 1535, 815, 476, 271, 815, 1535, 1341, 513, 513, 1341, 586, 815, 476, 271, 815, 586, 1341, 513, 476, 18606, 6333, 18606, 1535, 1341, 513, 1341, 586, 815, 630, 343, 1341, 513, 264, 1341, 586, 815, 476, 271, 1341, 586, 815, 586, 1535, 1341, 513, 1341, 586, 815, 1535, 1341, 630, 320, 1341, 586, 264, 815, 1535, 1341, 476, 271, 815, 1535, 476, 18606, 4935, 1535, 284, 344, 267, 543, 865, 519, 19605, 11201, 568, 2189, 269, 18606, 3436, 596, 616, 14322, 602, 910, 272, 8987, 272, 264, 568, 930, 1871, 693, 782, 282, 476, 18606, 1284, 666, 5581, 621, 547, 723, 513, 1871, 543, 1287, 17589, 519, 3601, 540, 519, 1871, 269, 1284, 666, 1397, 621, 547, 581, 5812, 676, 2870, 606, 8763, 2203, 269, 6270, 1919, 616, 5266, 2653, 547, 798, 267, 855, 2154, 513, 1377, 540, 1469, 20025, 585, 713, 2796, 269, 18606, 3436, 596, 1223, 2328, 606, 5393, 2147, 6169, 602, 3436, 3762, 596, 609, 476, 271, 270, 271, 815, 476, 272, 543, 621, 1131, 581, 25768, 547, 3436, 9959, 602, 476, 271, 270, 271, 2965, 568, 476, 272, 269, 476, 18606, 16393, 596, 1459, 971, 513, 6169, 585, 721, 888, 5410, 1438, 538, 951, 525, 616, 2189, 538, 1022, 8258, 269, 634, 11029, 1919, 594, 1236, 5792, 936, 1317, 540, 519, 2930, 885, 3238, 568, 875, 798, 594, 917, 519, 2733, 5737, 3959, 6585, 585, 2942, 9981, 269, 11569, 267, 1018, 568, 513, 2942, 8870, 286, 1215, 1281, 835, 1205, 873, 689, 519, 2067, 2338, 286, 22206, 823, 621, 547, 2161, 602, 713, 666, 782, 581, 3989, 538, 513, 5812, 267, 5730, 1259, 543, 3388, 1568, 856, 563, 24511, 267, 649, 1152, 1589, 602, 621, 666, 581, 4330, 538, 513, 5812, 1259, 269, 1284, 723, 8810, 621, 5812, 1210, 1305, 3069, 2073, 855, 2696, 6202, 781, 5376, 916, 2995, 721, 602, 649, 3112, 6961, 513, 1062, 547, 581, 5812, 1510, 1210, 1945, 3544, 540, 1767, 1062, 630, 684, 1652, 519, 1062, 568, 22522, 1040, 901, 1797, 602, 972, 568, 930, 1377, 538, 938, 5832, 540, 15997, 602, 3112, 581, 8810, 5812, 563, 9320, 594, 993, 1360, 4636, 593, 713, 3390, 269, 634, 7440, 13890, 2630, 6542, 602, 2016, 513, 1305, 540, 24936, 1682, 610, 3601, 267, 972, 568, 1152, 835, 5812, 1259, 547, 5581, 11196, 272, 12684, 8987, 272, 1916, 898, 781, 711, 17062, 269, 898, 2501, 2047, 689, 519, 24936, 558, 18267, 563, 589, 3495, 558, 18267, 616, 7357, 17062, 952, 596, 786, 269, 774, 1846, 519, 2898, 1448, 281, 594, 6615, 8885, 547, 930, 2596, 3652, 1152, 1317, 602, 2636, 803, 547, 1397, 824, 5732, 3730, 1919, 267, 4539, 543, 3156, 563, 634, 8078, 2218, 267, 952, 596, 2811, 1869, 31153, 707, 2212, 3206, 827, 1950, 2338, 281, 5291, 2517, 321, 9116, 699, 343, 680, 7134, 2593, 270, 14895, 21669, 23724, 783, 10784, 30698, 28621, 728, 2483, 594, 993, 1208, 16940, 676, 519, 9355, 540, 713, 2626, 256, 763, 1966, 609, 1837, 585, 782, 2157, 630, 1278, 982, 873, 1373, 30891, 3585, 7199, 264, 568, 602, 789, 2270, 1082, 1377, 540, 27727, 267, 610, 1018, 835, 949, 1289, 1582, 2275, 839, 675, 267, 27229, 538, 1931, 711, 547, 29057, 3214, 1055, 269, 2290, 1377, 568, 519, 2489, 13618, 540, 875, 1058, 513, 1888, 1058, 581, 6026, 267, 1776, 4494, 568, 519, 2278, 781, 2070, 540, 875, 621, 1058, 581, 6026, 769, 2259, 972, 781, 519, 3791, 4494, 267, 1141, 519, 4116, 6799, 873, 538, 513, 1978, 1259, 269, 901, 2164, 538, 513, 1279, 5832, 540, 17363, 590, 904, 1141, 519, 3803, 267, 2922, 8631, 602, 781, 6026, 267, 585, 519, 4324, 540, 519, 1053, 267, 2247, 596, 267, 949, 1831, 1360, 1033, 3737, 689, 519, 4641, 543, 10761, 540, 519, 1888, 269, 10251, 267, 1053, 2141, 2631, 713, 543, 789, 19820, 621, 856, 267, 3056, 547, 865, 1082, 1004, 711, 6010, 532, 2979, 267, 6323, 267, 5365, 4393, 267, 596, 2012, 621, 7868, 7772, 540, 1569, 547, 513, 1268, 945, 568, 28222, 630, 4818, 1563, 547, 596, 264, 18164, 538, 693, 8084, 543, 568, 8348, 547, 8818, 596, 593, 2789, 2157, 543, 10213, 596, 607, 621, 568, 568, 11999, 269, 7454, 1634, 971, 1383, 267, 540, 1576, 267, 568, 3171, 2106, 2006, 855, 6323, 10323, 543, 930, 824, 12545, 2097, 2673, 563, 594, 3858, 476, 1911, 260, 602, 9499, 723, 1932, 1082, 2157, 540, 27727, 3773, 936, 942, 269, 1703, 781, 513, 2731, 4277, 2626, 2016, 593, 713, 3169, 1482, 1641, 676, 9291, 27176, 693, 519, 1306, 5155, 16635, 910, 2638, 621, 856, 1934, 281, 5291, 2517, 4178, 28938, 2593, 11320, 2255, 286, 341, 284, 296, 336, 325, 274, 337, 341, 326, 278, 5655, 326, 454, 22569, 2435, 2338, 616, 3989, 269, 22569, 2435, 2338, 616, 711, 32186, 610, 4376, 3116, 602, 594, 1832, 6217, 269, 8409, 616, 782, 3601, 540, 519, 1249, 602, 649, 5581, 606, 16494, 1297, 547, 581, 1990, 815, 513, 1341, 1979, 267, 1141, 513, 543, 536, 616, 1483, 2338, 267, 543, 1775, 317, 273, 815, 910, 272, 269, 2334, 781, 621, 28560, 2576, 12134, 1018, 568, 606, 16494, 1297, 519, 2953, 2626, 568, 834, 345, 815, 513, 266, 6798, 267, 1141, 513, 543, 536, 616, 1483, 2338, 267, 543, 1775, 317, 273, 815, 910, 272, 8487, 1411, 2811, 3206, 540, 1950, 2338, 563, 589, 1950, 834, 15893, 257, 630, 18484, 1405, 1589, 540, 621, 607, 540, 513, 1297, 256, 1589, 540, 621, 899, 596, 1131, 1589, 540, 513, 6152, 267, 1895, 267, 8258, 610, 1022, 824, 7493, 2497, 264, 568, 1175, 606, 10288, 6292, 540, 1483, 2338, 602, 31136, 538, 513, 1978, 30966, 1259, 950, 1373, 3773, 547, 1776, 1950, 1297, 610, 16611, 676, 621, 269, 1280, 606, 4367, 267, 547, 2057, 11991, 10539, 267, 621, 568, 1655, 547, 2328, 971, 834, 11133, 1499, 257, 607, 10288, 8424, 1210, 519, 10035, 281, 630, 320, 14720, 1040, 634, 8847, 585, 519, 4238, 616, 519, 1739, 281, 18606, 630, 320, 14720, 11924, 263, 322, 28504, 264, 815, 630, 320, 25239, 14720, 266, 323, 264, 630, 320, 14720, 9984, 263, 322, 28504, 264, 815, 630, 320, 2275, 14720, 1673, 264, 630, 320, 14720, 31618, 322, 28504, 264, 815, 630, 659, 1532, 323, 14720, 322, 266, 611, 264, 476, 18606, 898, 568, 3730, 547, 723, 5094, 4408, 585, 1142, 851, 540, 513, 1950, 1297, 267, 865, 519, 513, 538, 630, 320, 14720, 264, 568, 1572, 519, 1483, 851, 267, 543, 519, 536, 519, 16494, 851, 267, 855, 585, 1631, 1589, 827, 1346, 4408, 607, 4625, 27507, 540, 1022, 2495, 269, 3767, 267, 7747, 602, 896, 519, 1657, 4214, 281, 18606, 630, 320, 267, 271, 11924, 263, 322, 267, 271, 264, 815, 630, 320, 25239, 267, 271, 264, 630, 320, 267, 271, 9984, 263, 322, 267, 271, 264, 815, 630, 320, 2275, 267, 271, 264, 630, 320, 267, 271, 31618, 322, 267, 271, 264, 815, 630, 659, 267, 271, 264, 476, 18606, 1809, 1346, 616, 267, 952, 596, 2015, 1152, 519, 1483, 2694, 540, 519, 1950, 2338, 267, 8723, 4238, 593, 519, 1483, 2338, 256, 1323, 1383, 12343, 540, 713, 568, 602, 649, 666, 1491, 930, 3830, 7282, 1483, 2338, 899, 281, 18606, 476, 273, 20080, 1341, 476, 276, 815, 476, 2641, 476, 18606, 543, 2328, 621, 1524, 538, 2474, 540, 1950, 834, 11133, 1499, 9899, 18606, 630, 273, 267, 271, 12684, 343, 1341, 630, 276, 267, 271, 264, 815, 630, 2641, 267, 271, 264, 476, 18606, 4595, 607, 649, 723, 2938, 8424, 540, 519, 1106, 630, 320, 267, 271, 264, 13789, 1175, 899, 1483, 2338, 267, 649, 723, 711, 4957, 519, 2495, 540, 519, 3830, 267, 8754, 649, 616, 1863, 547, 4194, 621, 1210, 519, 3652, 540, 1950, 7223, 543, 952, 649, 4755, 547, 12446, 693, 1776, 1297, 540, 519, 1106, 630, 320, 267, 271, 1070, 649, 666, 1491, 856, 519, 1483, 851, 540, 621, 267, 11690, 621, 883, 519, 3312, 3830, 538, 2474, 540, 1483, 2338, 543, 621, 568, 1978, 547, 581, 513, 4570, 3070, 20136, 568, 835, 540, 519, 1079, 3601, 602, 2306, 519, 946, 540, 1950, 834, 11133, 1499, 257, 4829, 995, 269, 2311, 519, 824, 835, 649, 12446, 952, 649, 1631, 1413, 693, 834, 11133, 1499, 257, 602, 616, 10691, 540, 519, 1106, 630, 320, 267, 271, 1070, 585, 1383, 693, 513, 8049, 3959, 540, 630, 271, 267, 272, 2567, 18606, 630, 271, 267, 272, 31618, 271, 267, 272, 264, 815, 11196, 272, 267, 271, 264, 476, 18606, 1924, 267, 538, 519, 6389, 540, 1950, 834, 11133, 1499, 2580, 519, 834, 15893, 257, 602, 14687, 547, 519, 1483, 1297, 910, 272, 267, 4523, 547, 723, 519, 6697, 540, 1018, 649, 585, 1483, 2338, 1289, 519, 834, 338, 13645, 3597, 2668, 1284, 1175, 2911, 827, 519, 834, 338, 13645, 3597, 2580, 855, 621, 568, 513, 1114, 5106, 950, 649, 616, 6158, 827, 1950, 2338, 269, 17829, 1079, 3601, 5916, 4847, 22697, 547, 10994, 930, 2042, 602, 5892, 1705, 711, 723, 513, 3070, 269, 2290, 1383, 568, 519, 1966, 540, 4466, 513, 3070, 547, 12945, 4834, 269, 634, 2979, 1934, 4991, 811, 7294, 267, 855, 10416, 621, 7140, 856, 602, 676, 1603, 12945, 4834, 538, 1483, 2338, 538, 1950, 2338, 3079, 267, 596, 666, 1265, 2489, 12596, 538, 2474, 540, 1950, 2338, 585, 4466, 782, 519, 2009, 3435, 267, 543, 607, 649, 723, 5941, 952, 7311, 971, 513, 4542, 538, 519, 1439, 11729, 513, 1297, 540, 519, 1106, 630, 320, 267, 271, 1070, 621, 568, 16798, 547, 581, 513, 4570, 3070, 585, 519, 3312, 1483, 3830, 269, 5616, 585, 834, 31957, 545, 4834, 3556, 8457, 257, 547, 1294, 519, 3877, 269, 3086, 267, 713, 2469, 1394, 543, 8521, 1063, 1950, 543, 1483, 2338, 568, 865, 3730, 267, 602, 585, 519, 3483, 540, 1786, 6143, 22697, 14894, 539, 4111, 2225, 543, 5189, 4990, 540, 513, 695, 2180, 663, 10035, 540, 519, 1106, 281, 513, 1341, 1979, 267, 865, 3079, 540, 1603, 630, 271, 267, 272, 264, 607, 649, 1705, 1657, 267, 649, 1175, 2328, 1775, 267, 3079, 540, 630, 276, 267, 271, 264, 649, 1175, 2328, 476, 276, 267, 543, 3079, 540, 630, 272, 267, 273, 264, 649, 2328, 476, 272, 1341, 476, 273, 328, 269, 901, 568, 17033, 513, 8945, 267, 972, 568, 4986, 9589, 827, 519, 834, 328, 2580, 621, 568, 1175, 513, 834, 323, 16244, 257, 4756, 602, 2636, 10375, 8876, 856, 540, 519, 4238, 609, 8424, 4330, 1657, 538, 519, 6073, 556, 553, 5145, 1782, 8723, 1164, 17469, 7223, 649, 782, 917 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2864, 982, 3078, 269, 1261, 5555, 17875, 1194, 5196, 1010, 4651, 781, 22272, 267, 8913, 21794, 9900, 593, 1010, 19492, 557, 1247, 6998, 267, 834, 291, 23098, 267, 1946, 798, 1004, 1832, 8165, 8119, 6004, 269, 9652, 17328, 4310, 519, 7260, 543, 6743, 1524, 693, 1010, 5067, 267, 16734, 646, 2877, 513, 1697, 7778, 3079, 540, 1175, 2247, 8393, 11173, 519, 4670, 269, 1261, 3576, 513, 2620, 7362, 543, 14452, 267, 834, 11039, 267, 3006, 6738, 5725, 723, 22195, 267, 855, 5208, 3884, 1405, 519, 2626, 267, 14609, 344, 3010, 8601, 1373, 11655, 540, 891, 28601, 11051, 267, 519, 8592, 976, 15217, 8815, 547, 2490, 1055, 519, 7260, 1813, 547, 922, 16609, 28402, 543, 3668, 331, 13831, 1603, 269, 5502, 267, 789, 1904, 539, 585, 513, 1114, 2534, 910, 4604, 3756, 256, 717, 9312, 1472, 519, 2713, 4055, 3349, 267, 1142, 4759, 540, 519, 1920, 7722, 2898, 27329, 569, 267, 28617, 543, 11981, 2933, 1510, 30411, 269, 769, 3257, 865, 267, 789, 18674, 519, 2956, 540, 7836, 2298, 942, 1927, 267, 3024, 532, 6209, 3347, 936, 13719, 9913, 269, 1656, 1498, 519, 3781, 4769, 1405, 979, 3833, 607, 9709, 267, 3025, 4121, 1945, 3407, 267, 6028, 873, 1543, 543, 6251, 982, 2479, 269, 0, 2237, 513, 1650, 602, 7710, 513, 3510, 5594, 1644, 547, 713, 1257, 6256, 912, 22154, 729, 606, 11613, 15265, 7260, 269, 5213, 1405, 581, 561, 3293, 538, 676, 18332, 12532, 523, 610, 7812, 594, 6425, 728, 269, 5637, 616, 1390, 11051, 267, 855, 713, 1590, 3274, 581, 741, 10782, 1909, 538, 1686, 269, 4634, 741, 1390, 9117, 1223, 711, 28099, 655, 713, 7260, 781, 28457, 748, 1650, 1467, 269, 901, 7260, 568, 606, 2038, 562, 6839, 625, 2475, 18259, 4062, 269, 634, 1034, 1273, 4854, 10207, 941, 1346, 950, 519, 9069, 1014, 30280, 941, 1818, 741, 2665, 585, 26201, 269, 12756, 1230, 577, 7534, 1325, 517, 810, 7902, 943, 3415, 267, 543, 1200, 29660, 2000, 913, 26035, 609, 12532, 523, 729, 4986, 855, 513, 1273, 4854, 3929, 11690, 538, 513, 7260, 602, 729, 27507, 540, 1022, 1483, 2495, 269, 594, 993, 25922, 602, 972, 616, 9413, 899, 713, 267, 8297, 1456, 17076, 781, 899, 18332, 12532, 523, 781, 1434, 2012, 269, 594, 1223, 18923, 1694, 998, 621, 563, 1432, 568, 519, 18941, 540, 713, 2689, 888, 763, 18941, 540, 713, 2689, 568, 1360, 2942, 269, 634, 1268, 1705, 711, 899, 519, 7260, 693, 782, 543, 729, 25922, 609, 519, 12644, 540, 519, 11051, 267, 519, 1650, 1467, 267, 543, 519, 2949, 2298, 269, 1358, 7948, 1405, 2972, 621, 1256, 609, 741, 5172, 11051, 538, 621, 14325, 763, 1650, 1058, 11200, 998, 519, 3197, 4205, 267, 3664, 267, 543, 519, 4539, 540, 741, 3527, 269, 13667, 547, 15827, 538, 1455, 2631, 4245, 543, 1514, 10291, 269, 634, 2239, 1058, 8597, 547, 513, 3309, 2085, 1895, 267, 1519, 693, 2547, 835, 5188, 543, 9306, 1312, 2318, 543, 2942, 4093, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269, 0, 7705, 281, 19850, 7585, 256, 594, 4862, 596, 4312, 1044, 1565, 827, 3444, 3613, 3558, 5063, 269, 5620, 596, 2479, 6836, 7108, 1740, 2496, 7692, 281, 3143, 267, 594, 10093, 1405, 269, 1548, 568, 621, 4010, 2496, 8334, 281, 4270, 267, 7108, 1740, 568, 513, 1826, 540, 30927, 1141, 596, 946, 4496, 16060, 3079, 540, 2834, 3283, 269, 898, 5932, 4190, 267, 21743, 6272, 602, 1413, 899, 789, 2811, 1500, 856, 540, 4154, 610, 8988, 2439, 7692, 281, 26272, 267, 602, 4992, 3579, 256, 1809, 3884, 1405, 1210, 4496, 7199, 286, 1656, 9327, 1405, 621, 581, 2182, 547, 960, 609, 2496, 8334, 281, 8786, 267, 621, 666, 581, 11720, 1512, 982, 2834, 30927, 1317, 540, 519, 2027, 2326, 1031, 269, 1717, 267, 952, 596, 1491, 1434, 1416, 540, 707, 2645, 543, 7727, 267, 789, 666, 2063, 513, 1279, 942, 269, 1306, 585, 2324, 609, 4496, 16060, 267, 621, 3217, 930, 2259, 267, 855, 2899, 596, 1205, 519, 13793, 540, 621, 267, 621, 781, 2731, 1187, 2439, 7692, 281, 2334, 2306, 2631, 269, 9320, 835, 1554, 594, 1223, 2119, 621, 8885, 269, 1635, 519, 1259, 267, 798, 649, 991, 1022, 1808, 3937, 585, 7108, 1740, 3379, 547, 3339, 3444, 3613, 3558, 2496, 8334, 281, 1411, 1522, 991, 1114, 2010, 540, 19271, 2094, 4496, 16060, 616, 18219, 269, 4746, 267, 950, 596, 4444, 519, 4496, 16060, 267, 789, 2356, 2097, 593, 838, 8962, 1572, 834, 920, 1564, 2668, 1358, 948, 1832, 519, 16060, 6896, 1247, 596, 960, 780, 7692, 281, 7937, 267, 865, 1175, 899, 2348, 27342, 321, 1231, 585, 938, 2834, 16060, 2496, 8334, 281, 22549, 256, 3807, 3314, 602, 4496, 16060, 666, 581, 10347, 267, 865, 6023, 873, 9900, 547, 2057, 14124, 873, 780, 7692, 281, 20944, 621, 256, 1924, 267, 1018, 2186, 540, 3785, 666, 649, 1118, 609, 7108, 1740, 286, 3657, 972, 1022, 7687, 1813, 547, 519, 2326, 2496, 8334, 281, 4595, 4496, 16060, 1711, 971, 11495, 2360, 267, 1082, 1004, 3442, 547, 946, 873, 585, 16560, 4773, 899, 3774, 1148, 610, 7802, 30996, 880, 906, 269, 1703, 5749, 1405, 1932, 1082, 9993, 267, 4849, 602, 1360, 1507, 3877, 949, 1831, 4101, 547, 3035, 1813, 547, 519, 11098, 540, 519, 4496, 16060, 780, 7692, 281, 28514, 267, 1631, 594, 1174, 1946, 7108, 1740, 568, 2189, 543, 814, 922, 1378, 1305, 540, 3652, 269, 8729, 585, 7713, 3388, 267, 7705, 2439, 8334, 281, 3143, 1966, 267, 6126, 547, 2671, 1250, 1702, 256, 1403, 596, 2479, 1616, 547, 2285, 621, 513, 2119, 267, 1577, 803, 917, 267, 543, 649, 666, 2263, 713, 4241, 4739, 1927, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 528, 4584, 707, 2626, 676, 2442, 2055, 912, 268, 1548, 568, 3444, 3613, 3558, 888, 268, 1548, 568, 3444, 3613, 3558, 5958, 888, 268, 1548, 1281, 476, 1691, 28029, 1611, 538, 3444, 19173, 888, 268, 21150, 5514, 2044, 25966, 3444, 19173, 1107, 1548, 779, 519, 3017, 888, 268, 10261, 548, 4812, 5288, 9061, 3613, 3558, 1107, 1548, 568, 519, 3017, 1063, 3444, 19173, 543, 13549, 4812, 888, 268, 1548, 568, 519, 18736, 1505, 538, 3444, 19173, 888, 268, 1548, 779, 519, 3017, 1063, 19568, 543, 8142, 888, 268, 1548, 616, 3444, 19173, 7663, 680, 619, 888, 268, 2052, 596, 3444, 3613, 3558, 1510, 513, 11876, 641, 888, 268, 2052, 596, 3444, 3613, 3558, 593, 513, 25099, 888, 268, 1548, 568, 4620, 527, 1448, 888, 4696, 5588, 1107, 3444, 3613, 3558, 2146, 27099, 585, 968, 288, 11445, 1746, 24822, 2986, 27387, 338, 1848, 630, 13126, 281, 2622, 9061, 853, 3558, 4303, 994, 288, 5866, 1293, 10039, 547, 519, 1297, 540, 10945, 829, 10759, 593, 606, 589, 5866, 12308, 269, 901, 1797, 602, 513, 476, 1691, 28029, 589, 5866, 12308, 1131, 723, 476, 1691, 10945, 829, 5276, 10759, 269, 30003, 7306, 616, 476, 278, 267, 476, 1015, 267, 476, 1556, 267, 476, 1321, 267, 476, 1691, 267, 476, 1626, 267, 476, 1240, 267, 543, 476, 736, 1293, 269, 634, 2362, 519, 1297, 540, 10945, 829, 10759, 267, 519, 32067, 543, 811, 2143, 519, 1374, 786, 581, 269, 667, 10157, 15565, 589, 5866, 609, 3677, 10945, 630, 24992, 476, 278, 1107, 476, 1321, 1070, 799, 616, 4443, 547, 4172, 3010, 2237, 513, 2143, 17187, 5188, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 20112, 1740, 257, 607, 851, 540, 834, 290, 32323, 4811, 1299, 670, 15477, 10292, 2464, 1315, 10261, 548, 1740, 1315, 9061, 21178, 3558, 2580, 6098, 693, 1453, 547, 4001, 873, 1455, 2631, 269, 634, 5188, 1058, 4125, 1079, 3197, 267, 7705, 543, 7585, 267, 7234, 4948, 3871, 543, 1818, 3664, 1759, 593, 1455, 2631, 269, 2422, 2241, 2474, 543, 513, 2067, 267, 2502, 3159, 269, 24372, 2521, 547, 281, 8528, 268, 19308, 2055, 543, 4267, 602, 12172, 519, 1888, 543, 1683, 4052, 1806, 543, 3137, 540, 1946, 1919, 4755, 267, 2014, 7146, 13716, 3347, 267, 543, 875, 1004, 3335, 2170, 538, 891, 3871, 269, 3097, 268, 20864, 7653, 602, 2154, 1620, 15749, 8100, 543, 13865, 10881, 547, 8207, 13509, 269, 3097, 2710, 711, 2446, 519, 1357, 1349, 543, 11716, 3877, 13061, 547, 519, 1888, 269, 0, 3848, 476, 1724, 281, 932, 648, 2762, 538, 28042, 20989, 281, 14958, 532, 11873, 15881, 2510, 692, 296, 269, 4985, 454, 288, 269, 9502, 540, 7574, 16222, 25287, 2762, 454, 289, 269, 11137, 540, 922, 2956, 1369, 519, 2796, 540, 7900, 6575, 454, 290, 269, 8466, 4720, 543, 3310, 540, 25287, 2762, 538, 16340, 3118, 2982, 692, 2862, 269, 25043, 540, 932, 648, 2762, 538, 28042, 20989, 454, 288, 269, 17959, 540, 7544, 538, 16222, 454, 272, 269, 9147, 5259, 16222, 543, 922, 946, 540, 3350, 607, 9423, 3926, 454, 273, 269, 11193, 1974, 543, 5480, 23929, 5610, 883, 4249, 454, 274, 269, 4886, 540, 29478, 632, 1330, 1282, 3943, 25724, 5736, 454, 289, 269, 27336, 2526, 540, 1977, 7574, 16222, 454, 272, 269, 21478, 540, 3864, 1566, 699, 1777, 553, 543, 642, 7596, 5271, 4068, 6411, 454, 273, 269, 7216, 16340, 3118, 23806, 630, 24730, 631, 269, 595, 2129, 534, 267, 19953, 333, 345, 2098, 20672, 26709, 264, 543, 741, 7418, 454, 274, 269, 16949, 540, 7148, 7544, 543, 15690, 2609, 692, 7656, 269, 634, 10020, 540, 519, 932, 648, 19212, 538, 28042, 20989, 13870, 454, 288, 269, 20985, 1184, 454, 272, 269, 11554, 5702, 609, 8689, 267, 21917, 267, 11430, 878, 626, 267, 543, 22407, 454, 273, 269, 11154, 532, 25287, 2762, 2687, 547, 11051, 262, 1983, 543, 7687, 454, 289, 269, 25927, 908, 4798, 543, 4664, 883, 5322, 454, 272, 269, 4197, 1915, 9095, 338, 543, 3347, 454, 273, 269, 22034, 1114, 6163, 540, 7544, 547, 6655, 1808, 30181, 610, 6835, 454, 290, 269, 853, 1645, 9270, 454, 272, 269, 6611, 2359, 543, 2095, 454, 273, 269, 7033, 532, 543, 11733, 11558, 609, 2575, 543, 5188, 454, 291, 269, 1234, 515, 1513, 1023, 543, 27715, 454, 272, 269, 9752, 9696, 547, 5641, 2818, 454, 273, 269, 8033, 28204, 5355, 25287, 2762, 2429, 31667, 531, 1184, 692, 4353, 269, 27748, 545, 932, 648, 20802, 543, 4256, 3718, 454, 288, 269, 3397, 5886, 632, 631, 4068, 454, 272, 269, 20274, 256, 630, 3707, 274, 2567, 27505, 1359, 5626, 4082, 998, 3350, 454, 273, 269, 2961, 537, 1088, 630, 3707, 276, 2567, 10289, 3929, 6988, 3842, 5326, 2545, 7410, 454, 289, 269, 7585, 674, 657, 572, 454, 272, 269, 9628, 630, 3192, 276, 2567, 15043, 10058, 6822, 10631, 633, 543, 18935, 1242, 7575, 454, 273, 269, 667, 4545, 514, 262, 630, 3192, 279, 2567, 29760, 593, 4480, 543, 5647, 454, 290, 269, 7812, 26999, 9116, 454, 272, 269, 589, 932, 11501, 7412, 630, 3192, 276, 2567, 12650, 1005, 6151, 8103, 998, 2912, 819, 10207, 454, 273, 269, 14134, 326, 597, 3149, 630, 2735, 272, 2567, 2349, 2056, 1514, 16555, 543, 9913, 1871, 692, 309, 269, 7073, 12367, 543, 8892, 19648, 454, 288, 269, 9061, 24932, 516, 12760, 543, 17634, 454, 272, 269, 31177, 5577, 543, 4207, 7544, 7506, 454, 273, 269, 5564, 12855, 5043, 725, 543, 15138, 2833, 454, 289, 269, 9751, 3292, 543, 10333, 454, 272, 269, 5890, 21505, 4763, 1851, 25287, 20802, 543, 25249, 454, 273, 269, 18964, 2146, 6278, 543, 2069, 7341, 454, 290, 269, 25895, 7760, 543, 5691, 12644, 454, 272, 269, 4119, 7757, 4641, 3156, 454, 273, 269, 6732, 5867, 24339, 520, 2358, 1569, 547, 2200, 543, 18862, 692, 9654, 269, 10390, 454, 288, 269, 16871, 3586, 1689, 1247, 8497, 2245, 454, 289, 269, 13876, 2358, 25287, 2762, 607, 1898, 5057, 538, 2870, 11455, 26974, 3740, 1995, 454, 290, 269, 6184, 25378, 2104, 5481, 540, 5159, 547, 2263, 1007, 7399, 543, 7903, 6302, 538, 7574, 16222, 25287, 2762, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 10666, 2974, 3436, 8274, 540, 20180, 832, 454, 16031, 269, 2997, 1014, 814, 4607, 25414, 267, 30765, 30325, 267, 543, 9986, 643, 1512, 22952, 585, 1010, 960, 269, 1261, 6170, 1010, 2038, 4876, 12270, 1010, 942, 1063, 15472, 538, 971, 16340, 3118, 2982, 607, 4639, 17121, 9452, 267, 8342, 5500, 21756, 267, 543, 8361, 267, 21690, 8361, 543, 2324, 607, 513, 2504, 13930, 593, 3785, 899, 594, 1684, 256, 594, 1684, 256, 543, 3828, 12127, 269, 1261, 1101, 1558, 7812, 26999, 9116, 950, 789, 1312, 7902, 538, 3767, 1877, 547, 3619, 1809, 5455, 543, 585, 1079, 5756, 32524, 593, 8871, 2478, 267, 8871, 2478, 267, 23081, 334, 267, 7577, 267, 674, 3326, 625 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 18851, 1477, 15124, 652, 1455, 27708, 1477, 18851, 5897, 5814, 1770, 11687, 1477, 5814, 4351, 1477, 5814, 2979, 24653, 3698, 575, 7251, 318, 13440, 5416, 267, 536, 8029, 825, 5727, 13434, 27641, 1505, 540, 4466, 519, 717, 7374, 540, 2016, 1079, 2338, 1210, 28070, 5690, 18851, 5897, 825, 952, 513, 2652, 476, 271, 6769, 1038, 2132, 536, 1477, 825, 8640, 536, 2652, 476, 271, 6769, 1038, 2132, 513, 5897, 825, 952, 513, 11203, 536, 6769, 1038, 952, 513, 3436, 536, 6769, 2018, 513, 815, 513, 910, 536, 1477, 2018, 2132, 575, 7251, 318, 13440, 5416, 267, 536, 3418, 1038, 8640, 513, 2999, 536, 6769, 2018, 536, 815, 536, 910, 513, 1477, 2018, 2132, 575, 7251, 318, 13440, 5416, 267, 536, 3418, 825, 3116, 6769, 1038, 2132, 513, 24653, 3698, 575, 7251, 318, 527, 5416, 267, 536, 8029, 825, 5727, 296, 614, 894, 1505, 540, 4466, 519, 717, 17584, 540, 2016, 1079, 1297, 1210, 28070, 5690, 18851, 5897, 825, 952, 513, 2652, 476, 271, 6769, 1038, 2132, 536, 1477, 825, 8640, 536, 2652, 476, 271, 6769, 1038, 2132, 513, 5897, 825, 513, 815, 513, 1477, 825, 536, 815, 536, 5897, 825, 1247, 513, 11203, 536, 6769, 1038, 952, 513, 3436, 536, 6769, 2018, 513, 815, 513, 910, 536, 1477, 1038, 8640, 513, 2999, 536, 6769, 2018, 536, 815, 536, 910, 513, 5897, 825, 2132, 513, 24653, 5035, 717, 7251, 14818, 263, 684, 8636, 652, 11053, 652, 19111, 8029, 825, 5727, 13729, 540, 4255, 585, 713, 2898, 10872, 18851, 5897, 825, 1219, 1449, 318, 12690, 318, 1410, 3263, 4311, 8029, 1038, 5727, 14818, 513, 8536, 1806, 585, 4351, 2338, 1063, 476, 271, 543, 476, 1015, 317, 274, 1210, 3710, 2987, 5124, 1599, 18851, 5897, 1038, 585, 562, 538, 2039, 263, 271, 267, 476, 1911, 271, 8029, 2018, 1003, 272, 815, 4351, 26716, 7860, 263, 9792, 263, 271, 267, 476, 1015, 2878, 476, 274, 1070, 737, 284, 272, 3418, 2018, 1003, 273, 815, 4351, 26716, 7860, 263, 9792, 263, 271, 267, 476, 1015, 2878, 476, 274, 1070, 737, 284, 272, 10142, 2018, 1582, 27863, 14116, 7251, 318, 527, 16325, 272, 314, 271, 3910, 1003, 273, 314, 271, 25818, 2979, 3052, 7251, 16325, 272, 314, 271, 3910, 1003, 273, 314, 271, 8079, 3418, 2018, 1582, 27863, 14116, 7251, 318, 13440, 16325, 272, 314, 271, 3910, 1003, 273, 314, 271, 25818, 2979, 3052, 7251, 16325, 272, 314, 271, 3910, 1003, 273, 314, 271, 8079, 10142, 825, 1948, 15901, 730, 4255, 723, 8810, 602, 27952, 1505, 568, 2484, 811, 4052, 982, 25276, 835, 267, 607, 952, 2039, 585, 4351, 1477, 825, 1948, 567, 2338, 20489, 476, 1015, 476, 1822, 267, 519, 10872, 568, 1360, 2693, 547, 2743, 519, 5021, 3178, 540, 16571, 542, 543, 2132, 5470, 269, 5897, 825, 1948, 634, 2278, 540, 713, 3009, 5342, 827, 4557, 2929, 4255, 585, 27952, 1505, 1210, 2338, 1063, 476, 272, 543, 1477, 825, 1948, 567, 513, 5479, 267, 1317, 646, 4941, 547, 3002, 909, 1010, 4055, 513, 2370, 269, 1548, 646, 1705, 711, 917, 1498, 267, 729, 602, 12877, 2419, 1301, 786, 1477, 825, 1948, 567, 711, 946, 811, 982, 476, 1839, 260, 540, 17765, 781, 7384, 1379, 267, 1317, 621, 666, 1152, 2196, 593, 835, 4295, 269, 24653, 604, 6449, 4067, 1029, 2652, 21507, 10852, 1029, 262, 6769, 825, 1770, 11687, 6230, 664, 14052, 0, 18851, 1477, 19617, 1968, 1949, 20303, 1477, 18851, 5897, 5814, 1770, 11687, 1477, 5814, 4351, 24653, 3698, 1232, 15461, 10734, 514, 16325, 8029, 825, 5727, 3519, 591, 1206, 513, 8918, 1297, 883, 513, 9352, 835, 27969, 5897, 825, 952, 1003, 2652, 476, 271, 6769, 1038, 2132, 1412, 271, 321, 271, 262, 5897, 825, 1121, 8217, 815, 32582, 5897, 825, 1247, 1003, 11203, 476, 271, 6769, 1038, 14230, 815, 1003, 4939, 476, 273, 1477, 1038, 1121, 8217, 6910, 263, 8145, 664, 1457, 3418, 1038, 1003, 815, 1003, 12262, 476, 273, 5897, 825, 1121, 8217, 18622, 2091, 31476, 825, 1267, 815, 1496, 1598, 5560, 13424, 264, 585, 7857, 538, 1121, 8217, 15947, 825, 1267, 815, 834, 2668, 21860, 31114, 10142, 825, 2132, 1412, 271, 321, 262, 1341, 1267, 24653, 3698, 10822, 15461, 318, 20657, 16325, 8029, 825, 5727, 3519, 591, 1206, 513, 9352, 1297, 883, 513, 8918, 835, 18851, 5897, 825, 1003, 815, 703, 16325, 314, 273, 281, 316, 10142, 825, 1379, 815, 7003, 19304, 16325, 17903, 825, 1267, 815, 476, 271, 1477, 825, 10917, 8217, 815, 1496, 842, 3799, 264, 585, 562, 538, 1193, 16325, 13580, 5897, 825, 585, 1775, 538, 2039, 263, 272, 267, 7003, 19304, 16325, 4297, 1341, 476, 272, 8029, 1038, 1379, 815, 1379, 910, 476, 272, 1477, 1038, 1267, 815, 1267, 1341, 10917, 8217, 5157, 910, 476, 272, 316, 2608, 476, 273, 2878, 1379, 5897, 825, 2132, 1267, 24653, 3698, 1232, 15461, 318, 28411, 16325, 8029, 825, 5727, 3519, 591, 1206, 513, 8918, 1297, 883, 513, 15279, 1228, 31565, 835, 18851, 5897, 825, 1267, 815, 1496, 15947, 825, 1121, 8217, 815, 32582, 5897, 825, 1247, 1003, 11203, 476, 271, 6769, 1038, 14230, 815, 1003, 4939, 476, 1626, 1477, 1038, 1121, 8217, 6910, 263, 8145, 664, 1457, 3418, 1038, 1003, 815, 1003, 12262, 476, 1626, 5897, 825, 1121, 8217, 18622, 2091, 31476, 825, 15279, 8217, 815, 1496, 271, 267, 476, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 267, 476, 277, 267, 476, 278, 267, 476, 279, 267, 476, 280, 267, 834, 320, 2580, 834, 321, 2580, 834, 322, 2580, 834, 323, 2580, 834, 324, 2580, 834, 325, 19312, 5897, 825, 585, 7857, 538, 1121, 8217, 6769, 1038, 1267, 6910, 19304, 263, 28411, 8217, 314, 323, 13424, 8079, 10142, 825, 1267, 815, 834, 2668, 21860, 31114, 10142, 825, 2132, 1412, 271, 343, 262, 1341, 1267, 24653, 3698, 10822, 15461, 318, 28411, 16325, 8029, 825, 5727, 3519, 591, 1206, 513, 9352, 1297, 883, 513, 15279, 1228, 31565, 835, 18851, 5897, 825, 1003, 815, 703, 16325, 314, 273, 281, 316, 10142, 825, 1003, 8217, 815, 1496, 842, 3799, 264, 585, 562, 538, 1193, 16325, 13580, 1477, 825, 4994, 815, 476, 271, 1477, 825, 2185, 5091, 580, 1080, 815, 1496, 15947, 825, 15279, 8217, 815, 1496, 271, 267, 476, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 267, 476, 277, 267, 476, 278, 267, 476, 279, 267, 476, 280, 267, 834, 320, 2580, 834, 321, 2580, 834, 322, 2580, 834, 323, 2580, 834, 324, 2580, 834, 325, 257, 15947, 825, 10822, 8217, 815, 1496, 1598, 263, 20657, 15461, 10734, 514, 3799, 25011, 273, 281, 8079, 585, 562, 538, 2039, 263, 271, 267, 476, 1626, 13580, 1477, 825, 1267, 815, 32582, 5897, 825, 585, 1297, 538, 10822, 8217, 6769, 1038, 1247, 7003, 28840, 264, 2999, 476, 275, 6769, 2018, 1297, 815, 1412, 271, 262, 1341, 1297, 1477, 2018, 10822, 8217, 27709, 316, 815, 1297, 1477, 1038, 4994, 815, 4994, 1341, 476, 272, 5897, 825, 4994, 815, 476, 271, 5897, 825, 1247, 7003, 16325, 8217, 264, 4939, 476, 275, 11203, 476, 271, 6769, 1038, 1003, 8217, 11468, 271, 316, 815, 1496, 271, 316, 5897, 825, 585, 7857, 538, 1003, 8217, 6769, 1038, 2185, 5091, 580, 1080, 6910, 19304, 5560, 13424, 17903, 1038, 4994, 815, 4994, 1341, 476, 272, 5897, 1038, 952, 4994, 2652, 476, 275, 6769, 2018, 1267, 6910, 19304, 263, 28411, 8217, 314, 16535, 8217, 28827, 2891, 2668, 21860, 6600, 712, 5091, 580, 1080, 4297, 8079, 3418, 2018, 4994, 815, 476, 271, 1477, 2018, 2185, 5091, 580, 1080, 815, 32582, 5897, 825, 2132, 1412, 271, 343, 262, 1341, 834, 2668, 21860, 31114, 3418, 5897, 3698, 15279, 15461, 318, 20657, 16325, 8029, 825, 5727, 3519, 591, 1206, 513, 15279, 1228, 31565, 1297, 883, 513, 8918, 835, 18851, 5897, 825, 1003, 815, 1003, 314, 273, 281, 15947, 825, 1379, 815, 7003, 16325, 3418, 825, 1267, 815, 476, 271, 1477, 825, 15279, 8217, 815, 18358, 271, 3299, 1412, 272, 3299, 1412, 273, 3299, 1412, 274, 3299, 1412, 275, 3299, 1412, 276, 3299, 1412, 277, 3299, 1412, 278, 3299, 1412, 279, 3299, 1412, 280, 3299, 834, 320, 2580, 834, 321, 2580, 834, 322, 2580, 834, 323, 2580, 834, 324, 2580, 834, 325, 257, 15947, 825, 10917, 8217, 815, 1496, 333, 585, 562, 538, 1003, 15947, 825, 4994, 815, 476, 271, 5897, 825, 585, 1297, 538, 10917, 8217, 6769, 1038, 1297, 815, 15279, 8217, 28827, 28840, 3418, 1038, 10917, 8217, 27709, 316, 815, 703, 28840, 3418, 1038, 4994, 815, 4994, 1341, 476, 272, 5897, 825, 585, 1775, 538, 2039, 263, 272, 267, 7003, 19304, 16325, 4297, 1341, 476, 272, 8029, 1038, 1379, 815, 1379, 910, 476, 272, 1477, 1038, 1267, 815, 1267, 1341, 10917, 8217, 5157, 910, 476, 272, 316, 2608, 476, 1626, 2878, 1379, 5897, 825, 2132, 703, 31114, 3418, 5897, 3698, 15279, 15461, 10734, 514, 16325, 8029, 825, 5727, 3519, 591, 1206, 513, 15279, 1228, 31565, 1297, 883, 513, 9352, 835, 18851, 5897, 825, 1003, 815, 1003, 314, 273, 281, 316, 5897, 825, 1003, 8217, 815, 1496, 333, 585, 562, 538, 1003, 15947, 825, 15279, 8217, 815, 18358, 271, 3299, 1412, 272, 3299, 1412, 273, 3299, 1412, 274, 3299, 1412, 275, 3299, 1412, 276, 3299, 1412, 277, 3299, 1412, 278, 3299, 1412, 279, 3299, 1412, 280, 3299, 834, 320, 2580, 834, 321, 2580, 834, 322, 2580, 834, 323, 2580, 834, 324, 2580, 834, 325, 257, 15947, 825, 10822, 8217, 815, 1496, 20657, 15461, 10734, 514, 3799, 25011, 273, 281, 316, 585, 562, 538, 2039, 263, 271, 267, 476, 1626, 13580, 1477, 825, 1267, 815, 1496, 15947, 825, 4994, 815, 476, 271, 5897, 825, 585, 1297, 538, 10822, 8217, 6769, 1038, 1247, 7003, 28840, 264, 2999, 476, 275, 6769, 2018, 1297, 815, 1412, 271, 262, 1341, 1297, 1477, 2018, 10822, 8217, 27709, 316, 815, 1297, 1477, 1038, 4994, 815, 4994, 1341, 476, 272, 5897, 825, 4994, 815, 476, 271, 5897, 825, 585, 1297, 538, 1003, 8217, 6769, 1038, 1297, 815, 15279, 8217, 28827, 28840, 3418, 1038, 1003, 8217, 27709, 316, 815, 703, 28840, 3418, 1038, 4994, 815, 4994, 1341, 476, 272, 5897, 825, 585, 562, 538, 1003, 8217, 6769, 1038, 1267, 6910, 6357, 514, 8217, 19559, 316, 10142, 825, 1267, 815, 834, 2668, 21860, 31114, 10142, 825, 585, 562, 538, 1267, 6769, 1038, 952, 562, 2652, 1412, 271, 262, 6769, 2018, 1267, 815, 1267, 314, 272, 281, 15947, 1038, 3116, 6769, 2018, 2736, 5897, 825, 2132, 1412, 271, 321, 262, 1341, 1267, 24653, 5035, 6613, 1968, 3519, 591, 614, 14818, 263, 684, 8636, 652, 11053, 652, 19111, 8029, 825, 5727, 13729, 540, 4255, 585, 713, 2898, 10872, 18851, 5897, 825, 1219, 1449, 318, 4818, 732, 318, 5976, 10734, 16742, 514, 6958, 17313, 4311, 8029, 1038, 5727, 763, 1449, 19776, 2164, 689, 713, 10872, 609, 1346, 3177, 676, 3710, 2987, 3252, 18851, 5897, 1038, 585, 562, 538, 2039, 263, 271, 267, 476, 1911, 1822, 8029, 2018, 1003, 815, 4351, 26716, 7860, 263, 9792, 263, 271, 267, 476, 1015, 2878, 476, 280, 1070, 737, 284, 272, 3418, 2018, 1003, 815, 1003, 314, 271, 316, 5897, 2018, 1582, 27863, 6357, 514, 16325, 1070, 1232, 15461, 10734, 514, 16325, 17903, 2018, 1582, 27863, 263, 28411, 16325, 1070, 1232, 15461, 318, 28411, 16325, 264, 10142, 2018, 1003, 815, 10822, 16325, 10142, 2018, 1582, 27863, 17301, 16325, 267, 476, 273, 1070, 10822, 15461, 318, 20657, 16325, 17903, 2018, 1582, 27863, 263, 28411, 17301, 16325, 267, 476, 273, 24270, 10822, 15461, 318, 28411, 16325, 264, 10142, 2018, 1003, 815, 15279, 17301, 16325, 267, 476, 273, 264, 10142, 2018, 1582, 27863, 17301, 16325, 267, 476, 1626, 1070, 15279, 15461, 318, 20657, 16325, 17903, 2018, 1582, 27863, 6357, 514, 17301, 16325, 267, 476, 1626, 24270, 15279, 15461, 10734, 514, 16325, 17903, 5897, 604, 6449, 4067, 1029, 2652, 21507, 10852, 1029, 262, 6769, 825, 1770, 11687, 6230, 664, 14052, 0, 258, 272, 560, 7160, 476, 7367, 916, 454, 5035, 8827, 912, 825, 1219, 19467, 10521, 299, 1235, 4311, 267, 561, 272, 267, 561, 273, 2187, 1038, 952, 7183, 538, 630, 331, 272, 267, 331, 273, 2187, 2018, 2132, 561, 272, 610, 561, 273, 454, 1038, 1267, 815, 6843, 815, 5903, 11966, 263, 271, 994, 1038, 1247, 561, 272, 543, 561, 273, 912, 2018, 952, 561, 272, 22183, 10922, 561, 273, 22183, 912, 3546, 6843, 12785, 815, 561, 272, 454, 3546, 561, 272, 815, 561, 272, 12785, 454, 2018, 3116, 10778, 3546, 6843, 12785, 815, 561, 273, 454, 3546, 561, 273, 815, 561, 273, 12785, 454, 2018, 6843, 815, 6843, 12785, 454, 1038, 952, 561, 272 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 20133, 558, 1227, 20998, 23600, 269, 634, 1007, 1353, 538, 8761, 602, 519, 9641, 538, 1312, 536, 747, 597, 543, 32613, 1807, 6095, 849, 1599, 538, 513, 2147, 6073, 543, 2769, 1482, 1305, 540, 6090, 607, 1480, 9641, 563, 763, 1353, 849, 9727, 602, 519, 5160, 540, 519, 5761, 543, 7669, 15485, 540, 1034, 31607, 24991, 616, 1360, 2147, 538, 5444, 4082, 267, 30260, 789, 616, 4630, 27881, 8219, 607, 8176, 16817, 10567, 269, 1809, 1247, 16817, 6700, 602, 7669, 1025, 5417, 619, 10736, 547, 9641, 267, 519, 1353, 5267, 621, 568, 811, 2693, 602, 7669, 1025, 5417, 619, 7960, 689, 9641, 563, 763, 1382, 5267, 602, 938, 2038, 536, 3415, 3165, 11937, 1185, 18642, 6198, 9641, 269, 3414, 4720, 267, 835, 7936, 540, 3165, 12873, 519, 5761, 3252, 602, 616, 811, 9862, 547, 2011, 7244, 543, 6038, 3366, 547, 519, 4720, 540, 15067, 1905, 16104, 269, 634, 824, 7936, 540, 24991, 9168, 519, 5761, 2497, 543, 7960, 609, 7669, 1025, 5417, 619, 267, 3056, 519, 4720, 540, 7658, 739, 338, 269, 634, 7669, 1025, 5417, 619, 1450, 891, 24991, 547, 2226, 26255, 3599, 543, 13498, 2604, 267, 3976, 1732, 7639, 896, 1216, 563, 10527, 1353, 24084, 839, 721, 609, 14621, 547, 1141, 938, 1560, 8219, 3357, 689, 543, 875, 741, 3252, 616, 1232, 10757, 538, 519, 11646, 2223, 6941, 18681, 269, 968, 13295, 267, 930, 540, 519, 3252, 1644, 547, 5761, 543, 17873, 1705, 711, 11457, 693, 519, 942, 950, 519, 1216, 3562, 268, 1633, 5912, 7018, 855, 616, 23876, 676, 930, 3504, 5444, 9431, 6127, 602, 941, 2907, 1459, 538, 938, 3165, 22660, 2484, 1354, 13941, 269, 898, 568, 4277, 602, 891, 4719, 9479, 616, 1869, 1459, 538, 891, 2048, 331, 1516, 1922, 1601, 559, 685, 24991, 267, 799, 2709, 721, 519, 4316, 547, 10250, 1394, 519, 3597, 540, 891, 6090, 3034, 763, 16645, 636, 7690, 267, 1851, 1866, 267, 6462, 519, 1382, 563, 13126, 281, 2160, 540, 10515, 32683, 0, 12224, 2409, 585, 6128, 563, 7628, 519, 5046, 910, 866, 3510, 267, 621, 729, 1419, 19230, 602, 6595, 6552, 3450, 4679, 3604, 1851, 1053, 269, 3958, 267, 930, 12170, 2164, 538, 6215, 8576, 807, 5815, 602, 519, 3510, 693, 3506, 538, 6215, 8576, 807, 729, 1360, 3309, 267, 3056, 547, 513, 18670, 540, 519, 9698, 6240, 538, 2069, 269, 769, 713, 1957, 267, 649, 8495, 3450, 2409, 1031, 676, 3610, 538, 6433, 3450, 269, 634, 6538, 6799, 476, 8618, 1019, 2456, 540, 2104, 3610, 689, 519, 1101, 3446, 540, 10026, 1153, 547, 519, 8772, 3446, 540, 6281, 1153, 269, 634, 2164, 1397, 3604, 1063, 21927, 14482, 18291, 6595, 6552, 3450, 2994, 269, 20212, 616, 849, 19250, 1713, 2687, 547, 519, 3872, 5933, 269, 634, 2164, 2303, 602, 6281, 1153, 3610, 723, 1034, 3927, 7550, 543, 7471, 1114, 3845, 1565, 2994, 883, 741, 960, 269, 2201, 519, 824, 1688, 267, 930, 1362, 3610, 723, 711, 1044, 607, 3811, 267, 4440, 849, 1813, 547, 519, 1053, 685, 10058, 4162, 269, 634, 3119, 3483, 540, 713, 1957, 568, 547, 4766, 519, 681, 1794, 25419, 30790, 4732, 328, 1565, 1604, 267, 799, 666, 2569, 3604, 676, 3246, 513, 1455, 3872, 1448, 585, 782, 6215, 8576, 1014, 3119, 543, 6281, 1153, 1053, 269, 7053, 267, 649, 2285, 930, 6286, 585, 2168, 556, 268, 1263, 1771, 693, 1153, 563, 268, 6595, 6552, 3450, 454, 268, 3381, 3137, 454, 268, 3872, 5933, 454, 763, 5046, 268, 866, 6855, 568, 513, 1857, 1072, 543, 1646, 4161, 267, 855, 621, 568, 849, 606, 4316, 269, 2353, 8639, 723, 513, 5539, 547, 2327, 602, 649, 2666, 938, 3646, 538, 1480, 2924, 3741, 269, 634, 1318, 547, 2596, 2069, 568, 835, 540, 519, 4909, 2924, 282, 2705, 267, 621, 568, 1419, 26991, 269, 4438, 519, 6855, 267, 519, 1764, 540, 552, 19543, 3587, 1713, 269, 769, 606, 6595, 267, 1082, 2477, 6806, 3506, 543, 23564, 547, 3845, 1565, 563, 2304, 6207, 1480, 1318, 267, 2069, 568, 519, 5127, 13702, 540, 1175, 267, 3160, 267, 543, 8537, 7239, 543, 513, 1883, 9920, 540, 4264, 1646, 269, 5221, 540, 519, 17522, 540, 519, 1514, 8658, 538, 13460, 543, 3506, 267, 1053, 685, 3347, 609, 9905, 267, 3610, 267, 1153, 3401, 267, 543, 824, 5234, 543, 519, 5432, 5468, 602, 1489, 1565, 723, 1044, 22314, 269, 2859, 982, 476, 272, 269, 273, 5479, 6267, 5001, 941, 4299, 1813, 547, 1153, 543, 6280, 5008, 999, 1317, 540, 5046, 910, 866, 269, 1452, 18487, 5008, 999, 616, 18363, 936, 476, 2568, 260, 540, 519, 1158, 779, 2875, 2551, 269, 1306, 513, 3210, 547, 519, 2518, 2069, 6433, 267, 2228, 6595, 6552, 3450, 630, 12224, 264, 814, 1044, 8045, 269, 18317, 307, 1058, 581, 2808, 513, 10151, 3070, 547, 606, 7525, 1966, 269, 18317, 307, 568, 4330, 607, 513, 2656, 6521, 689, 519, 3068, 3562, 19904, 610, 10316, 3450, 540, 6044, 547, 4625, 3059, 2069, 1813, 547, 5007, 2188, 630, 26542, 268, 866, 264, 543, 1100, 942, 585, 7041, 269, 4595, 621, 568, 5423, 547, 4431, 547, 519, 6595, 267, 922, 3119, 2832, 568, 711, 547, 1020, 513, 7347, 3872, 5117, 855, 10151, 1569, 547, 6044, 543, 16929, 547, 1683, 1489, 269, 4475, 267, 18317, 307, 568, 827, 6765, 12331, 267, 2409, 267, 543, 2923, 269, 634, 7145, 540, 713, 2268, 568, 1869, 896, 4901, 1547, 11334, 1058, 9732, 514, 891, 2053, 630, 663, 782, 824, 2053, 264, 1589, 827, 711, 1152, 519, 1543, 540, 741, 3450, 855, 849, 519, 5420, 789, 946, 26872, 269, 4586, 8601, 519, 1655, 3646, 267, 3450, 5234, 814, 711, 5892, 1185, 547, 1020, 519, 11285, 1983, 2838, 547, 1711, 543, 5838, 2228, 1565, 543, 616, 2838, 547, 909, 12921, 650, 1360, 3533, 267, 12615, 908, 519, 4161, 540, 24569, 519, 2557, 540, 2069, 543, 1377, 540, 6278, 269, 769, 1840, 267, 519, 5046, 268, 866, 12176, 6534, 513, 1713, 8390, 538, 7855, 685, 22026, 547, 946, 2029, 547, 1489, 6267, 693, 513, 3845, 269, 634, 7934, 729, 8068, 538, 519, 3486, 2796, 1496, 274, 267, 476, 275, 316, 543, 519, 6215, 8576, 1014, 4586, 2304, 8241, 1353, 476, 25495, 602, 519, 5222, 616, 3226, 10423, 538, 519, 2038, 1296, 267, 2565, 1296, 585, 1565, 267, 543, 7925, 1053, 585, 7247, 1565, 2530, 568, 4101, 547, 9156, 610, 1053, 689, 15520, 543, 8059, 12264, 3309, 10080, 269, 1452, 9271, 616, 1419, 1813, 547, 3885, 685, 3668, 519, 2168, 5624, 267, 2029, 267, 543, 824, 2200, 547, 1489, 1565, 693, 1753, 269, 3958, 267, 1082, 3237, 543, 15637, 2154, 519, 942, 547, 1489, 741, 1453, 779, 1565, 269, 1284, 3494, 602, 2147, 8753, 1223, 581, 6537, 585, 519, 6215, 8576, 1014, 2796, 563, 1103, 713, 1957, 267, 649, 786, 1445, 593, 3246, 3160, 3255, 585, 1053, 538, 2053, 540, 19479, 540, 519, 3506, 538, 13044, 476, 866, 538, 6215, 8576, 807, 563, 1103, 519, 1739, 267, 649, 1101, 4766, 519, 2164, 540, 519, 5916, 12007, 6709, 656, 5511, 1353, 6313, 3450, 2853, 5342, 676, 6215, 8576, 1014, 3610, 538, 519, 1101, 5046, 268, 866, 5951, 269, 634, 1382, 2055, 538, 713, 851, 941, 454, 6518, 18317, 307, 2409, 941, 1031, 585, 3450, 6128, 689, 476, 272, 560, 547, 476, 1724, 628, 1032, 540, 18375, 267, 543, 454, 4777, 18317, 307, 2409, 8428, 2687, 547, 519, 2085, 540, 1053, 888, 1103, 519, 4901, 3296, 267, 649, 4766, 519, 6215, 8576, 1014, 3210, 547, 630, 553, 2164, 1397, 264, 513, 3810, 3309, 3510, 267, 519, 3135, 8940, 269, 23432, 25419, 30790, 4732, 328, 269, 769, 3932, 267, 649, 2709, 930, 4388, 585, 556, 268, 1263, 1771, 693, 3506, 563, 8794, 513, 1875, 7721, 704, 14939, 21465, 12191, 540, 24099, 1382, 267, 649, 786, 8495, 3610, 685, 3450, 2409, 1282, 6433, 3450, 563, 763, 6538, 5161, 540, 476, 8618, 5638, 689, 2259, 1019, 2456, 11643, 676, 2104, 3610, 1310, 1079, 543, 513, 3368, 3275, 540, 27772, 24099, 2259, 630, 19688, 267, 2904, 543, 4873, 476, 1708, 271, 1040, 1284, 723, 13671, 593, 519, 13746, 585, 519, 1641, 6128, 563, 4407, 2324, 689, 1753, 267, 519, 1053, 5645, 856, 519, 4052, 2866, 538, 606, 9862, 1106, 865, 602, 519, 5528, 585, 8600, 513, 1867, 7933, 10706, 941, 849, 9168, 269, 2290, 540, 519, 8370, 2798, 538, 741, 1019, 2456, 12211, 547, 741, 4116, 268, 618, 528, 6595, 6552, 3450, 2853, 269, 634, 1053, 941, 4280, 547, 1265, 856, 827, 519, 4116, 779, 2511, 543, 2324, 2409, 563, 19853, 4267, 941, 1031, 547, 3313, 2436, 519, 3610, 912, 326, 1511, 2854, 5528, 630, 2421, 4757, 267, 538, 5691, 13460, 267, 3092, 269, 13211, 4310, 3381, 15872, 630, 26132, 1378, 610, 689, 1866, 13211, 18988, 3381, 19014, 547, 2491, 1543, 2676, 29051, 543, 11117, 1702, 454, 338, 9407, 1565, 2042, 6829, 676, 519, 1053, 3092, 563, 1103, 6215, 8576, 807, 267, 513, 1582, 8410, 22633, 6044, 1062, 568, 4294, 267, 1141, 519, 3119, 4116, 630, 810, 10777, 1362, 4116, 264, 11414, 782, 1153, 5396, 2394, 476, 276, 628, 3446, 630, 1015, 1700, 1556, 1296, 2025, 1053, 1070, 1519, 6128, 269, 1284, 786, 1289, 713, 1974, 3872, 3942, 594, 267, 4553, 676, 3942, 4083, 689, 476, 277, 628, 547, 476, 280, 628, 3446, 267, 1141, 513, 1641, 630, 3901, 24136, 264, 4116, 11414, 1053, 269, 769, 3942, 4083, 267, 3610, 616, 13473, 607, 5595, 28175, 915, 3610, 630, 324, 3052, 1421, 6128, 2101, 543, 6323, 2101, 267, 6128, 2173, 1994, 543, 1686, 2101, 2507, 1040, 7053, 267, 693, 3942, 8633, 630, 16149, 776, 1153, 1377, 1070, 1152, 513, 2582, 28175, 915, 4116, 630, 21671, 6128, 2101, 264, 568, 6132, 10642, 547, 4001, 563, 763, 1019, 2456, 540, 27772, 24099, 2259, 11643, 676, 476, 2190, 628, 4873, 476, 1708, 271, 941, 21845, 269, 634, 1019, 2456, 941, 2854, 676, 1053, 540, 1614, 3292, 281, 476, 272, 560, 4783, 1982, 12729, 4065, 630, 560, 720, 594, 3610, 1070, 19618, 4487, 779, 1353, 1982, 13595, 4116, 630, 560, 720, 4083, 3610, 264, 543, 476, 273, 526, 4783, 1982, 12409, 9119, 630, 560, 720, 8633, 3610, 1040, 2311, 519, 3872, 3942, 594, 476, 10170, 1053, 11643, 1019, 2456, 267, 543, 476, 4097, 630, 5392, 8472, 1019, 2456, 941, 3769, 538, 519, 2079, 267, 607, 519, 2838, 1344, 1223, 581, 6508, 689, 873, 269, 1284, 21845, 476, 1015, 630, 10695, 260, 540, 782, 264, 1019, 2456, 693, 3942, 4083, 267, 543, 693, 3942, 8633, 1240, 630, 4037, 260, 540, 782, 264, 1019, 2456, 941, 3769, 538, 519, 2079, 269, 4935, 267, 538, 2698, 267, 476, 8618, 1019, 2456, 941, 3769, 538, 519, 2079, 563, 763, 1239, 941, 21845, 1210, 3270, 540, 1455, 4704, 547, 2078, 2152, 269, 2060, 519, 946, 540, 2239, 2079, 267, 1142, 10683, 13675, 729, 1101, 5462, 12880, 1106, 540, 4116, 268, 618, 528, 18317, 307, 2853, 269, 5811, 729, 2944, 1210, 21044, 2079, 538, 3670, 11775, 281, 5432, 2358, 609, 519, 1239, 630, 10520, 21564, 267, 2542, 543, 556, 22345, 519, 1239, 1247, 8195, 15663, 3355, 2093, 1070, 10451, 3355, 9479, 630, 17882, 1738, 8193, 540, 4277, 2934, 540, 519, 1239, 543, 2458, 908, 1239, 2687, 547, 519, 9479, 1070, 10478, 585, 4798, 630, 322, 3326, 908, 540, 519, 9479, 883, 1761, 4798, 1070, 17265, 4798, 630, 3832, 9535, 540, 4798, 1996, 519, 27573, 6898, 543, 519, 1239, 607, 513, 2898, 1070, 10747, 543, 20803, 4798, 630, 10915, 1456, 1142, 6249, 543, 10451, 2312, 8847, 585, 1142, 6249, 1070, 6721, 519, 1867, 630, 25075, 4575, 21555, 585, 1142, 6249, 547, 9414, 519, 5171, 685, 6589, 543, 9236, 4798, 543, 21555, 609, 4143, 3332, 1916, 2171, 1101, 1459, 519, 2164, 540, 12007, 2079, 538, 7305, 476, 272, 269, 3973, 267, 547, 2285, 5639, 547, 5171, 538, 519, 12007, 2079, 267, 649, 1039, 32461, 689, 1019, 2456, 269, 7053, 267, 519, 1344, 827, 519, 3872, 3942, 9619, 676, 513, 10839, 568, 3177, 538, 23049, 563, 21511, 1889, 1475, 20373, 1475, 31306, 3610, 685, 19701, 21626, 2008, 347, 24309, 5528, 1475, 763, 21927, 14482, 12329, 10274, 519, 2875, 779, 1565, 1184, 609, 2854, 5528, 269, 634, 2875, 11392, 2854, 5528, 998, 1585, 9055, 630, 324, 3052, 1421, 4757, 267, 2228, 4928, 267, 9049, 30581, 1040, 634, 5528, 1331, 513, 811, 2143, 7778, 540, 519, 1543, 543, 10467, 602, 519, 2875, 1058, 30593, 547, 19597, 622, 1702, 269, 1717, 267, 519, 5528, 616, 538, 11979, 1257, 3898, 267, 799, 10355, 3568, 6402, 547, 1585, 19180, 543, 7317, 1543, 13954, 9336, 10732, 267, 519, 21927, 14482, 12329, 2366, 1007, 5528, 547 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 7462, 4460, 519, 2953, 4244, 538, 519, 1739, 281, 1103, 513, 23481, 3892, 267, 519, 5506, 540, 3478, 1967, 568, 476, 272, 270, 275, 543, 3044, 11539, 568, 476, 274, 269, 3973, 267, 922, 1797, 568, 692, 11693, 1384, 303, 3287, 284, 272, 6661, 272, 270, 275, 284, 335, 692, 336, 284, 274, 270, 275, 692, 24092, 11539, 815, 274, 692, 13614, 284, 2496, 284, 476, 274, 692, 11743, 815, 5286, 692, 284, 476, 1321, 692, 272, 0, 258, 9717, 2630, 568, 513, 2650, 5750, 6029, 519, 942, 692, 9223, 1384, 11693, 2630, 568, 513, 2650, 5750, 6029, 519, 942, 6108, 676, 513, 1895, 540, 476, 12573, 1453, 538, 1114, 3756, 269, 27297, 621, 543, 2626, 519, 2055, 602, 1246, 780, 5416, 264, 1215, 1082, 1453, 6108, 693, 548, 770, 835, 5662, 538, 4730, 3756, 2496, 6357, 264, 1215, 1082, 1453, 6108, 811, 982, 476, 273, 554, 538, 4730, 3756, 2496, 6262, 264, 1215, 1082, 1453, 6108, 476, 274, 610, 14758, 3108, 538, 4730, 3756, 2496, 5560, 264, 6904, 568, 3152, 267, 1297, 540, 1453, 945, 6108, 476, 273, 3108, 610, 811, 829, 1547, 1554, 610, 1297, 540, 1453, 945, 1404, 585, 1447, 982, 835, 5662, 2496, 11405, 1384, 5416, 264, 7089, 540, 1453, 945, 6108, 693, 548, 770, 476, 272, 554, 538, 4730, 3756, 1775, 4318, 269, 519, 1297, 540, 1453, 4730, 476, 272, 554, 610, 811, 982, 476, 272, 554, 692, 284, 630, 13707, 1297, 540, 1453, 264, 1107, 630, 10831, 540, 1453, 6108, 1447, 982, 476, 272, 554, 2020, 284, 476, 12573, 268, 277, 260, 540, 476, 12573, 692, 259, 284, 12573, 10559, 2765, 346, 277, 2410, 1911, 348, 1422, 9392, 476, 12573, 6911, 284, 476, 12573, 1107, 476, 2641, 815, 476, 31696, 692, 6357, 264, 7089, 540, 1453, 945, 6108, 811, 982, 476, 273, 554, 538, 4730, 3756, 692, 284, 630, 4097, 1341, 476, 1015, 1341, 476, 275, 264, 260, 1993, 519, 2698, 1297, 540, 1053, 692, 284, 476, 4366, 260, 540, 476, 12573, 692, 259, 284, 4366, 1422, 9392, 476, 12573, 284, 12739, 6911, 6262, 264, 7089, 540, 1453, 945, 6108, 476, 274, 610, 14758, 3108, 538, 4730, 3756, 692, 284, 630, 4097, 1341, 476, 1789, 1341, 476, 1626, 1341, 476, 277, 264, 260, 540, 2698, 1297, 540, 1053, 692, 284, 476, 10436, 260, 540, 476, 12573, 692, 259, 7807, 2765, 346, 10436, 2410, 1911, 348, 1422, 9392, 476, 12573, 284, 22145, 6911, 5560, 264, 7089, 540, 1453, 945, 6108, 476, 273, 554, 610, 811, 829, 1554, 538, 4730, 3756, 692, 284, 630, 1789, 1341, 476, 4097, 1341, 476, 1015, 1341, 476, 275, 264, 260, 540, 2698, 1297, 540, 1053, 815, 476, 4281, 260, 540, 2698, 1297, 540, 1053, 692, 10831, 540, 1453, 945, 6108, 1447, 982, 835, 5662, 815, 476, 277, 260, 540, 2698, 1297, 540, 1053, 692, 28733, 569, 267, 1297, 540, 1453, 945, 1404, 585, 476, 273, 554, 610, 811, 829, 1554, 568, 3152, 982, 519, 1297, 540, 1453, 945, 1404, 585, 1447, 982, 476, 272, 554, 269, 0, 303, 6395, 692, 8698, 9509, 19405, 2433, 6824, 5187, 2305, 692, 1556, 268, 5400, 268, 1001, 274, 267, 476, 6860, 281, 1789, 7537, 454, 7617, 540, 519, 1739, 568, 3160, 547, 1422, 6912, 3189, 2765, 346, 275, 2410, 278, 3686, 2496, 10490, 264, 1422, 2765, 346, 273, 2410, 278, 10926, 16360, 264, 1422, 2765, 346, 273, 25490, 346, 278, 12453, 278, 10926, 18154, 264, 1422, 2765, 346, 275, 7346, 6912, 346, 278, 3686, 692, 20573, 264, 1422, 2765, 346, 275, 25490, 346, 278, 12453, 278, 10926, 27887, 264, 1422, 2765, 346, 1626, 2410, 5392, 10926, 12552, 256, 282, 2020, 601, 9626, 454, 1556, 268, 5400, 268, 1001, 274, 267, 476, 6860, 281, 1789, 7537, 454, 1607, 1297, 666, 581, 2854, 607, 1422, 2765, 3189, 6912, 275, 7346, 6912, 278, 3686, 7807, 2765, 346, 273, 7346, 6912, 346, 278, 3686, 7807, 2765, 346, 273, 315, 21762, 346, 278, 12453, 278, 10926, 11997, 519, 2953, 2626, 568, 630, 289, 1040, 0, 11405, 1015, 692, 258, 8827, 1015, 910, 6465, 476, 12573, 8827, 547, 589, 5416, 9399, 15383, 815, 13718, 1607, 12744, 2982, 2985, 476, 272, 269, 6178, 909, 547, 2070, 519, 2407, 1543, 780, 1607, 568, 519, 1439, 540, 519, 12744, 269, 6178, 909, 547, 1569, 519, 1964, 540, 519, 3561, 780, 4462, 8971, 1540, 1257, 12744, 281, 6465, 476, 12573, 8827, 547, 12143, 476, 1015, 476, 1556, 269, 630, 320, 264, 9399, 15383, 815, 476, 4649, 274, 271, 269, 10844, 910, 630, 4198, 271, 7565, 5325, 269, 10844, 8358, 1240, 815, 476, 26552, 269, 6812, 277, 5780, 278, 267, 9399, 16282, 815, 476, 25172, 267, 280, 3583, 910, 630, 4198, 271, 264, 273, 270, 1240, 815, 476, 2412, 267, 24798, 25467, 9399, 344, 344, 815, 476, 9873, 269, 2568, 278, 275, 910, 630, 5325, 269, 10844, 264, 273, 270, 1240, 815, 476, 274, 269, 30033, 278, 1556, 267, 865, 678, 284, 815, 1547, 280, 5780, 273, 1703, 568, 513, 1360, 2178, 2318, 9756, 1063, 519, 1079, 4632, 269, 630, 321, 264, 5221, 519, 7681, 1063, 519, 4632, 568, 2318, 267, 519, 19494, 609, 519, 3677, 19852, 3196, 786, 4043, 547, 723, 513, 3677, 2600, 3819, 6775, 2597, 269, 630, 322, 264, 21744, 519, 4559, 540, 6482, 593, 2901, 630, 528, 1312, 264, 4632, 786, 723, 1100, 1198, 593, 519, 7229, 1871, 540, 678, 267, 1317, 1022, 1689, 538, 4559, 786, 1860, 1312, 519, 19362, 543, 14009, 540, 678, 676, 4010, 519, 1482, 3818, 2364, 894, 3586, 269, 476, 1724, 269, 4107, 1004, 10536, 513, 12689, 607, 4166, 607, 789, 1831, 14718, 269, 1403, 585, 267, 1383, 267, 519, 5934, 2085, 585, 13844, 513, 12689, 568, 476, 1626, 267, 1287, 519, 942, 2094, 16565, 513, 12689, 267, 586, 267, 568, 2356, 1644, 547, 2085, 676, 519, 3830, 586, 1535, 268, 476, 1626, 267, 799, 568, 519, 3830, 540, 513, 2786, 1899, 269, 769, 824, 1913, 267, 519, 5354, 540, 1004, 538, 513, 3732, 786, 723, 586, 2418, 602, 5702, 1246, 519, 1899, 586, 815, 1535, 268, 1626, 269, 4635, 513, 9756, 11664, 547, 17412, 519, 2078, 1063, 519, 7376, 630, 343, 264, 543, 519, 6455, 3902, 630, 344, 264, 568, 711, 3617, 269, 1677, 12337, 543, 4612, 513, 9756, 11664, 1312, 1535, 543, 586, 4632, 1590, 581, 11050, 4632, 269, 2755, 519, 586, 4756, 267, 9042, 3902, 267, 568, 11050, 267, 519, 1535, 4756, 267, 7376, 267, 568, 711, 269, 2913, 546, 271, 20301, 519, 630, 325, 12089, 264, 3259, 540, 519, 12701, 540, 19814, 269, 3973, 267, 546, 271, 815, 3845, 815, 630, 3433, 7565, 5503, 264, 815, 27976, 269, 29435, 532, 1312, 5011, 676, 1535, 267, 3947, 519, 3830, 586, 815, 546, 271, 24474, 799, 1797, 519, 2078, 1063, 1535, 543, 586, 568, 20078, 559, 710, 541, 630, 514, 1880, 267, 519, 7455, 568, 513, 5409, 19096, 1040, 1717, 267, 585, 2418, 540, 1535, 602, 616, 9425, 2673, 547, 835, 1776, 267, 6810, 540, 713, 5409, 19096, 666, 581, 4114, 13846, 1360, 1134, 676, 513, 2786, 1899, 609, 513, 2942, 9386, 630, 1729, 1294, 713, 267, 2721, 513, 4605, 540, 519, 1599, 546, 271, 24474, 585, 513, 1880, 1871, 540, 546, 271, 1040, 901, 1797, 602, 678, 1058, 581, 6251, 547, 910, 269, 280, 982, 547, 1022, 540, 519, 824, 5079, 269, 634, 1871, 540, 519, 3732, 9756, 11664, 1210, 519, 16302, 586, 2418, 1131, 711, 8209, 581, 5111, 476, 272, 269, 1403, 519, 586, 268, 11161, 616, 3152, 982, 476, 272, 267, 1287, 519, 16302, 586, 268, 11161, 1131, 8428, 689, 1142, 824, 676, 811, 982, 519, 586, 268, 11161, 8428, 689, 835, 1776, 269, 9747, 267, 519, 2078, 1063, 1535, 543, 586, 273, 1131, 581, 1447, 899, 513, 2786, 1899, 267, 543, 519, 4611, 1871, 540, 519, 9756, 11664, 1131, 6175, 269, 1496, 9616, 281, 594, 723, 2943, 547, 1265, 606, 1383, 1141, 678, 568, 1447, 982, 827, 1547, 9834, 585, 630, 343, 267, 586, 273, 1070, 2705, 20426, 476, 1691, 269, 476, 1428, 269, 476, 1626, 269, 476, 1240, 269, 630, 320, 264, 1677, 3489, 519, 2547, 10945, 9695, 3830, 267, 1101, 649, 786, 12337, 519, 9386, 543, 519, 7299, 18448, 1210, 519, 4834, 3177, 538, 8791, 476, 274, 269, 274, 269, 4935, 267, 519, 3830, 585, 519, 2547, 10945, 1899, 568, 281, 630, 321, 264, 634, 7222, 15895, 568, 281, 630, 322, 264, 8786, 267, 972, 568, 513, 1360, 1804, 15895, 7222, 547, 519, 630, 4391, 267, 476, 280, 264, 6292, 269, 634, 10567, 1871, 11224, 476, 2190, 269, 10602, 543, 2094, 519, 4767, 1871, 568, 476, 280, 267, 519, 15895, 11224, 630, 280, 476, 2190, 269, 10602, 264, 815, 910, 1428, 269, 10602, 269, 630, 323, 264, 1284, 991, 547, 12337, 678, 273, 269, 4935, 267, 476, 4817, 269, 277, 260, 540, 519, 4767, 8390, 538, 8851, 666, 581, 6045, 676, 519, 16977, 5276, 2078, 1063, 8851, 543, 15205, 267, 513, 1360, 11141, 1267, 269, 630, 324, 264, 2991, 18111, 1154, 891, 1079, 8424, 540, 7422, 267, 519, 1007, 2547, 10945, 1899, 3587, 281, 1924, 267, 596, 666, 1294, 519, 1804, 1198, 891, 1079, 8424, 540, 7422, 1185, 593, 519, 2079, 269, 634, 7447, 540, 519, 9386, 729, 8519, 543, 519, 3514, 540, 519, 2547, 10945, 1899, 267, 607, 6027, 676, 678, 273, 267, 568, 711, 5176, 607, 1434, 269, 4429, 8698, 9509, 11657, 692, 346, 314, 15165, 21574, 300, 20687, 9948, 10926, 16485, 513, 6780, 2243, 910, 21493, 616, 2228, 0, 1012, 6092, 20895, 692, 1892, 10126, 21093, 29035, 630, 10673, 1405, 4787, 760, 901, 3487, 994, 1892, 10126, 32417, 543, 4578, 3163, 281, 589, 21290, 13979, 454, 1892, 10126, 303, 11286, 594, 281, 12327, 12195, 3036, 5058, 966, 2752, 8656, 3582, 454, 1892, 10126, 6637, 476, 272, 910, 8080, 547, 10803, 281, 589, 21290, 13979, 454, 1892, 10126, 6637, 476, 273, 910, 4197, 4578, 454, 1892, 10126, 6637, 476, 274, 910, 24167, 20518, 1903, 454, 1892, 10126, 6637, 476, 275, 910, 4112, 8724, 7352, 566, 454, 1892, 10126, 303, 11286, 4083, 281, 26827, 5085, 5058, 966, 2752, 8656, 3582, 454, 1892, 10126, 6637, 476, 276, 910, 589, 11822, 7844, 454, 1892, 10126, 6637, 476, 277, 910, 10829, 4328, 18438, 454, 1892, 10126, 6637, 476, 278, 910, 17006, 606, 4112, 534, 2218, 24438, 547, 519, 7844, 454, 1892, 10126, 6637, 476, 279, 910, 17738, 609, 513, 26592, 4112, 534, 2218, 24438, 454, 1892, 10126, 303, 11286, 8633, 281, 12601, 3201, 308, 288, 16249, 26827, 30600, 454, 1892, 10126, 6637, 476, 280, 910, 634, 20603, 540, 5606, 2397, 454, 1892, 10126, 6637, 476, 1015, 910, 7844, 18948, 609, 674, 454, 1892, 10126, 6637, 476, 1556, 910, 20368, 2678, 6480, 11582, 543, 30151, 3955, 10094, 454, 1892, 10126, 303, 11286, 10001, 281, 631, 8085, 30888, 2752, 296, 12442, 26827, 30600, 454, 1892, 10126, 6637, 476, 1321, 910, 4985, 547, 5564, 21725, 17738, 454, 1892, 10126, 6637, 476, 1724, 910, 5564, 21725, 7844, 10313, 11143, 454, 1892, 10126, 19226, 5109, 5455, 630, 10673, 1405, 4787, 760, 901, 3487, 26695, 1892, 10126, 4910, 1545, 692, 2162, 1592, 5441, 1315, 11628, 10803, 543, 4578, 3163, 630, 5723, 7374, 2020, 9349, 454, 1892, 4400, 3427, 1315, 10803, 543, 4578, 3163, 594, 630, 5723, 994, 1892, 5441, 1315, 10803, 543, 4578, 3163, 630, 27398, 994, 1892, 4400, 3427, 1315, 11628, 10803, 543, 4578, 3163, 594, 630, 27398, 994, 1892, 5441, 1315, 11628, 10803, 543, 4578, 3163, 630, 5723, 7374, 994, 1892, 4400, 3427, 1315, 10803, 543, 4578, 3163, 4083, 630, 311, 7374, 2020, 1012, 476, 274, 269, 277, 634, 7982, 543, 1280, 628, 9737, 4578, 543, 519, 667, 25897, 630, 16676, 4240, 2020, 2162, 24167, 7352, 566, 21661, 27842, 692, 4131, 779, 1491, 513, 20533, 3732, 540, 476, 1321, 5884, 20061, 630, 338, 600, 7204, 609, 10682, 689, 519, 3670, 2009, 4093, 264, 543, 4688, 621, 538, 513, 6152, 1572, 3732, 272, 780, 11754, 930, 3009, 547, 1711, 513, 5860, 27008, 630, 6518, 1223, 849, 581, 1572, 513, 3448, 4908, 27008, 264, 547, 4983, 519, 3892, 540, 938, 3732, 269, 5590, 25510, 284, 277, 780, 7528, 790, 6262, 6847, 330, 1092, 264, 1305, 269, 23092, 263, 275, 264, 2203, 7272, 641, 26013, 476, 272, 281, 277, 3732, 272, 26013, 759, 2217, 263, 16347, 7272, 641, 267, 476, 1321, 264, 1948, 3503, 3009, 547, 1711, 513, 3448, 4908, 27008, 1948, 5457, 547, 2322, 538, 25510, 607, 606, 4661, 1948, 5213, 1405, 946, 1022, 2688, 7801, 2203, 7272, 641, 26013, 476, 272, 281 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 5814, 8142, 532, 454, 5814, 942, 454, 5814, 4351, 692, 258, 1403, 519, 1871, 2016, 568, 1447, 982, 476, 271, 267, 28759, 568, 6659, 563, 9895, 7469, 648, 815, 8142, 532, 2529, 655, 7469, 648, 263, 271, 2020, 3698, 19901, 10031, 825, 1820, 3488, 8256, 10179, 476, 568, 7996, 269, 5073, 825, 5033, 7469, 648, 28482, 638, 790, 4590, 825, 1820, 3488, 8256, 10179, 281, 10057, 6221, 1297, 4939, 338, 262, 4939, 6221, 2020, 3698, 21277, 1356, 10031, 825, 2518, 6221, 454, 825, 942, 4732, 2748, 263, 1015, 994, 825, 6221, 815, 4351, 27110, 263, 271, 267, 1911, 271, 994, 825, 1820, 3488, 303, 1238, 1356, 281, 3812, 6221, 1297, 4939, 338, 262, 260, 14403, 994, 825, 5033, 7469, 648, 18622, 3161, 10797, 3698, 1292, 10031, 825, 585, 1775, 538, 2039, 263, 276, 2187, 1038, 512, 272, 815, 8142, 532, 269, 1320, 1348, 6025, 13759, 284, 303, 1238, 1356, 994, 1038, 512, 273, 815, 8142, 532, 269, 1320, 1348, 6025, 13759, 284, 8256, 10179, 994, 1038, 512, 272, 269, 11034, 4590, 1038, 512, 273, 269, 11034, 4590, 1038, 942, 4732, 2748, 9217, 994, 1038, 512, 272, 12459, 7765, 4590, 1038, 512, 273, 12459, 7765, 4590, 825, 1820, 3488, 32491, 2165, 3990, 9538, 9239, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1292, 4590, 0, 258, 13127, 376, 478, 274, 14748, 419, 374, 379, 31801, 489, 418, 490, 487, 419, 483, 356, 421, 350, 374, 31365, 19867, 497, 22287, 364, 27398, 476, 1015, 418, 361, 350, 267, 418, 490, 487, 419, 483, 356, 417, 28187, 31284, 7511, 25913, 25622, 20721, 510, 25622, 14395, 490, 29873, 10524, 375, 20693, 350, 454, 258, 13127, 505, 510, 20992, 419, 374, 379, 31801, 489, 19867, 356, 27310, 28793, 421, 504, 493, 10951, 374, 7511, 8147, 20721, 510, 25622, 20881, 504, 13213, 485, 26406, 356, 10254, 370, 419, 374, 379, 31801, 489, 420, 364, 481, 18021, 355, 31801, 489, 31365, 8147, 421, 506, 478, 28884, 17958, 28996, 29830, 373, 418, 362, 488, 7511, 25913, 25622, 454, 258, 13127, 364, 507, 13644, 499, 17958, 421, 498, 479, 14395, 490, 29873, 267, 20721, 510, 25622, 14395, 508, 27064, 364, 8147, 13213, 505, 31801, 489, 28793, 421, 504, 493, 10951, 374, 7511, 454, 5814, 8142, 532, 692, 6674, 815, 8142, 532, 10611, 299, 1442, 10797, 3698, 4147, 288, 10031, 825, 585, 9041, 538, 2039, 263, 1015, 2187, 1038, 9376, 28482, 638, 790, 4590, 1038, 1820, 3488, 288, 5073, 1038, 9376, 18622, 3161, 30800, 3698, 4147, 289, 10031, 825, 585, 9041, 538, 2039, 263, 1015, 2187, 1038, 9376, 28482, 638, 790, 4590, 1038, 1820, 3488, 289, 5073, 1038, 9376, 18622, 3161, 30800, 3698, 4147, 290, 10031, 825, 585, 9041, 538, 2039, 263, 1015, 2187, 1038, 9376, 28482, 638, 790, 4590, 1038, 1820, 3488, 290, 5073, 1038, 9376, 18622, 3161, 30800, 3698, 1292, 10031, 825, 512, 272, 815, 8142, 532, 269, 1320, 1348, 6025, 13759, 284, 12218, 288, 994, 825, 512, 273, 815, 8142, 532, 269, 1320, 1348, 6025, 13759, 284, 12218, 289, 994, 825, 512, 274, 815, 8142, 532, 269, 1320, 1348, 6025, 13759, 284, 12218, 290, 994, 825, 512, 272, 269, 11034, 4590, 825, 512, 273, 269, 11034, 4590, 825, 512, 274, 269, 11034, 4590, 825, 512, 272, 12459, 7765, 4590, 825, 512, 273, 12459, 7765, 4590, 825, 512, 274, 12459, 7765, 30800, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1292, 4590, 0, 320, 815, 476, 273, 454, 321, 815, 476, 273, 454, 322, 815, 513, 17070, 454, 323, 815, 513, 1532, 454, 324, 815, 513, 265, 321, 454, 325, 815, 513, 11486, 454, 326, 815, 513, 260, 321, 454, 327, 815, 513, 1262, 321, 454, 328, 815, 513, 2260, 321, 692, 2745, 6262, 267, 546, 267, 552, 267, 535, 267, 575, 267, 554, 267, 1775, 2020, 343, 815, 476, 273, 454, 343, 815, 834, 15383, 345, 4840, 2745, 3287, 2020, 332, 815, 834, 320, 273, 4840, 333, 815, 834, 320, 273, 4840, 334, 815, 544, 266, 333, 454, 2745, 263, 334, 2020, 325, 333, 6889, 629, 7251, 4840, 15238, 6889, 15383, 345, 5016, 4067, 815, 535, 333, 266, 257, 315, 339, 257, 266, 15238, 454, 2745, 28442, 2020, 2745, 12759, 28442, 11723, 258, 320, 284, 272, 454, 258, 321, 284, 273, 454, 258, 263, 320, 14720, 264, 815, 630, 321, 28083, 994, 28744, 5416, 14720, 2020, 320, 23785, 476, 273, 454, 2745, 5416, 994, 320, 268, 284, 476, 272, 454, 2745, 5416, 994, 320, 265, 284, 476, 273, 454, 2745, 5416, 994, 320, 270, 284, 476, 273, 454, 2745, 5416, 994, 320, 260, 284, 476, 273, 454, 2745, 5416, 994, 320, 1262, 284, 476, 273, 454, 2745, 5416, 994, 320, 2260, 284, 476, 273, 454, 2745, 5416, 2020, 338, 815, 476, 276, 692, 339, 815, 476, 273, 692, 320, 272, 815, 521, 1299, 512, 454, 320, 273, 815, 521, 1923, 512, 454, 320, 274, 815, 521, 9745, 512, 454, 320, 275, 815, 521, 24177, 512, 454, 320, 276, 815, 521, 23645, 512, 692, 2745, 5416, 272, 267, 513, 273, 267, 513, 274, 267, 513, 275, 267, 513, 276, 2020, 336, 815, 711, 263, 12148, 994, 2745, 32429, 2020, 11133, 815, 476, 1321, 454, 331, 815, 476, 1839, 568, 1003, 454, 2745, 10857, 994, 332, 815, 476, 1839, 568, 711, 1003, 454, 2745, 9852, 2020, 604, 476, 1839, 538, 1003, 10778, 825, 1820, 3488, 13433, 5073, 12828, 10778, 825, 1820, 3488, 7224, 10807, 0, 5814, 11885, 607, 5286, 692, 5228, 29976, 1104, 4147, 8595, 692, 7531, 5035, 22532, 15187, 1740, 263, 12218, 8595, 17107, 825, 15981, 274, 2000, 9707, 22532, 8416, 609, 1234, 299, 308, 11852, 1599, 18257, 692, 825, 1219, 6449, 8181, 9191, 1345, 267, 3403, 15481, 267, 4494, 318, 272, 15481, 267, 4494, 318, 273, 15481, 267, 1297, 15058, 318, 5035, 525, 2187, 1038, 1582, 6185, 815, 3403, 15481, 454, 1038, 1582, 13034, 272, 815, 4494, 318, 272, 15481, 454, 1038, 1582, 13034, 273, 815, 4494, 318, 273, 15481, 454, 1038, 1582, 5861, 815, 1297, 15058, 318, 5035, 525, 692, 1038, 1582, 269, 1706, 4461, 815, 31460, 1038, 1582, 269, 1706, 4461, 9131, 310, 272, 11172, 815, 5286, 20179, 20120, 333, 4311, 6185, 267, 1582, 13034, 272, 264, 2608, 5286, 28460, 263, 273, 32220, 1345, 6185, 994, 1038, 1582, 269, 1706, 4461, 9131, 310, 273, 11172, 815, 5286, 20179, 20120, 333, 4311, 13034, 272, 267, 1582, 13034, 273, 264, 2608, 5286, 28460, 263, 273, 32220, 1345, 13034, 272, 994, 1038, 1582, 269, 1706, 4461, 9131, 310, 274, 11172, 815, 5286, 20179, 20120, 333, 4311, 13034, 273, 267, 1582, 5861, 264, 2608, 5286, 28460, 263, 273, 32220, 1345, 13034, 273, 994, 1038, 1582, 269, 1706, 4461, 9131, 321, 272, 11172, 815, 5286, 269, 2158, 4311, 13034, 272, 264, 2608, 476, 271, 269, 4905, 454, 1038, 1582, 269, 1706, 4461, 9131, 321, 273, 11172, 815, 5286, 269, 2158, 4311, 13034, 273, 264, 2608, 476, 271, 269, 4905, 454, 1038, 1582, 269, 1706, 4461, 9131, 321, 274, 11172, 815, 5286, 269, 2158, 4311, 5861, 264, 2608, 476, 271, 269, 4905, 7531, 825, 1219, 5299, 4311, 2187, 1038, 562, 333, 815, 22532, 15187, 1740, 4311, 6185, 267, 1582, 13034, 272, 267, 1582, 13034, 273, 267, 1582, 5861, 994, 1038, 2132, 562, 333, 7531, 825, 1219, 5721, 4311, 2676, 23526, 2473, 2676, 23526, 586, 2676, 23526, 1565, 318, 3433, 284, 272, 324, 268, 278, 2676, 23526, 1565, 318, 3433, 318, 20657, 599, 284, 271, 269, 7176, 2676, 23526, 1036, 284, 272, 324, 268, 274, 2676, 23526, 1003, 318, 527, 619, 284, 4335, 2676, 23526, 16801, 15481, 15871, 272, 2676, 23526, 562, 284, 1911, 2676, 23526, 8231, 846, 25716, 17107, 1038, 586, 815, 1582, 11519, 7538, 1125, 9078, 629, 1564, 12169, 2020, 1038, 715, 267, 667, 815, 2473, 17482, 692, 1038, 2530, 318, 20931, 815, 11713, 1038, 585, 621, 538, 1535, 9792, 263, 272, 267, 1003, 318, 527, 619, 1341, 476, 272, 17107, 2018, 952, 16801, 15481, 11203, 910, 272, 912, 3546, 17523, 815, 5286, 20179, 26716, 4069, 18217, 267, 2450, 284, 321, 2255, 15481, 267, 5372, 18989, 994, 3546, 2473, 10734, 2255, 815, 2473, 314, 785, 1182, 2639, 3546, 586, 10734, 2255, 815, 586, 314, 785, 1182, 2639, 2018, 3116, 912, 3546, 2473, 10734, 2255, 815, 2473, 454, 3546, 586, 10734, 2255, 815, 586, 692, 2018, 2530, 267, 1178, 1091, 815, 1582, 7456, 1601, 11583, 10734, 2255, 267, 586, 10734, 2255, 267, 1036, 994, 2018, 2530, 318, 20931, 6910, 10857, 1601, 2020, 2018, 585, 4164, 12173, 538, 1582, 269, 1706, 4461, 912, 3546, 1582, 269, 1706, 4461, 314, 12407, 12173, 316, 20699, 1565, 318, 3433, 2608, 1178, 1091, 314, 12407, 12173, 6540, 2018, 952, 8231, 846, 543, 621, 4939, 476, 1911, 271, 2652, 476, 271, 912, 3546, 1820, 1412, 28375, 281, 4939, 323, 267, 2530, 281, 4939, 325, 262, 4939, 630, 527, 267, 2530, 2020, 2018, 952, 621, 4939, 562, 2652, 476, 271, 912, 3546, 1565, 318, 3433, 2608, 284, 1565, 318, 3433, 318, 20657, 599, 692, 1038, 2132, 5286, 15126, 10857, 1601, 318, 20931, 9239, 825, 1219, 3589, 4311, 267, 2473, 2187, 1038, 8464, 815, 1582, 4877, 9438, 5334, 13990, 11583, 2020, 1038, 586, 28177, 815, 5286, 27769, 10946, 263, 8464, 267, 7852, 284, 272, 12467, 1038, 2132, 5286, 269, 19066, 1125, 4311, 30419, 9078, 8475, 7565, 344, 28177, 9239, 825, 1219, 3589, 5334, 13990, 4311, 267, 2473, 2187, 1038, 654, 272, 267, 536, 272, 267, 654, 273, 267, 536, 273, 267, 654, 274, 267, 536, 274, 815, 630, 1345, 269, 1706, 4461, 9131, 310, 272, 11172, 2676, 14030, 476, 1582, 269, 1706, 4461, 9131, 321, 272, 11172, 2676, 14030, 476, 1582, 269, 1706, 4461, 9131, 310, 273, 11172, 2676, 14030, 476, 1582, 269, 1706, 4461, 9131, 321, 273, 11172, 2676, 14030, 476, 1582, 269, 1706, 4461, 9131, 310, 274, 11172, 2676, 14030, 476, 1582, 269, 1706, 4461, 9131, 321, 274, 262, 7481, 1038, 8464, 815, 5286, 27982, 3065, 263, 271, 2676, 23351, 5286, 27982, 3065, 263, 271, 2676, 14030, 11434, 2473, 31715, 263, 310, 272, 264, 1341, 536, 272, 1040, 25346, 263, 310, 273, 264, 1341, 536, 273, 1040, 25346, 263, 310, 274, 264, 1341, 536, 274, 454, 1038, 2132, 8464, 7531, 825, 1219, 2530, 4311, 267, 2473, 267, 586, 267, 1036, 284, 271, 17107, 1038, 715, 267, 9041, 815, 2473, 17482, 692, 1038, 654, 272, 267, 536, 272, 267, 654, 273, 267, 536, 273, 267, 654, 274, 267, 536, 274, 815, 630, 1345, 269, 1706, 4461, 9131, 310, 272, 11172, 2676, 14030, 476, 1582, 269, 1706, 4461, 9131, 321, 272, 11172, 2676, 14030, 476, 1582, 269, 1706, 4461, 9131, 310, 273, 11172, 2676, 14030, 476, 1582, 269, 1706, 4461, 9131, 321, 273, 11172, 2676, 14030, 476, 1582, 269, 1706, 4461, 9131, 310, 274, 11172, 2676, 14030, 476, 1582, 269, 1706, 4461, 9131, 321, 274, 11172, 2020, 1038, 1948, 7384, 6060, 28329, 1038, 554, 272, 5334, 13990, 815, 2473, 31715, 263, 310, 272, 264, 1341, 536, 272, 454, 1038, 554, 272, 23631, 1663, 567, 815, 5286, 27982, 3065, 263, 271, 267, 554, 272, 5334, 13990, 2020, 1038, 554, 273, 5334, 13990, 815, 554, 272, 23631, 1663, 31715, 263, 310, 273, 264, 1341, 536, 273, 454, 1038, 554, 273, 23631, 1663, 567, 815, 5286, 27982, 3065, 263, 271, 267, 554, 273, 5334, 13990, 2020, 1038, 8464, 815, 554, 273, 23631, 1663, 31715, 263, 310, 274, 264, 1341, 536, 274, 692, 1038, 796, 7538, 1242, 318, 2889, 2125, 815, 5286, 269, 10339, 4433, 13990, 994, 1038, 3339, 6500, 815, 5286, 27904, 263, 796, 7538, 1242, 318, 2889, 2125, 267, 7852, 284, 272, 15426, 31412, 8987, 272, 267, 476, 272, 994, 1038, 605, 2125, 815, 796, 7538, 1242, 318, 2889, 2125, 1315, 3339, 6500, 454, 1038, 2953, 9078, 8475, 318, 2889, 2125, 815, 605, 2125, 314, 12639, 30784, 1052, 18217, 1070, 586, 6540, 1038, 2530, 815, 5286, 27904, 263, 910, 12639, 28802, 6262, 8091, 9078, 8475, 318, 2889, 2125, 264, 12467, 1038, 2530, 1315, 284, 715, 454, 1038, 2530, 6834, 476, 271, 269, 276, 2608, 1036, 2608, 630, 5286, 27904, 263, 310, 272, 265, 310, 272, 264, 1341, 5286, 27904, 263, 310, 273, 265, 310, 273, 264, 1341, 5286, 27904, 263, 310, 274, 265, 310, 274, 264, 25589, 1038, 1948, 7384, 13506, 630, 3724, 335, 1886, 2020, 1038, 546, 338, 13990, 815, 605, 2125, 454, 1038, 546, 338, 13990, 314, 12639, 30784, 1052, 18217, 1070, 586, 316, 20699, 476, 272, 454, 1038, 546, 338, 13990, 1315, 284, 715, 692, 1038, 24563, 274, 815, 5286, 27904, 263, 1091 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4564, 8691, 1040, 4855, 519, 3070, 547, 519, 3830, 1269, 1001, 277, 1422, 12101, 323, 3554, 4637, 3726, 20867, 630, 277, 315, 12101, 323, 3554, 4637, 3726, 20867, 1535, 6661, 1911, 269, 14204, 296, 5469, 602, 519, 2016, 3830, 3322, 519, 9352, 5106, 4399, 323, 3554, 4637, 3726, 259, 4294, 547, 476, 1001, 277, 267, 476, 277, 267, 543, 1535, 269, 594, 4898, 952, 594, 666, 946, 519, 2016, 3601, 540, 4399, 323, 3554, 4637, 3726, 259, 547, 14458, 713, 3830, 11214, 269, 594, 5469, 602, 519, 1101, 3959, 3081, 602, 1269, 320, 315, 12101, 323, 3554, 4637, 3726, 20867, 630, 321, 315, 12101, 323, 3554, 4637, 3726, 22773, 322, 264, 815, 630, 320, 315, 12101, 323, 3554, 4637, 3726, 22773, 321, 9385, 10383, 524, 8961, 865, 594, 666, 946, 713, 547, 27682, 519, 2451, 11804, 2427, 540, 519, 3830, 607, 18159, 1001, 277, 315, 12101, 323, 3554, 4637, 3726, 20867, 476, 277, 9385, 10383, 1535, 10608, 3767, 519, 3830, 3587, 18159, 1001, 277, 315, 12101, 323, 3554, 4637, 3726, 20867, 476, 277, 9385, 10383, 1535, 284, 1911, 10608, 594, 1869, 991, 547, 4137, 856, 1018, 1269, 1001, 277, 315, 12101, 323, 3554, 4637, 3726, 20867, 476, 277, 259, 568, 269, 594, 5469, 602, 519, 2034, 3959, 3081, 602, 1269, 320, 315, 12101, 323, 3554, 4637, 3726, 22773, 320, 284, 272, 259, 585, 782, 1875, 14706, 1483, 2338, 1269, 320, 8961, 865, 594, 666, 946, 555, 328, 10640, 763, 1650, 1058, 1331, 281, 3097, 268, 18990, 4690, 610, 9644, 281, 4685, 883, 1808, 12348, 267, 4690, 267, 610, 14973, 3871, 3097, 268, 1323, 6397, 4729, 6335, 610, 2502, 4655, 281, 6338, 513, 11541, 2943, 4101, 3510, 610, 14196, 602, 519, 2278, 5185, 269, 3097, 268, 14506, 543, 5813, 281, 1439, 609, 513, 6571, 602, 3091, 513, 1007, 1620, 267, 513, 2631, 540, 2146, 267, 610, 513, 2123, 13414, 267, 1454, 899, 519, 8753, 6537, 538, 8468, 5717, 563, 9359, 519, 1650, 1318, 2476, 269, 1684, 711, 1376, 609, 5220, 899, 476, 834, 5629, 2390, 513, 942, 257, 607, 713, 568, 513, 14703, 2022, 543, 711, 513, 3209, 267, 596, 1058, 849, 2057, 4358, 609, 5929, 5220, 899, 834, 288, 1906, 1296, 3516, 257, 610, 834, 288, 1906, 1296, 1394, 2580, 581, 3860, 269, 0, 3848, 7170, 281, 14929, 20553, 519, 26812, 3215, 2622, 540, 681, 13741, 1080, 2439, 15916, 267, 2104, 15529, 4966, 256, 1411, 1522, 1589, 596, 2907, 917, 3833, 513, 3787, 827, 17544, 910, 1310, 782, 267, 789, 2811, 2770, 27918, 267, 20036, 267, 543, 789, 2648, 17436, 267, 1318, 286, 4270, 267, 3180, 5196, 707, 16295, 1317, 972, 781, 865, 1454, 811, 547, 3605, 827, 891, 4241, 7068, 256, 2913, 781, 7832, 593, 513, 3460, 998, 476, 1789, 5863, 15529, 5013, 602, 786, 4734, 596, 27086, 543, 11235, 547, 1451, 811, 2439, 4131, 781, 1376, 609, 1945, 3579, 281, 1705, 596, 917, 602, 17544, 723, 2706, 335, 10062, 10772, 286, 3143, 267, 789, 666, 1405, 8038, 630, 933, 6999, 256, 1070, 855, 789, 27114, 17967, 741, 10772, 513, 2407, 476, 5197, 5232, 256, 5994, 1373, 2111, 547, 2490, 707, 10772, 899, 513, 16986, 8670, 547, 12398, 10502, 1141, 513, 3280, 568, 4947, 689, 256, 2334, 1131, 9090, 2097, 538, 13561, 1282, 513, 3014, 540, 12404, 7146, 5498, 2131, 267, 9327, 1405, 621, 286, 901, 6909, 5578, 2337, 17544, 3251, 2922, 676, 16326, 11975, 3533, 780, 3086, 267, 4605, 3054, 3843, 547, 5873, 513, 6263, 10856, 2695, 324, 752, 689, 2066, 519, 4055, 269, 2372, 924, 4101, 267, 26001, 286, 1280, 17544, 267, 1498, 267, 621, 781, 1175, 1776, 1554, 693, 519, 6288, 256, 4256, 1804, 267, 1940, 762, 10772, 5749, 1405, 1175, 1390, 585, 4287, 531, 6217, 282, 789, 849, 948, 1832, 17544, 8799, 543, 3579, 1282, 1346, 3905, 4832, 2395, 269, 10552, 8043, 3330, 741, 10772, 10110, 3002, 267, 3850, 17544, 547, 2226, 519, 3501, 1560, 2837, 269, 1215, 16517, 568, 602, 31841, 3719, 7227, 267, 972, 781, 811, 256, 3807, 607, 3425, 4866, 547, 1585, 6803, 2516, 267, 17544, 2097, 538, 1114, 5546, 267, 7306, 267, 543, 4778, 1932, 256, 1703, 616, 936, 476, 4335, 3982, 15529, 14981, 5001, 256, 2368, 5577, 1472, 30780, 899, 3440, 518, 21590, 267, 1247, 1866, 1413, 899, 789, 4312, 5734, 519, 15547, 543, 13557, 539, 909, 256, 1656, 7058, 1018, 286, 3962, 9742, 814, 922, 2189, 4162, 267, 14789, 267, 543, 28031, 802, 602, 1118, 873, 3063, 2027, 269, 1924, 2436, 596, 16681, 1507, 267, 21221, 17544, 610, 2972, 519, 2754, 540, 3677, 3283, 267, 972, 781, 3808, 547, 581, 513, 1625, 337, 2739, 6474, 585, 3025, 2439, 12441, 2576, 2161, 834, 8364, 12783, 22172, 2986, 1576, 267, 649, 7948, 1405, 11716, 519, 2085, 6040, 2243, 281, 798, 17544, 700, 10976, 292, 17436, 286, 2755, 645, 13903, 645, 22324, 1500, 721, 3494, 6382, 267, 17544, 2965, 991, 513, 7059, 2732, 9967, 5631, 540, 18720, 585, 6099, 12536, 543, 5959, 1072, 269, 2961, 12783, 543, 5613, 1058, 1152, 2272, 585, 827, 476, 1015, 260, 540, 741, 3232, 6981, 2094, 789, 2270, 1164, 2157, 540, 4006, 269, 5808, 6785, 645, 13903, 7012, 1405, 1739, 513, 1697, 6484, 1544, 286, 7937, 267, 645, 13903, 13718, 7661, 267, 875, 1279, 798, 17544, 2661, 286, 3509, 1004, 8263, 789, 723, 2110, 12468, 335, 753, 1813, 547, 741, 2450, 267, 855, 11255, 4620, 17544, 666, 2661, 1063, 5216, 547, 12964, 1296, 593, 3328, 256, 1717, 267, 2921, 1434, 1416, 540, 873, 3322, 3246, 7899, 540, 3635, 2230, 267, 1514, 5872, 267, 18915, 2638, 5725, 267, 543, 513, 1134, 28394, 2331, 2732, 269, 5457, 267, 1169, 536, 22324, 19262, 513, 6126, 267, 2635, 1753, 2439, 23558, 256, 3767, 596, 4312, 21783, 689, 12071, 742, 12682, 841, 2160, 609, 26549, 256, 9523, 891, 9735, 15529, 5013, 609, 1920, 543, 2828, 543, 4585, 607, 741, 4064, 1769, 909, 609, 10761, 269, 8080, 547, 519, 8748, 1158, 540, 17544, 910, 513, 7706, 4904, 609, 11995, 2759, 8864, 267, 7279, 267, 543, 524, 3291, 956, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 4599, 23605, 616, 835, 540, 519, 1034, 32620, 2831, 856, 972, 267, 2943, 649, 1419, 1810, 1406, 917, 1454, 827, 873, 269, 1358, 4749, 1397, 909, 538, 4948, 3332, 543, 8874, 267, 855, 1256, 1287, 519, 1082, 5013, 827, 17544, 1031, 538, 741, 2984, 666, 581, 513, 2370, 27967, 269, 898, 779, 942, 547, 32260, 938, 1702, 950, 621, 2501, 547, 891, 17175, 1814, 1562, 256, 769, 713, 2376, 267, 594, 786, 2671, 476, 1789, 15529, 5013, 602, 596, 4465, 1406, 1265, 9170, 3116, 1765, 30440, 2386, 547, 993, 10270, 707, 2828, 543, 8284, 536, 22324, 12439, 7567, 269, 3245, 4189, 6208, 267, 2168, 7592, 267, 2010, 540, 14981, 267, 1272, 19104, 267, 543, 824, 1187, 22619, 23605, 1107, 1577, 779, 4685, 883, 930, 2731, 15813, 15529, 5013, 2336, 305, 13741, 1080, 666, 17967, 741, 10772, 476, 5197, 5232, 547, 22942, 519, 3169, 4087, 689, 799, 513, 3280, 568, 4947, 454, 5970, 596, 2479, 1044, 3544, 593, 513, 9602, 1554, 267, 4862, 513, 25861, 15309, 1782, 267, 543, 17388, 547, 4137, 856, 1141, 519, 3280, 729, 4947, 689, 286, 681, 13741, 1080, 1810, 1406, 723, 602, 1966, 269, 2060, 741, 7415, 2702, 547, 17967, 741, 10772, 476, 5197, 5232, 267, 789, 666, 22942, 519, 3169, 4087, 540, 1256, 519, 25861, 652, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 5149, 476, 277, 281, 6008, 2086, 6064, 18521, 777, 3547, 1107, 19484, 519, 3955, 21827, 540, 3163, 11470, 267, 26135, 267, 543, 3778, 538, 12634, 22383, 543, 18753, 26358, 692, 1103, 713, 1770, 267, 649, 5490, 883, 519, 4241, 7706, 540, 2848, 2086, 6064, 14676, 543, 8642, 9089, 267, 3695, 875, 789, 954, 933, 1511, 2609, 540, 2257, 5708, 267, 14810, 267, 1686, 267, 543, 4244, 20304, 547, 1711, 15138, 10600, 602, 25407, 3988, 269, 1284, 4983, 1883, 3344, 540, 891, 6386, 267, 1519, 741, 3308, 15312, 267, 21044, 4145, 267, 543, 2189, 2686, 4644, 1369, 4207, 2442, 2528, 269, 901, 1770, 849, 20217, 596, 547, 2992, 2390, 707, 1378, 10054, 827, 2029, 267, 3356, 267, 543, 8103, 781, 2078, 609, 922, 2250, 543, 2104, 780, 4089, 476, 272, 281, 634, 10439, 5678, 540, 6008, 2086, 6064, 22383, 692, 2414, 2253, 938, 3460, 998, 2848, 2086, 6064, 15413, 3547, 267, 621, 568, 1898, 547, 1174, 519, 10058, 3308, 6863, 6964, 676, 5159, 2324, 538, 713, 9135, 269, 10886, 1242, 676, 6946, 12227, 267, 14969, 24853, 267, 543, 16972, 268, 5028, 5468, 29689, 609, 28531, 4066, 267, 2848, 2086, 6064, 14676, 1459, 3638, 569, 2143, 5054, 602, 4161, 6671, 11269, 540, 942, 543, 2230, 780, 272, 269, 272, 26682, 543, 31469, 454, 288, 3844, 4183, 540, 2848, 2086, 6064, 14676, 568, 519, 19511, 26007, 540, 6191, 543, 6127, 13324, 676, 9252, 610, 9219, 1740, 3457, 2864, 982, 5201, 269, 1452, 18563, 1419, 6451, 5214, 2326, 971, 607, 3574, 267, 21567, 267, 16463, 267, 543, 4837, 267, 2870, 606, 12716, 10103, 1063, 2470, 543, 2872, 269, 1306, 596, 5659, 891, 1568, 267, 2015, 875, 891, 3308, 5079, 3565, 547, 519, 9423, 1184, 543, 3337, 5467, 11994, 540, 6639, 13120, 780, 272, 269, 273, 8779, 11167, 543, 22960, 454, 5194, 2565, 2460, 540, 2848, 2086, 6064, 14676, 6013, 538, 519, 3063, 341, 698, 656, 30933, 12816, 676, 3197, 7610, 1746, 891, 14595, 5203, 525, 269, 14301, 6667, 689, 16972, 6752, 267, 891, 23157, 4749, 9192, 3140, 6111, 609, 3860, 23118, 267, 4611, 538, 11617, 11495, 856, 22327, 602, 11168, 23141, 543, 2123, 4082, 269, 6333, 519, 1909, 28076, 1374, 4249, 538, 14335, 1915, 9163, 543, 14379, 1514, 25327, 1369, 891, 14070, 7239, 780, 272, 269, 274, 11629, 1116, 5071, 543, 12124, 28805, 454, 7661, 267, 2628, 2673, 3007, 547, 519, 11265, 6163, 543, 4683, 8916, 13269, 538, 2848, 2086, 6064, 14676, 269, 10705, 16471, 1483, 8996, 6753, 609, 23019, 6272, 267, 891, 5624, 4196, 607, 15889, 19183, 540, 519, 9135, 781, 840, 21232, 566, 609, 556, 19960, 1456, 1686, 543, 19424, 532, 2009, 20304, 269, 31385, 875, 891, 8901, 19383, 3310, 2239, 1646, 543, 4497, 3988, 538, 14719, 908, 519, 6286, 540, 1114, 8739, 14482, 1013, 1670, 24551, 780, 4089, 476, 273, 281, 10289, 21771, 543, 8211, 3098, 538, 6008, 2086, 6064, 15881, 2510, 692, 19741, 741, 9159, 23877, 267, 2848, 2086, 6064, 14676, 2232, 1950, 4798, 543, 19237, 602, 13469, 609, 4207, 9458, 269, 3414, 2502, 2984, 1305, 1996, 1394, 323, 28979, 540, 4853, 4838, 267, 22030, 267, 543, 3621, 6602, 267, 891, 5931, 5401, 8086, 593, 10296, 2152, 4478, 7881, 267, 1379, 6384, 267, 543, 1480, 8116, 780, 273, 269, 272, 15979, 540, 5303, 543, 18776, 454, 3080, 18596, 6249, 538, 2848, 2086, 6064, 14676, 3322, 15819, 519, 13919, 540, 31250, 6639, 13120, 269, 1635, 9306, 28531, 6191, 7258, 741, 1761, 4539, 267, 4589, 5000, 3988, 547, 9691, 6218, 519, 1764, 540, 6932, 4066, 593, 2486, 543, 1604, 269, 9181, 8320, 1141, 2848, 2086, 6064, 6386, 20920, 609, 5683, 21140, 2404, 609, 5647, 543, 3356, 780, 273, 269, 273, 5295, 17716, 543, 15875, 1143, 454, 17556, 2086, 6064, 14676, 849, 1683, 15417, 2666, 585, 6313, 1894, 540, 1379, 543, 28735, 267, 3226, 538, 6935, 547, 19525, 543, 11440, 7269, 269, 769, 1082, 2665, 267, 891, 5931, 1016, 3200, 2757, 6386, 540, 5375, 27166, 267, 3079, 10223, 519, 16160, 2360, 540, 11440, 27606, 543, 14957, 585, 811, 12581, 2518, 12352, 269, 25826, 1806, 1141, 2848, 2086, 6064, 14676, 13720, 30566, 545, 3889, 543, 3895, 4244, 12331, 540, 5872, 780, 273, 269, 274, 5274, 10837, 543, 8682, 5937, 20986, 454, 15563, 267, 2015, 875, 2848, 2086, 6064, 14676, 2263, 2055, 540, 1480, 13190, 543, 1582, 24148, 9624, 6385, 4657, 1914, 27370, 673, 1949, 269, 3414, 28402, 540, 14388, 23233, 10188, 30217, 748, 2797, 8916, 267, 891, 6386, 20838, 519, 2956, 540, 4509, 1852, 936, 835, 781, 22038, 1256, 950, 5185, 609, 9583 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8422, 2818, 540, 713, 22800, 8370, 17907, 5858, 8593, 585, 519, 2085, 31455, 269, 634, 25430, 5921, 2799, 1379, 585, 519, 7022, 543, 5428, 6205, 13535, 808, 842, 7776, 267, 945, 814, 5249, 609, 9149, 3223, 336, 21628, 585, 513, 1279, 942, 563, 268, 2098, 26907, 306, 25703, 281, 1215, 547, 1104, 689, 3624, 286, 901, 3135, 6227, 2472, 547, 1104, 267, 1104, 532, 3631, 267, 18261, 27126, 267, 543, 1104, 10279, 563, 295, 340, 808, 842, 7776, 1767, 538, 1010, 1804, 18322, 1308, 4633, 602, 3624, 1590, 3136, 547, 1902, 538, 28043, 519, 7934, 1063, 3638, 543, 4057, 269, 1717, 267, 621, 4797, 547, 2333, 269, 4014, 6917, 4747, 2965, 2799, 10169, 267, 519, 3017, 8057, 607, 519, 3638, 2968, 1256, 21950, 269, 634, 1249, 602, 3624, 779, 1647, 543, 5580, 5049, 8057, 729, 8068, 538, 519, 1286, 6455, 269, 2986, 19864, 779, 476, 1428, 2929, 7264, 1631, 723, 476, 273, 2929, 6517, 269, 13535, 808, 842, 7776, 1767, 538, 1010, 4633, 602, 519, 2197, 779, 2208, 814, 1942, 1932, 1454, 538, 2825, 12159, 543, 1514, 15523, 269, 968, 4131, 779, 960, 2182, 547, 1628, 513, 9793, 543, 3811, 2486, 2223, 646, 1767, 563, 763, 4250, 540, 4457, 3401, 568, 23986, 908, 519, 4346, 269, 12654, 2208, 729, 1360, 1164, 1282, 519, 1032, 1107, 936, 476, 1556, 2600, 269, 5606, 3175, 729, 849, 1713, 1107, 476, 277, 269, 276, 2600, 269, 11048, 267, 519, 6364, 585, 519, 1032, 607, 513, 2898, 4797, 547, 581, 7123, 563, 5278, 2318, 3466, 267, 2705, 267, 616, 20559, 539, 281, 513, 3126, 540, 27193, 9398, 1705, 2014, 2101, 7063, 267, 855, 1152, 3368, 607, 1082, 25096, 607, 968, 7538, 892, 12405, 1107, 827, 476, 272, 267, 1911, 3379, 547, 7363, 936, 476, 273, 267, 1822, 10756, 4913, 267, 519, 11685, 729, 1869, 5230, 269, 589, 19433, 673, 2357, 18743, 729, 5293, 1996, 3540, 2924, 19191, 2871, 334, 3171, 1460, 542, 326, 269, 1261, 729, 2016, 2947, 1296, 585, 1603, 513, 1433, 593, 13313, 1107, 519, 1360, 1514, 7613, 602, 13535, 808, 842, 7776, 4481, 6499, 547, 4339, 563, 4913, 267, 2509, 519, 1439, 540, 519, 1032, 267, 13535, 808, 842, 7776, 8118, 513, 5188, 609, 519, 5216, 1507, 6105, 602, 941, 4847, 547, 723, 513, 30034, 6228, 7258, 519, 19797, 9549, 269, 11153, 9565, 1870, 5443, 543, 19174, 960, 538, 891, 26124, 6105, 269, 13535, 808, 842, 7776, 814, 14578, 9206, 3022, 585, 5717, 609, 1585, 2146, 2516, 827, 519, 1646, 563, 763, 5518, 10272, 13785, 538, 4873, 269, 1261, 14612, 1063, 14351, 27048, 267, 1141, 519, 10424, 7008, 4607, 267, 543, 20944, 1156, 7921, 267, 1141, 646, 10272, 519, 5101, 28851, 16027, 20944, 1156, 7921, 269, 1261, 9411, 883, 606, 6876, 593, 5796, 593, 2825, 2152, 543, 513, 9649, 4579, 609, 18238, 26856, 4502, 10323, 298, 476, 278, 5479, 563, 763, 16528, 2021, 779, 13558, 2319, 4682, 547, 519, 2622, 19067, 538, 5181, 538, 5181, 609, 1164, 13922, 269, 1717, 267, 891, 3357, 547, 17847, 269, 968, 306, 14954, 880, 892, 5182, 6742, 320, 5129, 585, 1200, 1753, 2197, 8478, 543, 5449, 2319, 23071, 25795, 6390, 12358, 753, 7288, 10370, 325, 832, 1071, 3737, 918, 779, 2319, 269, 1703, 729, 1100, 1404, 26160, 563, 28082, 17600, 849, 7018, 538, 476, 1220, 278, 267, 855, 711, 607, 1376, 1782, 607, 1354, 269, 634, 10782, 729, 1310, 519, 8009, 602, 10645, 476, 15094, 2729, 538, 519, 1744, 663, 784, 9553, 269, 4039, 2510, 986, 3022, 827, 519, 8128, 15646, 23395, 782, 5539, 543, 4330, 519, 8009, 607, 513, 2067, 9568, 267, 607, 4764, 3361, 513, 6360, 540, 5755, 5599, 563, 1103, 519, 2749, 540, 2098, 26907, 345, 17924, 538, 9456, 3624, 267, 476, 736, 267, 1822, 7264, 10692, 1996, 7128, 3843, 547, 5397, 1004, 856, 540, 8075, 602, 1131, 581, 23542, 1639, 585, 513, 4155, 4070, 563, 763, 16727, 10632, 941, 513, 2101, 1888, 585, 782, 918, 8128, 269, 634, 4139, 16727, 9730, 6829, 922, 1390, 9547, 609, 519, 21339, 543, 1201, 11712, 689, 7679, 1359, 609, 1480, 2924, 269, 3624, 19864, 16219, 31749, 3354, 11974, 585, 519, 10632, 4864, 476, 279, 268, 2190, 267, 476, 1220, 279, 1107, 17697, 13178, 547, 2061, 13311, 19183, 563, 13828, 2549, 333, 17965, 4139, 543, 5274, 7126, 13772, 1843, 539, 547, 3624, 779, 1082, 4291, 1903, 543, 519, 20655, 540, 29926, 619, 543, 20859, 269, 23168, 1227, 267, 621, 568, 711, 827, 1082, 29802, 20859, 1107, 1152, 476, 3374, 1107, 855, 519, 2366, 9760, 568, 2808, 4617, 543, 519, 10751, 1279, 563, 19770, 814, 16219, 547, 556, 7721, 8533, 1169, 2669, 4845, 1354, 11056, 547, 2057, 3656, 26418, 618, 269, 769, 2904, 267, 4123, 538, 8219, 585, 7443, 729, 849, 17049, 269, 13079, 3176, 4703, 1058, 1631, 1152, 581, 2016, 547, 2673, 14077, 269, 901, 729, 513, 1129, 540, 930, 2799, 2463, 585, 1480, 2924, 563, 4002, 519, 824, 1688, 267, 3624, 4951, 2698, 967, 29924, 547, 6057, 538, 824, 2477, 269, 769, 5130, 267, 13535, 808, 842, 7776, 24389, 593, 513, 4663, 540, 8370, 3979, 2477, 543, 729, 5180, 569, 19443, 676, 22309, 20816, 971, 607, 20528, 543, 25472, 269, 634, 3804, 540, 519, 10470, 568, 547, 23144, 3282, 585, 519, 1648, 3620, 2426, 787, 3624, 3767, 3979, 3282, 4564, 476, 1789, 2600, 540, 3624, 779, 3282, 20558, 269, 3624, 814, 29633, 9604, 547, 1312, 1368, 20482, 8759, 2516, 543, 6608, 538, 4000, 269, 7439, 729, 8738, 332, 1690, 2863, 534, 779, 4049, 1065, 1833, 540, 519, 31494, 23405, 538, 5181, 2808, 676, 3624, 547, 2285, 4473, 547, 1022, 5309, 1438, 2268, 563, 20245, 12159, 729, 513, 1966, 1354, 519, 21396, 281, 519, 1159, 690, 538, 1034, 4872, 568, 865, 10053, 602, 621, 568, 13818, 547, 1072, 269, 2657, 1416, 3790, 723, 24111, 543, 2860, 568, 1631, 519, 1034, 1455, 2014, 540, 2669, 538, 3624, 269, 2368, 13013, 8371, 616, 12219, 1317, 540, 519, 3983, 2011, 269, 11048, 267, 3624, 729, 3500, 950, 621, 3357, 547, 26823, 2471, 547, 2569, 5434, 269, 4340, 547, 519, 10656, 7025, 10495, 10837, 631, 23259, 267, 3624, 814, 8854, 827, 519, 2136, 2276, 538, 2810, 8511, 3154, 5434, 563, 1103, 5130, 267, 3624, 13264, 1524, 1010, 1378, 4365, 9682, 609, 513, 1134, 268, 2727, 539, 8773, 269, 901, 3361, 1390, 6161, 538, 519, 2475, 602, 3624, 1223, 849, 1159, 1662, 1977, 22342, 11608, 269, 3624, 849, 7307, 547, 1205, 519, 7599, 9682, 26284, 685, 324, 268, 594, 267, 3957, 1310, 513, 7599, 15831, 563, 18661, 12549, 729, 849, 7323, 3624, 267, 519, 7323, 2622, 21139, 2219, 1107, 1352, 4465, 519, 16311, 267, 4371, 593, 519, 4457, 9702, 6532, 670, 664, 534, 538, 5437, 1107, 5412, 563, 19770, 4365, 538, 4728, 267, 4989, 543, 2904, 454, 30182, 3232, 5210, 1063, 476, 273, 11019, 595, 543, 476, 2764, 11019, 595, 666, 581, 4397, 936, 519, 1985, 1614, 3275, 269, 2904, 568, 7646, 652, 538, 5839, 879, 267, 1247, 4728, 568, 5469, 2406, 21617, 538, 4498, 16535, 269, 634, 5210, 538, 18961, 7315, 616, 1063, 476, 1428, 543, 476, 2918, 11019, 595, 267, 538, 5839, 879, 1063, 476, 736, 543, 476, 2764, 11019, 595, 267, 538, 20629, 3258, 1063, 476, 1691, 543, 476, 2767, 11019, 595, 267, 538, 31311, 2719, 1063, 476, 736, 543, 476, 1839, 11019, 595, 543, 538, 4498, 16535, 1063, 476, 273, 543, 476, 2641, 11019, 595, 563, 2710, 596, 1616, 547, 979, 593, 513, 11824, 9702, 286, 634, 1216, 5210, 616, 538, 4728, 267, 4989, 543, 2904, 476, 1704, 268, 2190, 11019, 595, 269, 901, 568, 1434, 4365, 585, 513, 1390, 942, 593, 519, 11824, 543, 538, 519, 1216, 563, 1103, 4728, 621, 22856, 585, 476, 274, 630, 298, 684, 2719, 264, 547, 476, 1556, 2395, 630, 310, 340, 7315, 1070, 538, 4989, 585, 476, 275, 630, 298, 684, 2719, 264, 547, 476, 1321, 2395, 630, 310, 340, 7315, 264, 543, 538, 2904, 585, 476, 280, 630, 298, 684, 2719, 264, 547, 476, 1321, 2395, 630, 310, 340, 7315, 1070, 4470, 593, 519, 3148, 563, 1103, 519, 1974, 689, 4728, 547, 2904, 267, 519, 3141, 31438, 593, 3328, 1063, 476, 271, 543, 476, 280, 3108, 513, 1554, 269, 634, 3141, 333, 5006, 4365, 568, 538, 2904, 538, 20629, 3258, 267, 609, 1447, 3141, 596, 786, 723, 547, 1205, 676, 538, 4498, 16535, 538, 4728, 269, 0, 293, 518, 9317, 23253, 267, 5682, 3857, 686, 565, 267, 11635, 3857, 686, 565, 267, 21019, 553, 267, 9253, 534, 614, 924, 267, 590, 345, 558, 565, 333, 758, 924, 454, 1839, 918, 326, 20045, 454, 293, 518, 9317, 590, 5285, 622, 3933, 334, 5139, 3433, 568, 9286, 607, 606, 5214, 7623, 1031, 607, 513, 2707, 540, 4401, 269, 12113, 9317, 23253, 1395, 334, 5139, 3433, 568, 4122, 1031, 607, 513, 2126, 547, 4401, 12413, 11351, 538, 1312, 3425, 543, 2831, 269, 12113, 9317, 23253, 568, 9425, 1875, 3562, 13877, 269, 898, 814, 513, 1909, 607, 513, 2428, 15869, 11472, 267, 606, 4550, 268, 3570, 2438, 8665, 543, 513, 4227, 8665, 563, 10048, 3011, 1005, 1184, 540, 7542, 9317, 23253, 1395, 334, 5139, 3433, 2882, 1079, 2101, 3268, 912, 5416, 264, 3689, 568, 32232, 513, 2707, 540, 4401, 609, 606, 25694, 3070, 540, 20962, 584, 545, 3679, 538, 693, 2547, 513, 1101, 5114, 6077, 267, 547, 3489, 513, 1184, 4508, 528, 16030, 7542, 9317, 20962, 622, 543, 3679, 3070, 454, 6357, 264, 5822, 568, 9256, 519, 1184, 4508, 528, 609, 13671, 20962, 584, 545, 3679, 538, 513, 11544, 6077, 267, 4929, 519, 3070, 547, 1582, 16358, 1125, 267, 3976, 8108, 513, 1793, 25744, 16030, 26543, 7542, 9317, 23253, 1395, 334, 5139, 3433, 269, 634, 1793, 25744, 666, 581, 10736, 547, 7542, 878, 20962, 622, 563, 293, 518, 9317, 23253, 3933, 334, 5139, 3433, 568, 4922, 1031, 607, 3171, 630, 1241, 264, 2707, 538, 3662, 3049, 269, 898, 2337, 8156, 17350, 543, 519, 2589, 540, 4401, 10638, 538, 3662, 269, 11635, 814, 606, 1271, 1909, 538, 519, 5250, 540, 2699, 1973, 2281, 538, 2831, 269, 898, 849, 3560, 338, 5135, 998, 519, 688, 655, 18331, 543, 3812, 1648, 998, 6475, 4483, 538, 519, 24197, 7929, 5832, 269, 12113, 9317, 647, 680, 325, 622, 1395, 334, 5139, 3433, 568, 5078, 585, 2220, 710, 267, 16738, 267, 536, 990, 1149, 267, 543, 824, 3662, 2249, 269, 0, 1432, 568, 16463, 888, 8867, 1430, 568, 519, 12404, 610, 2960, 540, 2831, 602, 814, 1044, 512, 10165, 269, 570, 8911, 2306, 519, 554, 1938, 543, 32675, 2571, 543, 8465, 269, 634, 554, 1938, 616, 2048, 322, 3293, 685, 610, 12873, 1354, 512, 8911, 269, 1280, 713, 519, 32675, 616, 2892, 1540, 269, 2991, 512, 8911, 267, 14589, 525, 267, 759, 1231, 267, 7387, 659, 267, 3092, 269, 616, 1031, 547, 2285, 513, 21743, 1198, 269, 667, 13433, 616, 1031, 585, 7990, 532, 269, 670, 1938, 610, 32675, 540, 16933, 267, 23161, 267, 14918, 267, 9640, 267, 15315, 267, 32613, 2209, 267, 3092, 269, 616, 1031, 547, 1118, 16463, 269, 0, 301, 22022, 3388, 32084, 3081, 8761, 1010, 3668, 540, 1702, 269, 32084, 3081, 267, 968, 8005, 1197, 23689, 1864, 949, 849, 6999, 547, 19439, 803, 892, 630, 16928, 268, 9610, 1040, 769, 713, 835, 8360, 267, 32084, 2982, 519, 5304, 602, 646, 1281, 711, 917, 945, 7166, 519, 4622, 267, 585, 646, 1131, 711, 2097, 547, 19439, 5128, 269, 1261, 3081, 646, 786, 3406, 856, 519, 4267, 968, 553, 952, 585, 1250, 1378, 4651, 892, 630, 31696, 1070, 950, 4401, 1227, 602, 568, 10502, 1018, 646, 568, 3257, 269, 1879, 6158, 827, 519, 12556, 540, 519, 22646, 16519, 15294, 19907, 267, 32084, 3081, 621, 786, 711, 581, 16970, 269, 1717, 267, 519, 5467, 9060, 856, 2663, 602, 646, 5932, 585, 5128, 1018, 949, 581, 2808, 513, 811, 4049, 10751, 268, 1085, 18732, 1010, 4064, 269, 12344, 519, 1034, 4401, 545, 543, 1079, 24670, 1383, 540, 20451, 568, 602, 32084, 10404, 3278, 570, 2231, 5362, 585, 1373, 9308, 9420, 269, 634, 812, 949, 711, 454, 306, 2684, 28965, 2829, 602, 968, 3719, 519, 1688, 602, 13351, 1250, 4064, 729, 9553, 267, 9553, 4805, 734, 7224, 835, 3116, 734, 594, 1705, 621, 782, 8885, 17373, 630, 302, 20268, 268, 16409, 280, 268, 15704, 272, 1040, 32084, 568, 26539, 909, 547, 1010, 1378, 3527, 543, 20964, 1010, 1378, 2631, 540, 5837, 5539, 1317, 646, 1281, 711, 16620, 519, 10971, 585, 1018, 5949, 267, 855, 5128, 269, 1261, 3081, 602, 968, 1492, 1688, 602, 13351, 1250, 4064, 892, 941, 1010 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1689, 538, 1699, 998, 519, 16509, 269, 634, 8701, 640, 540, 713, 13251, 6453, 11148, 547, 3715, 513, 1699, 538, 519, 16509, 602, 7472, 513, 13441, 602, 786, 28586, 1022, 1689, 538, 519, 3312, 13441, 269, 769, 824, 1913, 267, 519, 13251, 1198, 18121, 324, 3709, 785, 4151, 264, 568, 513, 1267, 540, 519, 2810, 1699, 998, 519, 16509, 607, 3254, 538, 8431, 269, 476, 273, 269, 1717, 267, 519, 4611, 13251, 6453, 786, 4043, 547, 3715, 513, 1699, 602, 786, 28586, 519, 2810, 1689, 538, 1699, 998, 519, 16509, 269, 5901, 538, 2247, 602, 713, 568, 782, 9648, 8195, 269, 634, 8216, 519, 1699, 5956, 547, 2333, 538, 9588, 267, 972, 786, 581, 606, 15852, 1198, 3843, 547, 3970, 519, 1689, 269, 898, 568, 834, 577, 3183, 257, 519, 1689, 538, 1699, 998, 519, 16509, 269, 9747, 267, 519, 2165, 1781, 651, 568, 1419, 4294, 547, 519, 1802, 2758, 610, 16509, 269, 769, 1249, 267, 649, 786, 1265, 16172, 602, 519, 1699, 998, 513, 16509, 3112, 1689, 8216, 24345, 269, 589, 1974, 540, 942, 5462, 676, 519, 16509, 543, 519, 4187, 540, 519, 5547, 568, 2838, 1354, 519, 1802, 2758, 19944, 1132, 922, 11685, 547, 513, 4090, 776, 1689, 538, 1699, 269, 31962, 513, 2147, 3510, 585, 519, 6453, 2066, 513, 19218, 538, 3848, 476, 280, 269, 634, 5114, 1657, 568, 3020, 585, 2810, 610, 13302, 2157, 540, 1699, 998, 519, 16509, 269, 901, 1198, 568, 606, 1383, 540, 513, 2489, 6240, 1634, 607, 700, 20044, 781, 1876, 267, 799, 2829, 602, 454, 534, 13251, 1198, 568, 2141, 971, 607, 547, 28586, 519, 2014, 602, 3812, 621, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2852, 10467, 543, 547, 1628, 6015, 538, 1210, 2296, 538, 1312, 2854, 543, 5711, 2792, 269, 634, 2978, 3091, 513, 3102, 2689, 540, 782, 2296, 8239, 543, 4845, 2497, 267, 543, 6212, 593, 2542, 267, 1603, 543, 6340, 538, 513, 2219, 4538, 1604, 998, 519, 1353, 540, 3584, 540, 8471, 9029, 269, 630, 12061, 29931, 9016, 1576, 1916, 12626, 476, 6200, 281, 23531, 594, 454, 1607, 1576, 8039, 519, 2596, 3741, 540, 5037, 1603, 543, 12857, 519, 2101, 17720, 12331, 540, 32538, 267, 6609, 543, 1163, 3789, 998, 4901, 522, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 30606, 9534, 7869, 257, 607, 851, 540, 834, 25787, 1315, 31499, 1315, 5369, 17871, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 269, 4595, 922, 1871, 1058, 581, 1063, 476, 271, 543, 476, 272, 267, 521, 31451, 1599, 568, 1031, 269, 590, 31451, 1599, 568, 2016, 676, 575, 5416, 264, 815, 476, 272, 14370, 272, 1341, 552, 8584, 1916, 327, 3287, 264, 815, 575, 630, 339, 307, 343, 994, 414, 485, 357, 327, 11583, 264, 815, 476, 272, 14370, 272, 1341, 552, 8987, 339, 307, 343, 4297, 780, 275, 269, 2913, 575, 581, 519, 521, 31451, 1599, 269, 2913, 513, 815, 476, 271, 269, 1548, 568, 519, 1871, 540, 575, 5416, 25145, 320, 264, 476, 272, 270, 273, 454, 321, 264, 476, 272, 270, 275, 454, 322, 264, 476, 272, 454, 323, 264, 476, 271, 692, 15008, 281, 634, 521, 31451, 1599, 568, 2016, 676, 575, 3287, 264, 815, 476, 272, 270, 272, 266, 324, 14870, 269, 513, 284, 271, 454, 17798, 267, 575, 5416, 264, 815, 476, 272, 270, 272, 266, 324, 268, 271, 454, 284, 476, 272, 270, 272, 266, 272, 454, 284, 476, 272, 270, 273, 780, 276, 269, 17438, 540, 606, 2680, 9648, 568, 476, 272, 269, 273, 269, 1548, 568, 12918, 5223, 888, 320, 264, 476, 277, 281, 272, 454, 321, 264, 910, 277, 281, 272, 454, 322, 264, 25613, 18249, 454, 323, 264, 476, 272, 281, 273, 692, 15008, 281, 17438, 533, 814, 547, 581, 1369, 519, 2039, 540, 476, 271, 547, 476, 272, 269, 533, 666, 2760, 581, 476, 272, 269, 273, 269, 13095, 1091, 5223, 568, 7229, 607, 519, 5223, 540, 533, 543, 630, 272, 1790, 1040, 4595, 533, 666, 2760, 581, 476, 272, 269, 273, 267, 12918, 5223, 9819, 568, 849, 2009, 780, 277, 269, 17438, 540, 606, 2680, 9648, 568, 476, 271, 269, 280, 269, 1548, 568, 12918, 5223, 888, 320, 264, 476, 271, 269, 280, 281, 272, 454, 321, 264, 476, 280, 281, 272, 454, 322, 264, 476, 272, 281, 280, 454, 323, 264, 476, 272, 281, 271, 269, 280, 692, 15008, 281, 533, 815, 476, 271, 269, 280, 1775, 4318, 269, 476, 280, 270, 1015, 267, 8754, 630, 272, 1790, 264, 815, 476, 272, 1107, 476, 280, 270, 1015, 815, 476, 272, 270, 1015, 454, 302, 323, 1091, 5223, 815, 533, 14370, 272, 1790, 994, 284, 630, 280, 270, 1015, 19422, 272, 270, 1015, 264, 815, 476, 280, 281, 272, 780, 278, 269, 1548, 568, 519, 12918, 5223, 888, 320, 264, 533, 14370, 272, 1790, 994, 321, 264, 533, 454, 322, 264, 476, 272, 1790, 454, 323, 264, 533, 16732, 272, 1790, 2020, 15008, 281, 533, 568, 519, 5506, 602, 2680, 586, 4386, 269, 3973, 519, 5506, 540, 2680, 586, 711, 9648, 666, 581, 2016, 607, 630, 272, 1790, 1040, 13095, 1091, 5223, 568, 2016, 676, 519, 5223, 540, 519, 5506, 540, 606, 2680, 9648, 543, 519, 5506, 602, 606, 2680, 568, 711, 9648, 269, 4935, 267, 12918, 5223, 568, 533, 14370, 272, 1790, 6393, 279, 269, 634, 3977, 540, 26848, 9695, 568, 2141, 476, 271, 610, 476, 272, 563, 320, 264, 6936, 454, 321, 264, 8771, 692, 15008, 281, 634, 3977, 540, 26848, 9695, 568, 711, 2141, 476, 271, 610, 476, 272, 269, 898, 666, 581, 9811, 610, 1100, 269, 898, 666, 581, 1256, 3020, 610, 7301, 269, 634, 3977, 540, 9352, 26848, 9695, 568, 2141, 476, 271, 610, 476, 272, 780, 26596, 11398, 787, 6820, 4065, 1299, 4804, 10022, 1107, 10724, 4804, 269, 0, 4415, 1160, 6570, 476, 1724, 267, 952, 596, 11751, 707, 2777, 476, 1556, 1296, 3516, 2433, 17918, 11879, 25705, 630, 10135, 994, 13425, 17918, 11833, 17423, 3004, 14982, 585, 519, 26257, 3427, 17423, 1234, 548, 1162, 4179, 2517, 326, 3901, 743, 889, 2593, 270, 7343, 9199, 1188, 692, 898, 568, 4867, 476, 2764, 4924, 476, 1001, 278, 267, 476, 1015, 281, 4905, 692, 2162, 17918, 11833, 11545, 16721, 692, 2971, 11289, 596, 585, 1210, 519, 22245, 910, 713, 4359, 1907, 666, 7447, 707, 2773, 543, 2303, 811, 2259, 2055, 269, 1284, 723, 20401, 539, 596, 547, 11545, 16721, 5999, 3842, 4757, 780, 20578, 1242, 454, 1721, 1411, 692, 933, 786, 4584, 1007, 2055, 602, 6474, 707, 1377, 1759, 593, 707, 7033, 518, 3778, 692, 9199, 1188, 454, 7312, 18776, 692, 22336, 3018, 267, 649, 3580, 6494, 596, 606, 6059, 17918, 6060, 1759, 593, 707, 2773, 692, 20797, 454, 303, 904, 692, 933, 786, 4584, 1007, 2055, 602, 6474, 707, 1377, 1759, 593, 707, 7033, 518, 3778, 692, 258, 15638, 1299, 8871, 19600, 692, 30607, 15638, 1299, 8871, 19600, 538, 4873, 454, 15411, 26346, 25038, 692, 258, 2060, 1160, 6570, 476, 1724, 267, 952, 596, 11751, 707, 2777, 476, 1556, 1296, 3516, 692, 1007, 1888, 2022, 16253, 7726, 8492, 20042, 3733, 3883, 12201, 17352, 12830, 3584, 454, 12041, 24606, 454, 307, 8980, 306, 1384, 2162, 31674, 16193, 692, 12421, 454, 16274, 281, 476, 6860, 4924, 476, 1220, 276, 454, 15803, 281, 476, 4343, 454, 27063, 281, 476, 271, 692, 20132, 19560, 476, 271, 1496, 271, 3910, 2016, 281, 476, 271, 692, 4415, 1160, 6570, 476, 1724, 267, 952, 596, 11751, 707, 2777, 476, 1556, 1296, 3516, 1109, 28784, 21529, 6540, 2162, 8058, 16193, 692, 1626, 4239, 476, 1220, 276, 267, 476, 1015, 281, 3451, 454, 876, 281, 876, 692, 11795, 22187, 1384, 18217, 12458, 2020, 9223, 853, 1846, 1384, 271, 260, 630, 876, 281, 876, 264, 2953, 476, 271, 260, 630, 876, 281, 876, 264, 4636, 1759, 593, 476, 271, 7886, 692, 2162, 31674, 17004, 22245, 10803, 692, 4415, 1160, 6570, 476, 1724, 267, 952, 596, 11751, 707, 2777, 476, 1556, 1296, 3516, 585, 1269, 4037, 267, 1822, 267, 707, 3959, 3454, 1131, 581, 5111, 259, 280, 1691, 513, 1032, 630, 272, 2600, 540, 1269, 4037, 267, 1822, 2799, 676, 476, 273, 2600, 1142, 1032, 585, 476, 1556, 1296, 5148, 543, 952, 707, 7023, 11751, 606, 9838, 2777, 1985, 7450, 547, 596, 585, 259, 1220, 267, 1822, 713, 1032, 267, 1010, 3454, 1131, 581, 1269, 273, 267, 1822, 630, 272, 2600, 540, 259, 1220, 267, 1822, 1040, 9453, 1160, 6570, 476, 1724, 267, 1312, 596, 543, 707, 7023, 1131, 2628, 1269, 277, 267, 1822, 513, 1032, 538, 3959, 9204, 630, 274, 2600, 540, 259, 1220, 267, 1822, 1916, 7617, 540, 519, 1739, 568, 519, 3932, 585, 799, 519, 2278, 1034, 2693, 568, 19163, 538, 519, 8574, 1657, 888, 10490, 264, 1160, 6570, 476, 1724, 568, 796, 6247, 6627, 1317, 621, 791, 4680, 606, 21376, 3454, 593, 3601, 540, 3160, 1871, 563, 16360, 264, 1403, 1160, 6570, 476, 1724, 568, 4735, 4705, 267, 1169, 1753, 26782, 568, 2693, 547, 1995, 513, 8101, 2333, 538, 3959, 9204, 563, 18154, 264, 1635, 7303, 10637, 689, 6117, 909, 3959, 2418, 267, 1160, 6570, 476, 1724, 814, 10710, 21427, 5215, 540, 9489, 538, 3959, 9204, 563, 20573, 264, 1403, 1160, 6570, 476, 1724, 568, 711, 4735, 4705, 267, 9838, 3601, 786, 3136, 547, 581, 3454, 539, 693, 1114, 3928, 563, 27887, 264, 1160, 6570, 476, 1724, 814, 28322, 930, 21427, 811, 982, 1866, 563, 2252, 596, 723, 1022, 2055, 454, 9767, 666, 2307, 606, 4274, 454, 6124, 2336, 306, 29262, 454, 16274, 281, 476, 2764, 2904, 476, 1220, 276, 454, 15803, 281, 476, 15094, 274, 454, 19613, 281, 20144, 10440, 454, 27063, 281, 476, 278, 692, 20132, 19560, 476, 22430, 1496, 271, 3910, 2016, 281, 476, 271, 692, 2162, 8058, 16193, 692, 1626, 4239, 476, 1220, 276, 267, 476, 1556, 281, 7906, 454, 296, 786, 9108, 979, 609, 645, 563, 6303, 318, 692, 30750, 586, 320, 32465, 780, 306, 29262, 454, 16274, 281, 476, 1626, 4239, 476, 1220, 274, 454, 15803, 281, 476, 8687, 271, 454, 27063, 281, 476, 276, 692, 20132, 19560, 476, 16928, 1496, 271, 3910, 2016, 281, 476, 271, 692, 2162, 8058, 16193, 692, 1626, 4239, 476, 1220, 276, 267, 476, 1428, 281, 4510, 454, 306, 12522, 547, 581, 609, 645, 563, 17445, 528, 454, 16274, 281, 476, 1691, 9484, 476, 1220, 276, 454, 15803, 281, 476, 4200, 274, 454, 19613, 281, 3162, 9705, 454, 27063, 281, 476, 273, 692, 20132, 19560, 476, 14321, 1496, 271, 3910, 2016, 281, 476, 271, 692, 2162, 8058, 16193, 692, 1626, 4239, 476, 1220, 276, 267, 476, 1428, 281, 5379, 454, 2005, 568, 630, 289, 1916, 12421, 454, 16274, 281, 476, 6860, 4924, 476, 1220, 276, 454, 15803, 281, 476, 4343, 454, 27063, 281, 476, 271, 692, 20132, 19560, 476, 271, 1496, 271, 3910, 2016, 281, 476, 271, 692, 2162, 8058, 16193, 692, 1704, 4239, 476, 1220, 276, 267, 476, 6349, 281, 4962, 454, 29151, 568, 645, 780, 3719, 594, 1810, 1405, 1174, 1946, 661, 568, 711, 1318, 563, 25938, 1640, 15440, 454, 16274, 281, 476, 4962, 3967, 476, 1220, 276, 454, 15803, 281, 476, 22724, 454, 27063, 281, 476, 272, 692, 20132, 19560, 476, 276, 1496, 271, 3910, 2016, 281, 476, 271, 692, 2162, 8058, 16193, 692, 1240, 4239, 476, 1220, 276, 267, 476, 1724, 281, 5325, 454, 289, 568, 519, 1152, 4781, 602, 23216, 609, 519, 6566, 8412, 602, 1510, 4412, 476, 1724, 9204, 786, 581, 1164, 476, 2336, 1240, 4239, 476, 1220, 276, 267, 476, 1724, 281, 5325, 454, 13436, 3584, 1234, 18680, 7831, 2022, 454, 13436, 454, 12749, 923, 912, 4415, 1160, 6570, 476, 1724, 267, 952, 596, 11751, 707, 2777, 476, 1556, 1296, 3516, 476, 1556, 476, 6734, 8734, 476, 1220, 279, 267, 476, 2641, 281, 3607, 454, 272, 2060, 1160, 6570, 476, 1724, 267, 952, 596, 11751, 707, 2777, 476, 1556, 1296, 3516, 476, 274, 476, 2190, 7325, 476, 1220, 279, 267, 476, 1321, 281, 3066, 454, 4415, 1160, 6570, 476, 1724, 267, 952, 596, 11751, 707, 2777, 476, 1556, 1296, 3516, 476, 274, 476, 2641, 9947, 476, 1220, 279, 267, 476, 1015, 281, 1789, 454, 4415, 1160, 6570, 476, 1724, 267, 952, 596, 11751, 707, 2777, 476, 1556, 1296, 3516, 476, 272, 476, 5400, 3967, 476, 1220, 279, 267, 476, 1015, 281, 1626, 454, 275, 2060, 1160, 6570, 476, 1724, 267, 952, 596, 11751, 707, 2777, 476, 1556, 1296, 3516, 476, 275, 476, 1691, 3057, 476, 1220, 278, 267, 476, 2641, 281, 1015, 454, 11514, 2452, 9708, 689, 3105, 281, 23037, 676, 692, 258, 2060, 1160, 6570, 476, 1724, 267, 952, 596, 11751, 707, 2777, 476, 1556, 1296, 3516, 692, 1007, 1888, 2022, 16253, 7726, 8492, 20042, 3733, 3883, 12201, 17352, 12830, 3584, 692, 623, 10062, 676, 943, 335, 17668, 9736, 943, 335, 17668, 6828, 543, 943, 335, 17668, 22048, 9877, 569, 4063, 602, 519, 17918, 10378, 1449, 568, 513, 10805, 22028, 540, 519, 23958, 5004, 1520, 3939, 7027, 10378, 267, 543, 713, 3135, 814, 9444, 1044, 12649, 6862, 31045, 676, 10648, 3722, 10378, 269, 0, 16215, 476, 280, 10566, 2177, 1626, 630, 817, 9892, 2626, 1883, 2020, 258, 594, 1210, 519, 536, 10740, 1239, 2196, 519, 9695, 2203, 692, 1892, 14581, 6435, 454, 1892, 476, 1626, 454, 1892, 476, 1911, 260, 630, 275, 264, 476, 275, 856, 540, 476, 275, 1004, 1336, 713, 3561, 5363, 692, 1607, 12744, 2982, 2985, 476, 278, 910, 476, 1321, 856, 540, 476, 1626, 3817, 780, 9217, 264, 4635, 519, 536, 10740, 1239, 267, 2196, 519, 9695, 2203, 2016, 538, 707, 1837, 585, 1496, 1015, 269, 2420, 316, 630, 335, 269, 476, 3607, 273, 264, 543, 6166, 596, 1205, 519, 1482, 2164, 269, 4635, 519, 6059, 15895, 338, 689, 713, 2203, 267, 2932, 513, 968, 27917, 9912, 8367, 1449, 892, 585, 8121, 630, 272, 264, 17626, 9756, 607, 4330, 538, 707, 1837, 593, 6032, 269, 476, 275, 1626, 1107, 476, 275, 1240, 269, 8121, 630, 272, 264, 1449, 585, 17626, 9756, 5153, 1948, 272, 14208, 2433, 6543, 479, 815, 476, 271, 12794, 2433, 6543, 479, 19749, 510, 476, 271, 5153, 1948, 273, 476, 278, 692, 29771, 547, 2070, 519, 2407, 3561, 780, 1607, 8367, 1449, 568, 1759, 593, 519, 512, 1673, 626, 9084, 630, 553, 2096, 696, 582, 1227, 264, 609, 17093, 815, 476, 12553, 14668, 815, 476, 271, 269, 4962, 1234, 915, 519, 14208, 952, 519, 512, 3613, 520, 2999, 910, 272, 269, 280, 8064, 610, 3436, 476, 272, 269, 280, 8064, 543, 533, 17032, 2999, 476, 271, 269, 4962, 269, 12327, 4753, 299, 4971, 585, 519, 2565, 1871, 281, 815, 307, 269, 2562, 309, 269, 273, 307, 263, 271, 269, 4962, 267, 12553, 264, 5153, 1948, 274, 18391, 693, 519, 5254, 25353, 3977, 585, 713, 2243, 281, 512, 815, 476, 274, 269, 1240, 533, 17032, 815, 476, 271, 269, 16573, 5153, 1948, 275, 4595, 476, 274, 269, 1240, 3436, 476, 272, 269, 280, 8064 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 7804, 9722, 9174, 538, 20208, 267, 2523, 2699, 9174, 814, 865, 1082, 2640, 602, 621, 786, 948, 596, 2490, 1100, 2339, 1018, 256, 5395, 13124, 267, 29622, 543, 2090, 616, 11021, 602, 9174, 949, 3895, 513, 3476, 14438, 267, 2149, 1996, 1978, 11871, 267, 2087, 2790, 1072, 267, 543, 1683, 2640, 547, 519, 2295, 269, 26194, 20215, 1419, 5219, 9174, 607, 519, 968, 15289, 540, 7262, 4915, 892, 5009, 9174, 607, 851, 540, 513, 2635, 2732, 563, 5472, 519, 1072, 2640, 2404, 609, 6704, 9174, 7396, 2630, 616, 1152, 10858, 547, 9793, 6704, 2336, 4910, 591, 520, 1503, 543, 605, 1097, 534, 573, 1231, 267, 7135, 1336, 538, 9174, 723, 4550, 268, 1645, 3601, 267, 5329, 1973, 8043, 2635, 543, 7700, 2509, 3476, 1272, 21269, 269, 898, 849, 11151, 12110, 607, 759, 591, 520, 1503, 6971, 519, 6529, 1465, 540, 1973, 6676, 7410, 267, 799, 2337, 1832, 519, 1973, 8043, 1930, 543, 8465, 269, 901, 2337, 2226, 513, 1434, 1973, 3761, 547, 519, 2634, 563, 4002, 543, 1055, 519, 19527, 267, 621, 786, 2149, 689, 4049, 3141, 14315, 256, 29879, 543, 18812, 16755, 666, 948, 2569, 519, 14124, 2360, 540, 11158, 630, 738, 19965, 264, 1769, 269, 12207, 1336, 602, 6704, 9174, 6411, 899, 513, 9594, 267, 20993, 2157, 540, 15060, 268, 274, 9761, 7408, 538, 519, 1560, 269, 898, 849, 10607, 5761, 1599, 543, 11151, 5761, 2860, 267, 3935, 2860, 267, 6089, 2860, 267, 1025, 4193, 3676, 267, 6797, 2068, 267, 543, 1826, 476, 273, 3987, 269, 29879, 849, 14014, 689, 17150, 2860, 267, 6971, 1981, 540, 4965, 543, 568, 1434, 585, 21149, 532, 16398, 543, 13468, 1928, 1282, 27638, 563, 4407, 9174, 4616, 5526, 547, 581, 1434, 585, 519, 1072, 267, 6704, 1932, 1454, 666, 1291, 547, 4965, 267, 2790, 1072, 2042, 267, 6315, 3912, 14527, 267, 2855, 20263, 5362, 267, 8482, 267, 13119, 267, 9761, 6797, 267, 23931, 17537, 267, 4963, 9071, 2670, 267, 1896, 11871, 267, 20633, 4345, 267, 543, 1082, 824, 5312, 3676, 269, 0, 6097, 547, 519, 8225, 7991, 2657, 11752, 267, 476, 4343, 260, 540, 3703, 9069, 2103, 616, 9308, 29680, 269, 2755, 645, 5861, 269, 1869, 814, 519, 5207, 2557, 540, 2168, 2534, 538, 4516, 267, 713, 2557, 814, 17379, 476, 272, 269, 272, 260, 689, 476, 2767, 269, 273, 260, 538, 476, 1960, 275, 547, 476, 2918, 269, 280, 260, 538, 476, 1960, 280, 1916, 7617, 11662, 538, 4516, 568, 519, 2547, 9308, 3742, 888, 1103, 4334, 267, 519, 2547, 9308, 3742, 11662, 568, 20563, 267, 1498, 741, 7589, 2557, 568, 1869, 9425, 1164, 267, 543, 2673, 547, 3703, 12052, 779, 267, 693, 476, 6507, 18336, 1432, 568, 519, 1034, 9308, 3742, 11662, 538, 4516, 888, 289, 5861, 269, 568, 4516, 779, 1034, 3742, 11662, 267, 1007, 1353, 8761, 563, 1432, 2600, 540, 23671, 941, 9308, 29680, 888, 6097, 547, 10803, 4516, 267, 1152, 476, 1626, 260, 540, 8225, 4079, 616, 3478, 519, 5227, 2179, 540, 2168, 2534, 630, 5611, 3764, 540, 9793, 3562, 8686, 580, 5387, 2168, 2534, 829, 3018, 1040, 2334, 1797, 476, 10019, 260, 540, 519, 2937, 2551, 568, 711, 3742, 2614, 563, 1432, 2600, 540, 23671, 616, 25161, 888, 4002, 3328, 267, 23671, 6964, 538, 2407, 6066, 960, 941, 25161, 585, 476, 6924, 269, 280, 260, 540, 741, 1554, 630, 4817, 260, 16275, 281, 476, 6924, 269, 274, 260, 547, 476, 7597, 269, 277, 15992, 3576, 476, 279, 267, 7176, 275, 3268, 829, 1554, 630, 4817, 260, 16275, 281, 476, 279, 267, 278, 866, 547, 476, 280, 267, 27149, 264, 543, 19017, 476, 8064, 269, 276, 3764, 829, 3018, 540, 631, 309, 5183, 536, 719, 539, 630, 4817, 260, 16275, 281, 476, 10170, 269, 272, 547, 476, 9262, 269, 280, 1916, 1432, 616, 519, 4220, 540, 1373, 9308, 29680, 888, 1432, 616, 519, 1072, 4220, 540, 606, 29680, 6197, 888, 268, 9839, 3676, 267, 1519, 18337, 16050, 2068, 543, 2295, 4323, 563, 268, 4400, 1973, 2604, 563, 268, 4400, 8501, 563, 268, 5450, 20326, 6794, 563, 268, 7392, 476, 273, 3987, 563, 268, 15742, 11871, 267, 1519, 3935, 267, 6089, 267, 543, 29897, 11871, 563, 1432, 6871, 540, 1453, 2085, 476, 276, 685, 1556, 616, 5870, 519, 7589, 4808, 585, 2168, 2534, 888, 7343, 6918, 2954, 476, 273, 856, 540, 476, 276, 1453, 543, 6107, 9907, 476, 276, 547, 476, 1704, 1558, 519, 5227, 2168, 2534, 3077, 540, 476, 2568, 3764, 540, 631, 309, 5183, 829, 1554, 267, 593, 3328, 630, 2419, 691, 476, 272, 1040, 27258, 630, 7367, 8472, 941, 1079, 2053, 607, 2693, 607, 6690, 630, 2918, 8472, 543, 1453, 9907, 476, 276, 547, 476, 1556, 267, 630, 5325, 8472, 941, 476, 272, 269, 276, 2053, 607, 2693, 607, 6107, 9907, 476, 1321, 268, 1704, 267, 630, 4029, 8472, 547, 2743, 519, 16252, 563, 1432, 942, 540, 1554, 616, 23671, 1034, 3742, 888, 17780, 593, 519, 8863, 5960, 267, 3368, 540, 519, 3742, 3764, 538, 513, 1554, 616, 19017, 1063, 476, 1556, 281, 876, 513, 6230, 269, 543, 476, 276, 281, 876, 533, 6230, 269, 1280, 1453, 267, 519, 1034, 3742, 1974, 568, 12899, 6066, 630, 1556, 281, 876, 513, 6230, 269, 547, 476, 272, 281, 876, 533, 6230, 13776, 543, 585, 14038, 9907, 476, 1428, 547, 476, 866, 267, 519, 1310, 17469, 1974, 630, 274, 281, 876, 533, 6230, 269, 547, 476, 276, 281, 876, 533, 6230, 28593, 1692, 1454, 3635, 1281, 519, 3328, 8225, 1205, 888, 19177, 538, 4557, 630, 4391, 8472, 1205, 1063, 476, 1789, 543, 476, 6795, 3764, 540, 3635, 1142, 1554, 267, 1247, 1906, 1205, 1063, 476, 2568, 547, 476, 8660, 3764, 630, 1015, 15992, 476, 3445, 3764, 547, 476, 273, 3108, 630, 276, 15992, 610, 811, 982, 476, 273, 3108, 829, 1554, 630, 279, 22103, 20563, 619, 616, 519, 23671, 676, 2484, 519, 1034, 2693, 547, 1205, 1447, 982, 476, 1789, 3764, 540, 3635, 540, 2168, 2534, 1142, 1554, 630, 5038, 260, 1916, 1692, 1454, 2168, 2534, 798, 4079, 991, 4516, 888, 2414, 3035, 1072, 2640, 267, 4079, 9907, 476, 1240, 268, 5038, 1296, 1058, 18645, 693, 2547, 476, 5611, 3764, 540, 9793, 268, 547, 24526, 27233, 20659, 2168, 2534, 829, 3018, 267, 538, 536, 8083, 540, 476, 1015, 3764, 610, 811, 269, 898, 568, 849, 6225, 547, 1039, 4887, 543, 5642, 14304, 2238, 1210, 2101, 4887, 2516, 267, 693, 2547, 476, 273, 2395, 829, 3018, 269, 0, 3963, 798, 23501, 1293, 689, 4642, 267, 950, 3025, 3116, 6238, 693, 476, 272, 888, 20663, 5752, 568, 782, 827, 4398, 267, 543, 1256, 1507, 9283, 538, 4398, 666, 1118, 2462, 3604, 693, 4336, 563, 4517, 9811, 267, 10203, 689, 4642, 568, 5594, 811, 3608, 982, 4358, 693, 476, 272, 563, 4131, 779, 2263, 513, 2241, 6310, 3830, 547, 1174, 1946, 912, 2252, 649, 1293, 689, 4642, 267, 1169, 1871, 538, 519, 5044, 540, 3259, 715, 2073, 666, 581, 6719, 676, 519, 1739, 3830, 1141, 1775, 4564, 519, 10230, 2990, 540, 1142, 1871, 912, 271, 18016, 1775, 2999, 715, 454, 5978, 2681, 5044, 689, 1354, 814, 476, 276, 2698, 2418, 269, 1403, 649, 941, 547, 1491, 1142, 1871, 779, 31941, 630, 527, 779, 10230, 2990, 538, 519, 5044, 264, 543, 18921, 873, 883, 713, 3830, 912, 8072, 19990, 685, 271, 18016, 476, 271, 2999, 476, 276, 12262, 3020, 256, 2048, 344, 3641, 685, 476, 271, 18016, 476, 272, 2999, 476, 276, 12262, 849, 3020, 256, 2048, 19009, 685, 476, 271, 18016, 476, 275, 2999, 476, 276, 12262, 586, 788, 267, 586, 788, 267, 3020, 1932, 2336, 4692, 649, 782, 3858, 602, 1142, 540, 891, 4834, 568, 3020, 888, 3086, 267, 952, 649, 941, 547, 1293, 689, 476, 272, 267, 1169, 1871, 538, 519, 5044, 540, 3259, 715, 1223, 581, 6719, 676, 519, 1739, 3830, 1141, 1775, 4564, 519, 10230, 2990, 540, 1142, 1871, 912, 272, 18016, 1775, 2999, 715, 1341, 476, 272, 454, 3383, 585, 513, 4090, 267, 1577, 779, 2015, 713, 4244, 5044, 540, 4778, 594, 1810, 1406, 899, 267, 4994, 539, 676, 476, 272, 912, 314, 8072, 2041, 15607, 685, 272, 267, 2048, 528, 1052, 685, 273, 267, 2048, 13582, 685, 274, 2639, 763, 4834, 1631, 5654, 899, 865, 912, 8072, 2041, 15607, 685, 272, 18016, 476, 272, 2999, 476, 275, 12262, 3020, 256, 2048, 528, 1052, 685, 476, 272, 18016, 476, 273, 2999, 476, 275, 12262, 26001, 267, 849, 3020, 256, 2048, 13582, 685, 476, 272, 18016, 476, 274, 2999, 476, 275, 12262, 1932, 3020, 2336, 17829, 616, 849, 3020, 267, 1318, 286, 1924, 1018, 779, 519, 1966, 888, 763, 1966, 568, 1336, 538, 519, 715, 1341, 476, 272, 851, 540, 519, 3830, 563, 2791, 1294, 1018, 602, 1797, 568, 602, 538, 1931, 585, 519, 2780, 547, 1184, 519, 3830, 621, 814, 547, 1265, 519, 3259, 540, 519, 5044, 543, 1287, 1039, 476, 272, 269, 17610, 267, 621, 779, 711, 513, 2182, 4305, 630, 1729, 1039, 476, 272, 264, 855, 621, 568, 3063, 960, 602, 519, 2780, 3085, 1406, 723, 547, 798, 950, 4393, 519, 5449, 3830, 267, 543, 4061, 267, 4358, 519, 1293, 693, 4642, 17993, 2336, 307, 2586, 689, 1934, 281, 4208, 23501, 1376, 10203, 693, 4642, 1923, 31853, 13062, 2313, 0, 21413, 513, 8969, 267, 513, 23329, 1223, 581, 971, 513, 16160, 2067, 9568, 2479, 4755, 593, 713, 1808, 4541, 269, 2334, 568, 1317, 20016, 600, 529, 1223, 2014, 971, 14042, 1310, 13716, 338, 2509, 519, 4961, 267, 8134, 267, 543, 849, 519, 6703, 547, 1022, 2197, 602, 621, 4386, 269, 1703, 616, 8197, 865, 1082, 20016, 600, 529, 602, 723, 5949, 602, 1223, 581, 13042, 607, 519, 1034, 16160, 20016, 600, 529, 2479, 538, 1686, 269, 898, 568, 1732, 585, 782, 519, 2477, 547, 581, 2731, 5423, 585, 1022, 7399, 563, 6097, 547, 519, 1249, 267, 513, 23329, 568, 2965, 513, 3126, 540, 6329, 538, 513, 1216, 1560, 3361, 676, 519, 12761, 540, 513, 1804, 4320, 540, 1216, 267, 3622, 538, 606, 5836, 610, 1256, 513, 1804, 10720, 269, 10801, 519, 6228, 540, 713, 1880, 4541, 602, 568, 519, 3047, 267, 891, 616, 519, 476, 276, 1034, 16160, 20016, 600, 529, 609, 2295, 12577, 1310, 13716, 338, 602, 723, 5949, 5001, 563, 272, 264, 5681, 21358, 267, 12868, 1107, 476, 1220, 275, 454, 763, 1032, 476, 1220, 275, 23329, 602, 5949, 538, 5681, 21358, 267, 12868, 1185, 7018, 593, 519, 476, 2918, 628, 540, 5412, 269, 634, 896, 22855, 19251, 987, 6412, 13091, 909, 547, 513, 2698, 540, 476, 280, 269, 272, 1700, 280, 269, 274, 631, 342, 9588, 8757, 513, 30330, 718, 328, 8515, 909, 547, 26577, 538, 1978, 2127, 269, 634, 13091, 729, 3361, 676, 513, 28230, 2059, 519, 13337, 1063, 519, 8738, 332, 3150, 17934, 543, 849, 519, 4095, 17934, 269, 7136, 633, 23329, 6329, 602, 8057, 909, 607, 1164, 607, 476, 1789, 544, 1164, 2899, 16144, 24654, 666, 581, 2938, 543, 621, 729, 2813, 676, 519, 2534, 21369, 602, 568, 519, 14015, 20381, 563, 273, 264, 3345, 7414, 11076, 267, 3567, 1107, 476, 1001, 272, 454, 763, 476, 1001, 272, 13091, 543, 23329, 602, 5949, 538, 3567, 7018, 593, 519, 476, 1556, 628, 540, 4728, 269, 589, 2698, 540, 476, 280, 269, 271, 1700, 280, 269, 272, 300, 342, 9588, 896, 22855, 19251, 987, 6412, 13091, 538, 519, 7414, 7909, 267, 476, 7761, 5998, 7532, 540, 519, 744, 3333, 11986, 18686, 540, 519, 570, 16230, 327, 18602, 3148, 267, 543, 16768, 5111, 3670, 3764, 267, 4929, 513, 23329, 269, 769, 3567, 267, 621, 568, 3006, 1634, 607, 519, 968, 15124, 5101, 3567, 32495, 820, 892, 1851, 824, 4408, 269, 13876, 1242, 607, 519, 1034, 3532, 13091, 2479, 5949, 538, 3567, 563, 274, 264, 700, 1092, 267, 21125, 11866, 1107, 476, 1001, 274, 454, 763, 21125, 11866, 13091, 13351, 22583, 540, 5245, 538, 519, 1032, 476, 1001, 274, 609, 513, 4090, 9588, 540, 476, 279, 269, 271, 269, 4706, 12473, 10938, 729, 519, 21125, 11866, 267, 693, 519, 6302, 540, 519, 8241, 543, 7414, 29684, 10824, 267, 4929, 2199, 17355, 340, 725, 543, 513, 23329, 540, 476, 272, 269, 276, 544, 543, 11318, 693, 2547, 476, 280, 1004, 563, 275, 264, 18475, 1107, 476, 1220, 272, 454, 763, 7013, 18475, 13091, 538, 519, 1032, 476, 1220, 272, 814, 7018, 593, 519, 476, 2537, 6113, 540, 4873, 609, 513, 4090, 9588, 540, 476, 279, 269, 275, 543, 5021, 30330, 718, 328, 8515, 540, 24163, 630, 5353, 3164, 264, 4553, 676, 513, 2101, 570, 15711, 9564, 269, 634, 844, 820 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 593, 1079, 2127, 540, 5834, 563, 28899, 5358, 769, 5274, 17323, 630, 6635, 1206, 994, 290, 12973, 538, 519, 11683, 5358, 538, 5274, 17323, 616, 5258, 883, 1614, 1292, 1016, 13694, 9830, 281, 12124, 17323, 267, 4317, 14727, 8590, 17323, 543, 7025, 17323, 269, 901, 1982, 3340, 513, 2698, 540, 476, 278, 269, 271, 2407, 17099, 1369, 519, 6626, 476, 736, 5491, 10421, 585, 513, 772, 4811, 290, 4110, 563, 14737, 528, 5358, 769, 5274, 17323, 454, 1607, 1982, 3340, 513, 2698, 540, 476, 275, 269, 271, 2407, 17099, 267, 1519, 476, 272, 269, 271, 2407, 5491, 693, 519, 595, 7400, 610, 667, 7400, 563, 28899, 5358, 769, 8447, 1656, 5274, 17323, 630, 6635, 1206, 994, 1607, 568, 606, 22524, 788, 3477, 531, 1982, 3056, 547, 513, 645, 6993, 269, 4110, 538, 799, 1053, 9192, 6030, 538, 1480, 11585, 630, 294, 16165, 18772, 264, 609, 6030, 538, 2168, 11585, 630, 292, 2464, 18772, 1040, 901, 1982, 3340, 519, 12032, 540, 513, 2698, 540, 476, 279, 269, 271, 2407, 17099, 540, 799, 476, 275, 269, 271, 17099, 616, 547, 581, 661, 2464, 6030, 267, 543, 476, 275, 269, 271, 17099, 616, 547, 581, 717, 16165, 6030, 269, 0, 12441, 596, 917, 602, 1082, 540, 707, 5172, 19323, 5370, 2270, 513, 5906, 6219, 1572, 1098, 3170, 286, 898, 779, 3020, 282, 5768, 25978, 267, 25394, 267, 12897, 267, 543, 1256, 14254, 23611, 666, 2285, 596, 606, 14432, 9570, 540, 713, 5739, 3170, 563, 3963, 568, 1098, 3170, 865, 3983, 585, 596, 286, 9521, 2295, 268, 11794, 5667, 18260, 3170, 267, 1098, 9600, 2965, 24571, 707, 16209, 267, 6318, 707, 3983, 8501, 267, 543, 2539, 707, 1434, 8501, 1377, 269, 901, 17784, 19351, 20632, 568, 3743, 585, 5215, 540, 2295, 6285, 1142, 1032, 269, 769, 1249, 267, 1098, 9600, 616, 865, 5906, 602, 4966, 3589, 519, 1072, 1416, 2872, 1131, 4688, 1269, 6321, 5479, 936, 519, 1985, 476, 736, 1296, 952, 1098, 9600, 941, 17515, 689, 782, 3536, 563, 2791, 666, 2149, 3054, 689, 1098, 9600, 676, 2542, 519, 10297, 540, 519, 1426, 596, 4444, 269, 1403, 596, 1294, 5768, 25978, 610, 7250, 730, 3282, 593, 519, 12146, 1592, 267, 519, 1426, 3568, 1098, 3170, 269, 0, 9288, 5501, 906, 540, 11724, 520, 4369, 13242, 538, 18726, 8249, 11094, 543, 7233, 6601, 5338, 454, 268, 17029, 663, 10469, 322, 990, 20391, 320, 543, 454, 268, 8277, 9061, 320, 2608, 321, 454, 1607, 1957, 8039, 930, 7403, 540, 2099, 520, 4369, 971, 607, 519, 2500, 2551, 2450, 630, 301, 552, 264, 3730, 538, 4719, 2200, 5726, 543, 2030, 9960, 1382, 269, 2368, 2653, 3562, 14025, 7215, 585, 21501, 715, 552, 538, 513, 1297, 540, 4052, 2175, 616, 2016, 269, 1280, 519, 2013, 540, 1896, 1016, 16647, 2827, 267, 715, 552, 568, 17077, 569, 6766, 676, 519, 2698, 538, 3691, 5338, 269, 4935, 267, 715, 552, 3587, 6140, 8200, 593, 519, 10246, 997, 4763, 1851, 1016, 16647, 2827, 543, 519, 1297, 540, 1016, 16647, 2827, 25541, 269, 1879, 267, 896, 2067, 2175, 267, 2157, 540, 11410, 641, 1637, 10246, 997, 27754, 616, 1970, 267, 621, 568, 22801, 547, 3494, 602, 513, 1507, 1297, 540, 1016, 16647, 2827, 786, 581, 6190, 547, 12492, 7850, 2500, 2551, 7306, 269, 1879, 513, 2582, 2551, 568, 2808, 543, 5452, 1373, 25541, 723, 513, 1920, 2497, 267, 693, 519, 3970, 715, 552, 5673, 1152, 593, 519, 1297, 540, 6079, 3237, 543, 519, 1071, 4545, 12960, 11664, 1851, 521, 756, 338, 1369, 3885, 269, 7457, 542, 20344, 568, 519, 2013, 1141, 519, 4704, 2551, 568, 540, 13113, 2450, 269, 31133, 2045, 1852, 568, 513, 2101, 3815, 538, 20344, 269, 634, 2530, 540, 909, 547, 476, 736, 260, 540, 5452, 949, 581, 16626, 538, 2474, 540, 715, 552, 950, 4775, 13708, 2045, 1852, 568, 4294, 269, 901, 568, 711, 12492, 762, 609, 4351, 10386, 540, 5452, 269, 1879, 4974, 715, 552, 538, 20443, 5542, 14565, 267, 2164, 4951, 602, 519, 2744, 538, 715, 552, 998, 13708, 2045, 1852, 568, 1360, 1507, 950, 5542, 568, 14021, 269, 1879, 9236, 2500, 2551, 7306, 585, 519, 2582, 6079, 16350, 630, 7704, 291, 264, 1505, 8957, 519, 13557, 1062, 267, 2164, 4951, 602, 9399, 291, 15387, 4719, 20847, 693, 513, 1970, 1377, 543, 3091, 513, 1454, 1732, 4027, 1996, 4351, 2530, 540, 27586, 1282, 1582, 532, 5481, 269, 6480, 26305, 2551, 6724, 267, 998, 13798, 11395, 4719, 12508, 568, 4909, 585, 13844, 6325, 9193, 540, 2500, 2551, 2450, 269, 8923, 2070, 519, 7824, 676, 1210, 519, 9509, 7956, 630, 14457, 264, 3095, 896, 1412, 8698, 262, 547, 519, 2451, 563, 15648, 9736, 476, 1220, 274, 269, 0, 15612, 725, 538, 513, 24388, 520, 1355, 269, 589, 24388, 520, 1355, 568, 513, 4874, 28353, 609, 1079, 6252, 29977, 607, 3490, 543, 3382, 8188, 267, 4171, 14622, 616, 4448, 538, 513, 1259, 267, 602, 519, 2427, 8188, 616, 12730, 610, 25671, 6950, 630, 10175, 6252, 9999, 1040, 1403, 1312, 6252, 29977, 723, 519, 1482, 1297, 540, 14622, 543, 952, 519, 2427, 8188, 782, 616, 25671, 6950, 267, 713, 568, 513, 24388, 1355, 269, 634, 9819, 540, 519, 4320, 568, 1500, 609, 519, 4463, 267, 519, 2127, 540, 3490, 543, 3382, 3068, 543, 519, 1858, 540, 519, 3444, 3296, 693, 3368, 4463, 269, 634, 7411, 568, 547, 1205, 519, 8545, 269, 9373, 2185, 2418, 543, 3442, 519, 1297, 540, 8918, 4025, 267, 1287, 4945, 12433, 563, 309, 815, 554, 270, 277, 2608, 630, 589, 272, 1341, 476, 275, 288, 273, 1341, 589, 274, 12467, 1607, 568, 513, 8390, 540, 519, 22902, 4542, 540, 3223, 16980, 563, 763, 4463, 814, 513, 835, 8820, 1770, 630, 324, 3052, 269, 11281, 1070, 519, 2127, 723, 713, 1770, 16302, 630, 324, 3052, 269, 4009, 11281, 1070, 519, 4320, 814, 713, 1770, 547, 519, 1379, 540, 1614, 630, 324, 3052, 269, 12945, 11281, 1040, 0, 16920, 528, 2284, 4937, 18238, 15579, 518, 3413, 8787, 602, 1453, 779, 4598, 547, 5208, 568, 4986, 1447, 982, 513, 3084, 6433, 269, 2060, 713, 1857, 1072, 3390, 2501, 3978, 29298, 585, 519, 2104, 540, 938, 2197, 543, 519, 1762, 2367, 543, 2021, 945, 786, 4166, 581, 1572, 2390, 547, 1628, 602, 2104, 563, 1103, 3210, 547, 891, 5538, 17331, 7194, 543, 1866, 267, 15579, 518, 9250, 519, 4347, 2056, 19974, 19541, 538, 476, 1001, 271, 267, 799, 814, 2094, 8507, 538, 513, 1867, 593, 9860, 540, 6689, 4598, 547, 5208, 543, 7840, 547, 2232, 621, 563, 9961, 519, 3923, 540, 5147, 649, 3580, 1491, 513, 6251, 1413, 693, 930, 540, 519, 7840, 267, 1018, 568, 1373, 2944, 543, 1018, 596, 666, 798, 547, 948, 563, 3080, 540, 519, 7840, 540, 519, 17130, 10414, 7840, 568, 547, 968, 839, 675, 602, 15970, 3292, 538, 1126, 268, 543, 1920, 1606, 6326, 8041, 267, 1519, 4651, 3125, 3292, 543, 824, 3292, 4481, 585, 2367, 11753, 2994, 585, 7303, 6469, 5208, 543, 4638, 14213, 543, 1331, 1065, 9653, 2994, 950, 5208, 814, 2907, 7018, 3034, 288, 4651, 779, 6278, 609, 741, 1453, 568, 2404, 609, 2318, 5042, 267, 1514, 267, 543, 3929, 1646, 689, 26638, 547, 18273, 269, 634, 4651, 779, 1909, 568, 811, 982, 602, 540, 2804, 8502, 543, 2882, 14637, 267, 11928, 1516, 267, 543, 3929, 1489, 538, 1312, 6654, 543, 11029, 2081, 269, 0, 2005, 779, 8338, 982, 596, 1589, 630, 3249, 518, 270, 3712, 5076, 22026, 994, 6097, 547, 519, 1867, 267, 3812, 676, 3173, 693, 519, 2160, 540, 14151, 543, 8592, 22846, 2160, 267, 476, 2412, 260, 540, 1164, 1153, 1053, 10927, 1510, 1373, 5423, 585, 2852, 610, 585, 513, 4876, 269, 1452, 1053, 267, 3173, 25077, 267, 616, 968, 685, 320, 5691, 896, 5035, 540, 1053, 685, 945, 9096, 1164, 1153, 609, 513, 13973, 4904, 609, 530, 23926, 16365, 2489, 2069, 6030, 543, 1906, 16548, 585, 1967, 2901, 538, 2757, 2852, 610, 538, 3318, 2866, 3034, 763, 4589, 4063, 602, 476, 3451, 260, 540, 1164, 1153, 1053, 10927, 593, 513, 2048, 3712, 5076, 3341, 685, 3950, 267, 609, 606, 3606, 10116, 540, 1053, 593, 513, 4876, 3341, 13374, 269, 1809, 972, 616, 513, 1906, 2596, 5013, 602, 1118, 891, 2338, 8338, 982, 789, 7620, 2408, 912, 268, 634, 1867, 4481, 14753, 547, 1164, 1153, 20021, 267, 799, 5337, 2803, 519, 476, 1789, 260, 540, 1053, 945, 6749, 856, 1354, 4271, 908, 269, 5410, 1346, 1053, 1394, 538, 547, 519, 9273, 630, 14588, 32496, 267, 547, 519, 2048, 10090, 958, 12707, 335, 1563, 685, 7121, 264, 543, 519, 2338, 1689, 547, 476, 4649, 260, 540, 782, 1053, 6028, 1153, 12707, 335, 1563, 630, 10972, 680, 5448, 538, 1688, 610, 711, 1070, 476, 2918, 260, 10927, 593, 513, 2852, 3950, 267, 543, 476, 866, 269, 276, 260, 593, 513, 4876, 13374, 563, 268, 634, 4589, 4063, 519, 5963, 24034, 5013, 827, 1053, 945, 979, 593, 547, 1079, 4458, 610, 2185, 4458, 2022, 16149, 776, 2069, 281, 8745, 569, 267, 602, 1318, 1631, 267, 1175, 1079, 2829, 8366, 811, 982, 476, 736, 5232, 829, 476, 1911, 1053, 538, 2146, 2852, 267, 543, 1152, 5216, 2829, 8366, 811, 982, 476, 736, 5232, 829, 476, 1911, 1053, 538, 2185, 4458, 12621, 563, 268, 634, 4214, 540, 4876, 13374, 267, 1498, 4122, 7608, 267, 568, 3226, 4617, 281, 14171, 693, 2547, 1079, 11632, 292, 6030, 269, 2334, 779, 621, 269, 15742, 569, 930, 1053, 616, 2921, 513, 2407, 5044, 540, 11632, 292, 6030, 543, 4742, 5423, 585, 960, 1107, 855, 875, 1082, 616, 2921, 1100, 811, 982, 1079, 6030, 267, 543, 540, 1346, 267, 875, 1082, 616, 2731, 4876, 268, 2819, 286, 0, 8505, 5782, 1709, 5170, 547, 11457, 547, 4724, 16107, 1344, 827, 519, 3593, 267, 3079, 540, 1344, 22234, 676, 519, 3593, 269, 834, 293, 864, 24522, 257, 2029, 568, 5941, 1934, 267, 543, 568, 3226, 8903, 1317, 3811, 17452, 676, 519, 1439, 3593, 3340, 519, 1439, 3593, 547, 5431, 513, 3068, 630, 2254, 513, 4583, 1268, 910, 2576, 711, 3025, 1131, 5431, 264, 689, 513, 1895, 540, 8188, 269, 901, 568, 606, 4277, 1491, 593, 834, 325, 18432, 6284, 257, 602, 568, 1373, 2944, 676, 513, 1480, 630, 1492, 3593, 264, 607, 10353, 547, 513, 3684, 630, 20365, 2780, 267, 1210, 11132, 6284, 3301, 1040, 769, 713, 2203, 267, 519, 8188, 1223, 1689, 543, 607, 1279, 607, 519, 3593, 1223, 1869, 4584, 856, 513, 3068, 602, 568, 5432, 547, 873, 267, 519, 2557, 540, 1967, 786, 1869, 581, 1164, 563, 289, 2988, 23035, 1945, 899, 713, 607, 513, 12611, 3122, 1131, 581, 513, 2243, 540, 6986, 9939, 630, 553, 1279, 607, 519, 25926, 1500, 676, 519, 1439, 3593, 941, 711, 6654, 2614, 547, 581, 3362, 13998, 22041, 1070, 543, 519, 2029, 9327, 1405, 2154, 1022, 2027, 8800, 269, 901, 568, 8903, 1317, 621, 12346, 593, 519, 1480, 2702, 547, 5431, 267, 3079, 540, 519, 2702, 540, 519, 1480, 547, 581, 6444, 676, 2029, 269, 30404, 2409, 267, 899, 713, 835, 267, 616, 11173, 547, 22962, 519, 4901, 1472, 1985, 24932, 17452, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 563, 268, 634, 9860, 543, 11841, 540, 1034, 1072, 2175, 14380, 609, 2810, 2085, 630, 324, 3052, 269, 2860, 267, 18337, 2295, 2068, 543, 1826, 476, 273, 3987, 1916, 268, 15486, 540, 2669, 1689, 609, 2810, 2085, 269, 9435, 267, 9025, 2068, 543, 7929, 2068, 2014, 513, 2362, 8167, 540, 9019, 538, 4587, 1004, 982, 538, 7820, 1004, 563, 268, 623, 3290, 518, 6710, 267, 513, 1883, 24572, 540, 2192, 268, 8234, 543, 1272, 19104, 267, 814, 8519, 2949, 538, 519, 2063, 1079, 5756, 855, 814, 4957, 2370, 538, 519, 2063, 476, 276, 1296, 563, 268, 16195, 2404, 5563, 616, 513, 1880, 1072, 1981, 585, 4587, 1004, 2094, 789, 723, 2362, 6413, 16075, 3928, 454, 268, 1546, 10879, 568, 811, 1455, 538, 4587, 1004, 543, 267, 609, 606, 10172, 2551, 267, 649, 616, 2693, 547, 1294, 606, 16057, 7678, 538, 519, 1297, 540, 1004, 609, 12110, 454, 268, 901, 2063, 2101, 9337, 540, 713, 3296, 729, 6192, 538, 4873, 476, 1001, 277, 563, 268, 634, 1985, 2101, 9337, 568, 1813, 547, 581, 5645, 856, 676, 1439, 4873, 476, 1001, 278, 563, 17273, 2063, 8242, 281, 476, 1626, 4873, 476, 1001, 277 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 609, 30898, 15903, 4390, 692, 17582, 7749, 593, 10395, 13541, 923, 543, 8641, 7869, 476, 2641, 628, 267, 4989, 267, 476, 1220, 277, 715, 1678, 2967, 2160, 17266, 3684, 6252, 16801, 20319, 609, 30898, 15903, 4390, 962, 10224, 29883, 10202, 836, 4972, 540, 6128, 267, 2098, 26907, 345, 17924, 2160, 692, 2162, 21290, 543, 13437, 16214, 540, 8950, 7010, 8232, 20491, 476, 272, 692, 9556, 9934, 543, 13437, 16214, 540, 8950, 7010, 8232, 20491, 476, 272, 667, 269, 717, 13831, 476, 273, 853, 269, 30208, 3557, 2160, 476, 274, 715, 14389, 269, 918, 337, 643, 6081, 476, 275, 853, 10422, 4394, 7921, 3557, 2160, 476, 276, 17593, 589, 2203, 540, 2780, 1062, 692, 2162, 589, 623, 6020, 3036, 296, 11536, 2316, 21316, 2464, 11123, 590, 4932, 8780, 21764, 25663, 308, 16739, 5508, 590, 4932, 6579, 12114, 2752, 661, 17247, 7709, 12087, 661, 12702, 25972, 269, 769, 3965, 540, 22748, 6953, 340, 2967, 15651, 692, 288, 623, 6020, 3036, 296, 11536, 2316, 21316, 2464, 11123, 590, 4932, 8780, 21764, 25663, 308, 16739, 5508, 590, 4932, 6579, 12114, 2752, 661, 17247, 7709, 12087, 661, 12702, 25972, 2473, 288, 9654, 2207, 595, 5723, 305, 32723, 267, 631, 3198, 5085, 590, 3198, 6224, 383, 497, 301, 267, 6730, 808, 302, 5085, 9501, 305, 10813, 298, 769, 3965, 540, 22748, 6953, 340, 2967, 15651, 476, 272, 269, 4985, 769, 713, 4063, 649, 2015, 5033, 626, 762, 692, 2162, 700, 624, 999, 476, 276, 268, 277, 281, 13177, 10022, 692, 13043, 476, 272, 323, 26189, 528, 281, 22087, 571, 545, 19258, 27451, 700, 624, 999, 476, 276, 268, 281, 13177, 10022, 1284, 4060, 476, 276, 268, 2836, 27700, 476, 22659, 476, 272, 13177, 27155, 338, 543, 10022, 1306, 649, 4718, 538, 3018, 476, 275, 267, 1379, 3126, 616, 26526, 8799, 3615, 547, 960, 609, 269, 769, 1880, 10484, 2162, 17029, 548, 521, 14497, 269, 7117, 263, 1535, 264, 815, 476, 272, 692, 299, 15145, 476, 272, 2433, 763, 6399, 10025, 14497, 1284, 917, 602, 3586, 3252, 723, 12045, 4642, 269, 1772, 621, 2009, 585, 513, 811, 7294, 1599, 547, 723, 12045, 4642, 286, 769, 713, 3296, 649, 786, 2626, 713, 2243, 692, 2162, 9501, 22664, 24315, 4811, 5442, 309, 7728, 12088, 20219, 23727, 306, 6167, 29308, 4888, 5442, 290, 3918, 3008, 5058, 14174, 6579, 13543, 681, 12442, 667, 4932, 13263, 29206, 309, 3201, 667, 8780, 6020, 289, 28513, 692, 9915, 22664, 623, 12678, 5442, 309, 2894, 12088, 20219, 306, 32209, 6167, 29308, 4888, 5442, 290, 3918, 3008, 5058, 14174, 6579, 13543, 17241, 292, 667, 4932, 13263, 5442, 27263, 3201, 20591, 6020, 289, 308, 12778, 6380, 320, 590, 4660, 2033, 476, 272, 267, 631, 269, 2098, 1221, 9040, 2967, 476, 273, 267, 631, 269, 6428, 1695, 3397, 340, 597, 476, 274, 267, 744, 340, 1690, 10972, 31704, 9346, 320, 476, 275, 476, 272, 2817, 3427, 540, 8950, 7070, 630, 684, 529, 807, 1070, 692, 2162, 772, 5861, 269, 20588, 11483, 28510, 281, 15303, 2762, 7435, 719, 476, 271, 269, 272, 12359, 320, 7066, 6665, 534, 5130, 267, 476, 1220, 280, 269, 11872, 593, 10789, 692, 308, 5861, 269, 20588, 11483, 28510, 281, 15303, 2762, 7435, 719, 476, 271, 269, 272, 12359, 320, 7066, 6665, 534, 5130, 267, 476, 1220, 280, 11872, 593, 10789, 1452, 4967, 2270, 607, 2370, 3069, 607, 2009, 267, 543, 1034, 2164, 616, 7150, 1510, 6169, 269, 7102, 2606, 692, 2162, 23889, 645, 11367, 17883, 1369, 4790, 571, 842, 14691, 692, 18204, 7992, 645, 11367, 17883, 1369, 4790, 571, 842, 14691, 16874, 31151, 18095, 1794, 731, 267, 715, 732, 526, 571, 808, 1380, 1329, 4757, 281, 2715, 327, 322, 3711, 18054, 25814, 1380, 1329, 348, 287, 655, 333, 8807, 337, 27878, 1723, 548, 964, 631, 1149, 632, 715, 656, 525, 267, 700, 2562, 288, 31368, 11965, 674, 3918, 476, 26604, 280, 476, 275, 678, 826, 21238, 918, 770, 2401, 22680, 692, 2162, 589, 8074, 593, 26228, 18763, 30498, 538, 25351, 4120, 28249, 28977, 692, 288, 8074, 593, 26228, 18763, 30498, 538, 25351, 4120, 28249, 28977, 30227, 631, 269, 26960, 3427, 540, 8950, 3163, 2160, 540, 4826, 31846, 4826, 31846, 267, 14411, 715, 273, 299, 476, 274, 294, 272, 267, 4516, 512, 332, 2559, 287, 340, 4248, 31846, 28022, 5181, 476, 1321, 10484, 2162, 634, 25676, 2480, 1117, 30389, 9046, 692, 763, 25676, 2480, 1117, 30389, 9046, 19863, 807, 1488, 3832, 26152, 4972, 540, 26592, 10613, 267, 2160, 540, 645, 637, 25556, 2552, 2784, 320, 13244, 932, 3511, 320, 476, 2004, 267, 476, 25172, 2420, 645, 637, 25556, 267, 7977, 9410, 15223, 12069, 828, 724, 3427, 540, 11633, 543, 7010, 692, 2162, 4329, 5530, 593, 16200, 20698, 337, 836, 1014, 667, 7081, 16296, 585, 769, 557, 343, 15789, 3842, 6755, 531, 1399, 12793, 476, 272, 692, 10702, 5530, 593, 16200, 20698, 337, 836, 1014, 667, 7081, 16296, 585, 769, 557, 343, 15789, 3842, 6755, 531, 1399, 12793, 476, 272, 808, 269, 18681, 4659, 540, 11930, 9119, 267, 932, 784, 336, 532, 2160, 540, 24762, 543, 17791, 20664, 267, 932, 784, 336, 532, 692, 2162, 674, 16898, 3036, 5058, 623, 5357, 312, 301, 6865, 24361, 306, 5442, 5990, 681, 5058, 5508, 11123, 300, 3201, 31266, 2207, 590, 2207, 22494, 744, 23615, 2098, 692, 293, 16898, 3036, 5058, 623, 5357, 312, 301, 6865, 24361, 306, 5442, 5990, 681, 5058, 5508, 11123, 300, 3201, 31266, 2207, 590, 2207, 22494, 744, 23615, 2098, 667, 3198, 296, 5085, 645, 7644, 7246, 297, 2207, 267, 808, 308, 3198, 645, 717, 6579, 267, 6730, 631, 2975, 11190, 5085, 25723, 2562, 2207, 17593, 1284, 2015, 21335, 609, 8870, 14170, 543, 1865, 741, 26458, 692, 2162, 4569, 476, 6344, 15937, 11929, 6657, 10819, 267, 4813, 281, 589, 692, 13043, 476, 6344, 15937, 11929, 6657, 10819, 267, 4813, 281, 589, 8745, 281, 2755, 1169, 3801, 729, 1500, 547, 581, 2347, 538, 519, 2010, 540, 2042, 2016, 2630, 267, 649, 1118, 1100, 18715, 827, 519, 1264, 28467, 540, 519, 2042, 269, 13018, 10484, 2162, 10432, 476, 276, 6715, 1537, 12443, 1117, 571, 692, 25582, 476, 276, 6715, 1537, 12443, 1117, 571, 1284, 723, 2938, 930, 1806, 476, 272, 540, 5276, 5752, 19862, 602, 616, 7533, 267, 2495, 602, 1169, 2596, 15164, 3070, 568, 606, 7533, 6152, 269, 901, 3018, 649, 1020, 513, 3069, 692, 2162, 589, 1362, 540, 593, 11060, 20319, 6620, 547, 7413, 2698, 12032, 942, 692, 288, 1362, 540, 593, 11060, 20319, 6620, 547, 7413, 2698, 12032, 942, 2473, 269, 13198, 681, 6993, 269, 23063, 1562, 700, 269, 853, 537, 27932, 17593, 1284, 2015, 519, 1966, 540, 20319, 6009, 593, 11060, 593, 513, 2582, 3684, 543, 593, 9838, 692, 2162, 8206, 16534, 1966, 547, 5688, 1275, 269, 8206, 16534, 1966, 538, 4874, 6066, 269, 8206, 16534, 17062, 8320, 540, 519, 1966, 269, 8206, 268, 13627, 11582, 5690, 780, 7343, 6918, 11582, 27122, 3848, 20976, 11582, 27122, 1627, 14597, 594, 991, 547, 4194, 606, 26128, 3620, 731, 1966, 1548, 1058, 594, 798, 286, 589, 7869, 3081, 596, 2811, 12691, 547, 1265, 513, 4874, 6066, 5690, 18771, 15093, 835, 540, 692, 2162, 17976, 476, 274, 281, 12430, 14691, 4039, 1314, 725, 543, 681, 15929, 692, 299, 15145, 476, 274, 281, 12430, 14691, 4039, 1314, 725, 543, 681, 15929, 476, 272, 20976, 11582, 27122, 543, 12430, 4039, 1314, 725, 1280, 519, 942, 1373, 267, 15475, 649, 723, 513, 6922, 1436, 1966, 269, 3509, 2053, 267, 519, 1966, 693, 1688, 666, 692, 2162, 10396, 700, 8379, 3951, 15829, 16703, 11123, 595, 7728, 305, 3201, 10758, 29308, 5254, 288, 2316, 306, 23154, 6167, 29308, 31266, 2207, 715, 3036, 300, 3201, 22003, 9569, 269, 661, 269, 594, 269, 7754, 3832, 9366, 267, 589, 269, 717, 659, 990, 338, 6390, 5174, 541, 663, 990, 338, 6390, 692, 5522, 529, 6390, 2289, 269, 4569, 269, 10089, 3258, 269, 476, 2420, 630, 1001, 276, 1070, 22295, 8656, 13878, 26154, 2316, 7563, 645, 8085, 294, 2752, 32177, 10396, 700, 8379, 3951, 15829, 16703, 11123, 595, 7728, 305, 3201, 10758, 29308, 5254, 288, 2316, 306, 23154, 6167, 29308, 31266, 2207, 715, 3036, 300, 3201, 22003, 9569, 661, 269, 594, 269, 7754, 3832, 9366, 267, 589, 269, 717, 659, 990, 338, 6390, 5174, 541, 663, 990, 338, 6390, 3911, 597, 2617, 630, 3707, 280, 264, 6508, 2185, 692, 2162, 595, 5960, 290, 476, 5952, 279, 307, 281, 15932, 1242, 27122, 11354, 476, 1220, 274, 7435, 719, 476, 279, 281, 634, 10871, 19748, 2742, 692, 290, 5960, 290, 476, 5952, 279, 307, 281, 15932, 1242, 27122, 11354, 476, 1220, 274, 7435, 719, 476, 279, 281, 634, 10871, 19748, 2742, 7490, 8074, 281, 634, 8100, 693, 519, 1439, 616, 2016, 585, 3063, 2542, 952, 596, 616, 5461, 538, 3695, 891, 2093, 2417, 269, 1411, 616, 692, 18893, 2711, 1648, 4123, 11325, 16131, 3026, 531, 4446, 4897, 334, 267, 12253, 717, 269, 23045, 267, 17435, 527, 686, 657, 700, 1115, 3930, 267, 7812, 715, 1872, 550, 267, 31489, 681, 269, 623, 745, 26387, 1677, 13712, 713, 4528, 281, 3026, 531, 4446, 4897, 334, 267, 12253, 717, 269, 23045, 267, 17435, 527, 686, 657, 700, 1115, 3930, 267, 7812, 715, 1872, 550, 10484, 2162, 20525, 3918, 476, 30663, 272, 2433, 476, 273, 269, 11822, 343, 6396, 692, 8008, 3918, 476, 30663, 272, 2433, 476, 273, 269, 11822, 343, 6396, 476, 272, 634, 8641, 673, 6396, 281, 1323, 7151, 6333, 519, 1739, 5276, 1982, 281, 7665, 476, 275, 343, 476, 272, 1341, 274, 343, 476, 273, 13595, 547, 281, 476, 273, 343, 476, 272, 1341, 274, 343, 476, 273, 476, 277, 630, 272, 264, 476, 274, 343, 476, 272, 1341, 273, 343, 476, 273, 476, 274, 630, 273, 264, 476, 273, 343, 476, 273, 476, 276, 630, 274, 264, 476, 273, 343, 476, 272, 1341, 343, 476, 273, 476, 275, 630, 275, 264, 1535, 476, 272, 267, 1535, 476, 273, 692, 2162, 512, 28701, 3193, 24556, 3852, 377, 1641, 547, 3852, 377, 2715, 271, 267, 272, 267, 273, 28011, 348, 543, 535, 3287, 524, 1341, 24556, 3852, 377, 546, 264, 535, 3287, 524, 3738, 266, 322, 24556, 3852, 377, 535, 630, 343, 524, 6902, 323, 6393, 272, 269, 7412, 9612, 10613, 2913, 535, 2433, 681, 562, 681, 581, 2016, 543, 15475, 602, 1535, 524, 568, 938, 1699, 1655, 7447, 540, 513, 3070, 547, 623, 1295, 1535, 681, 562, 325, 3287, 1040, 589, 3044, 1505, 585, 5355, 519, 7447, 1535, 524, 568, 547, 3442, 513, 4287, 692, 2162, 12430, 14691, 594, 692, 30791, 14691, 594, 5437, 476, 1789, 267, 476, 1220, 274, 476, 272, 4985, 769, 519, 966, 10135, 17320, 12584, 14672, 13086, 23038, 14672, 777, 9469, 23995, 541, 10617, 24579, 13940, 832, 270, 8117, 614, 8276, 823, 1966, 267, 519, 1649, 5271, 565, 550, 9598, 1807, 267, 8262, 639, 28522, 340, 19434, 267, 540, 5045, 19778, 32463, 692, 2162, 28960, 3041, 16249, 308, 23360, 5723, 6579, 14510, 5508, 589, 7034, 5357, 7473, 5085, 312, 12164, 2316, 26214, 302, 4785, 6730, 590, 5058, 8085, 2752, 667, 8780, 6020, 289, 308, 16739, 692, 18853, 3041, 16249, 308, 23360, 5723, 6579, 14510, 5508, 589, 7034, 5357, 7473, 5085, 312, 12164, 2316, 26214, 302, 4785, 6730, 590, 5058, 8085, 2752, 667, 8780, 6020, 289, 308, 16739, 5254, 14110, 2894, 623, 269, 700, 3201, 4041, 312, 6730, 6730, 3918, 310, 12971, 289, 5085, 17593, 269, 898, 568, 3254, 602, 972, 616, 1100, 5812, 3375, 3652, 585, 519, 8367, 4152, 1966, 692, 2162, 16544, 540, 645, 19616, 3252, 4171, 25262, 1023, 616, 849, 645, 19616, 692, 19187, 2906, 540, 645, 19616, 3252, 4171, 25262, 1023, 616, 849, 645, 19616, 681, 269, 700, 269, 9652, 543, 595, 269, 808, 269, 3026, 4007, 321, 21516, 634, 1292, 1267, 3081, 602, 513, 1875, 24308, 645, 19616, 1922, 4233, 530, 267, 4171, 23483, 568, 849, 538, 645, 19616, 267, 12851, 547, 533, 285, 589, 533, 25467, 692, 2162, 4569, 18891, 320, 6200, 271, 2274, 15816, 326, 826, 2268, 780, 13043, 18891, 320, 6200, 271, 2274, 15816, 326, 826, 2268, 269, 5239, 476, 866, 267, 476, 1001, 271, 4653, 521, 11000, 786, 581, 13991, 547, 2274, 15816, 326, 826, 2268, 267, 513, 5137, 540, 28741, 2274, 15816, 326, 826, 267, 538, 1010, 5098, 267, 835, 540, 519, 1034, 4583, 519, 4513, 538, 519, 1686, 540, 6128, 269, 0, 258, 23642, 6706, 267, 12672, 537, 25651, 267, 12166, 543, 7313, 24480, 4351, 4632, 692, 2971, 23642, 6706, 4351, 4756, 692, 289, 30796, 4351, 4756, 568, 513, 1808, 1826, 540, 15768, 4351, 4756, 269, 898, 12523, 875, 1419, 513, 1880, 2680, 4386 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 707, 12853, 513, 11344, 16657, 267, 21185, 4754, 4414, 22110, 666, 581, 1031, 547, 2285, 707, 12853, 513, 15839, 2699, 2681, 267, 543, 620, 325, 2788, 320, 666, 581, 1031, 547, 2285, 707, 12853, 513, 3039, 2681, 563, 5327, 790, 4432, 1047, 16974, 9664, 267, 476, 1708, 272, 268, 6860, 268, 5400, 476, 1556, 281, 2764, 281, 2918, 269, 1306, 1453, 1332, 4587, 789, 786, 1376, 6679, 909, 543, 6158, 811, 607, 596, 2681, 609, 873, 269, 14268, 945, 1175, 1688, 856, 7801, 3817, 585, 3214, 543, 979, 1055, 547, 798, 824, 1919, 616, 7508, 513, 3407, 16345, 4316, 269, 4107, 1453, 786, 1376, 547, 2911, 811, 16175, 2899, 789, 616, 26531, 609, 1945, 547, 2681, 269, 16974, 568, 513, 1390, 942, 547, 2307, 707, 1453, 827, 741, 1554, 610, 547, 3142, 909, 3584, 799, 949, 581, 21898, 532, 873, 855, 789, 616, 11688, 26938, 547, 2911, 827, 693, 824, 2053, 563, 27839, 617, 773, 631, 2946, 20377, 16974, 9664, 267, 476, 1708, 272, 268, 6860, 268, 5400, 476, 1556, 281, 2767, 281, 1704, 269, 4270, 267, 952, 519, 7801, 3817, 543, 2835, 602, 6196, 4658, 1700, 29006, 540, 721, 2250, 519, 2085, 540, 8938, 19317, 1700, 4310, 1394, 538, 519, 2395, 1354, 789, 11827, 4365, 543, 950, 649, 782, 6785, 1018, 513, 15146, 10260, 729, 616, 535, 8172, 856, 540, 2247, 267, 789, 616, 1373, 6450, 1941, 593, 519, 5769, 269, 5753, 779, 7801, 3817, 616, 782, 936, 519, 1747, 2228, 269, 589, 2898, 1007, 10155, 540, 7801, 543, 5373, 814, 1044, 8118, 909, 609, 519, 4417, 540, 519, 5769, 563, 306, 15120, 22828, 6428, 558, 2946, 16974, 9664, 267, 476, 1708, 272, 268, 6860, 268, 1321, 476, 1724, 281, 6872, 281, 1240, 269, 1306, 5018, 5892, 267, 519, 1034, 2442, 2681, 676, 1297, 2835, 2709, 14318, 3197, 607, 1134, 607, 10130, 610, 24781, 2831, 269, 9741, 3283, 2731, 899, 547, 976, 543, 2831, 267, 3976, 267, 1142, 543, 1169, 1126, 786, 899, 4241, 2681, 3817, 602, 1522, 8428, 538, 6988, 269, 589, 2603, 540, 7801, 25258, 723, 476, 273, 268, 275, 15437, 607, 1134, 607, 2338, 267, 693, 519, 1482, 942, 596, 949, 1205, 1950, 3283, 607, 1134, 630, 629, 913, 476, 1015, 15437, 1040, 10435, 946, 540, 2780, 3756, 538, 3450, 2968, 513, 3318, 12191, 2066, 519, 1158, 269, 5047, 267, 18971, 543, 11299, 949, 1118, 946, 540, 2681, 3817, 693, 1753, 547, 1205, 4712, 1453, 585, 1153, 269, 634, 6574, 4324, 689, 713, 1880, 12191, 568, 519, 1249, 602, 8695, 543, 6690, 740, 648, 621, 256, 1411, 949, 1256, 18663, 707, 1453, 676, 3246, 26065, 543, 849, 12587, 585, 8939, 519, 3617, 4778, 563, 297, 657, 576, 14979, 2506, 559, 773, 16974, 9664, 267, 476, 1708, 272, 268, 6860, 268, 5400, 476, 1556, 281, 4029, 281, 4649, 269, 1306, 5018, 5892, 267, 519, 1034, 2442, 2681, 676, 1297, 2835, 2709, 14318, 3197, 607, 1134, 607, 10130, 610, 24781, 2831, 269, 9741, 3283, 2731, 899, 547, 976, 543, 2831, 267, 3976, 267, 1142, 543, 1169, 1126, 786, 899, 4241, 2681, 3817, 602, 1522, 8428, 538, 6988, 269, 589, 2603, 540, 7801, 25258, 723, 476, 273, 268, 275, 15437, 607, 1134, 607, 2338, 267, 693, 519, 1482, 942, 596, 949, 1205, 1950, 3283, 607, 1134, 630, 629, 913, 476, 1015, 15437, 1040, 10435, 946, 540, 2780, 3756, 538, 3450, 2968, 513, 3318, 12191, 2066, 519, 1158, 269, 5047, 267, 18971, 543, 11299, 949, 1118, 946, 540, 2681, 3817, 693, 1753, 547, 1205, 4712, 1453, 585, 1153, 269, 634, 6574, 4324, 689, 713, 1880, 12191, 568, 519, 1249, 602, 8695, 543, 6690, 740, 648, 621, 256, 1411, 949, 1256, 18663, 707, 1453, 676, 3246, 26065, 543, 849, 12587, 585, 8939, 519, 3617, 4778, 563, 12179, 1543, 267, 22028, 4882, 267, 610, 824, 1570, 602, 1522, 581, 1336, 593, 713, 3135, 602, 568, 711, 713, 3135, 3959, 3788, 519, 10677, 540, 922, 9757, 8227, 4882, 269, 769, 1100, 1259, 1281, 10871, 295, 739, 3409, 9562, 610, 5539, 585, 971, 3688, 543, 596, 1058, 3343, 3656, 9844, 585, 1022, 946, 540, 971, 2326, 689, 922, 8227, 269, 0, 4415, 519, 1646, 540, 5907, 2029, 543, 2780, 2029, 267, 11050, 11183, 540, 2472, 568, 4922, 1031, 538, 782, 15211, 540, 1272, 543, 15222, 748, 6482, 676, 1797, 540, 513, 2780, 1062, 269, 23883, 585, 1507, 6709, 656, 640, 11050, 11183, 267, 621, 568, 2838, 602, 519, 6482, 6111, 568, 1164, 267, 543, 519, 1655, 7229, 1871, 540, 519, 11183, 568, 2673, 547, 610, 5594, 3677, 982, 519, 23363, 1871, 607, 519, 3977, 540, 519, 1570, 269, 634, 6671, 11050, 11183, 4336, 568, 513, 2582, 4336, 267, 799, 666, 18923, 9260, 11050, 569, 585, 13557, 2326, 609, 7833, 543, 1507, 5536, 267, 855, 519, 16595, 11183, 3432, 568, 476, 1428, 9625, 476, 1789, 11435, 1315, 1295, 267, 855, 585, 4006, 18695, 267, 12015, 5613, 267, 12277, 1403, 519, 19514, 3688, 971, 607, 14342, 616, 26693, 609, 513, 2582, 4336, 267, 621, 568, 2352, 547, 2743, 519, 2504, 4170, 7488, 540, 20604, 6111, 543, 3432, 269, 8950, 4999, 10253, 1759, 593, 5916, 20604, 2029, 666, 3927, 2087, 519, 6482, 6111, 543, 3432, 267, 543, 4194, 519, 1966, 540, 6482, 543, 11183, 540, 19514, 3688, 269, 634, 2780, 4999, 3296, 568, 5258, 676, 519, 1297, 540, 5577, 704, 9843, 269, 1703, 616, 476, 279, 267, 476, 1015, 267, 476, 1691, 267, 476, 1626, 267, 476, 736, 267, 476, 2190, 267, 476, 2764, 9843, 267, 476, 1015, 543, 476, 1691, 9843, 616, 811, 4122, 1031, 269, 3962, 2212, 2356, 2882, 513, 17280, 5577, 704, 543, 513, 20604, 5577, 704, 267, 519, 5577, 704, 4390, 568, 476, 4968, 6447, 267, 519, 5934, 4336, 568, 13008, 476, 271, 269, 272, 326, 267, 519, 16595, 20604, 3432, 568, 476, 12573, 11435, 1315, 1295, 267, 543, 519, 2780, 4999, 4336, 568, 606, 10995, 4999, 11050, 13128, 11183, 538, 519, 20604, 2872, 1284, 662, 532, 7405, 267, 5916, 20604, 2029, 786, 1020, 519, 2241, 20604, 540, 3688, 547, 4188, 519, 2597, 540, 2472, 267, 2743, 519, 2115, 540, 2527, 2504, 267, 4228, 519, 20604, 1599, 543, 3498, 2039, 267, 543, 1039, 1007, 1543, 547, 519, 1523, 540, 20604, 563, 272, 269, 11554, 6240, 540, 4999, 649, 27941, 454, 763, 1570, 8813, 883, 519, 3444, 24408, 1154, 19943, 540, 519, 4999, 4336, 998, 519, 11876, 626, 267, 543, 5854, 919, 998, 519, 1292, 28680, 267, 865, 602, 519, 1570, 568, 14961, 7856, 593, 519, 598, 673, 1187, 6773, 547, 519, 5276, 28680, 26745, 269, 1879, 972, 568, 1100, 1570, 538, 519, 3444, 24408, 1154, 19943, 610, 519, 1570, 568, 711, 2614, 267, 621, 786, 581, 9571, 676, 519, 8880, 2584, 29090, 18785, 267, 543, 513, 5365, 568, 2366, 547, 519, 1292, 4604, 267, 543, 1287, 513, 3049, 5365, 568, 2366, 547, 519, 23740, 998, 519, 1292, 4604, 547, 3049, 519, 1570, 269, 634, 19089, 3684, 942, 15920, 519, 1587, 547, 1142, 17280, 5577, 704, 269, 3973, 519, 6117, 3937, 267, 602, 568, 267, 519, 2848, 3899, 5179, 1568, 267, 543, 519, 17280, 5577, 704, 568, 8118, 547, 6494, 519, 1570, 883, 519, 20604, 5577, 704, 563, 1103, 519, 20604, 5577, 704, 267, 519, 1587, 12958, 513, 2597, 5365, 998, 519, 9300, 267, 543, 1287, 18993, 1080, 621, 547, 519, 1292, 4604, 540, 519, 1852, 3926, 998, 519, 1291, 269, 634, 17765, 593, 519, 1292, 4604, 14509, 543, 5638, 519, 2597, 540, 1142, 20604, 5577, 704, 267, 543, 1287, 2824, 338, 621, 998, 9819, 267, 2079, 543, 4999, 634, 4999, 20604, 5577, 704, 14191, 547, 519, 3077, 2597, 15920, 513, 4971, 547, 1376, 519, 9920, 547, 1930, 519, 10655, 5577, 704, 547, 11166, 519, 1587, 547, 519, 11183, 3684, 950, 519, 17765, 11392, 519, 11166, 10479, 5365, 689, 519, 11183, 3684, 267, 543, 15920, 513, 11183, 5365, 547, 519, 11183, 3684, 563, 763, 8023, 1184, 3622, 5205, 513, 3339, 3892, 269, 4014, 519, 24980, 568, 1804, 267, 952, 972, 616, 2614, 10659, 267, 2789, 4559, 666, 581, 5916, 547, 3489, 513, 1164, 1790, 13440, 1707, 2898, 269, 634, 1267, 540, 519, 8023, 568, 5916, 676, 20604, 543, 9819, 269, 901, 568, 9247, 1114, 689, 2757, 6482, 2409, 269, 4635, 713, 1164, 24289, 2324, 6240, 267, 621, 666, 581, 1732, 982, 519, 3432, 543, 6111, 540, 8723, 13128, 11050, 3457, 269, 5047, 267, 711, 1152, 666, 12150, 13999, 581, 6027, 267, 855, 782, 2095, 762, 2326, 666, 581, 3067, 1881, 1210, 513, 2780, 4999, 4336, 563, 1103, 2489, 2582, 268, 3650, 10253, 267, 950, 519, 3077, 2597, 568, 827, 547, 3914, 267, 538, 1931, 547, 2327, 6111, 267, 519, 8023, 3432, 3112, 581, 1932, 3728, 267, 543, 519, 2780, 4999, 4336, 666, 3533, 3049, 267, 519, 8023, 2179, 540, 1142, 5577, 704, 568, 2356, 1305, 547, 476, 272, 270, 274, 547, 476, 272, 1315, 540, 519, 3077, 2597, 476, 276, 269, 1879, 519, 4999, 4336, 568, 1031, 585, 4999, 9819, 267, 1152, 851, 540, 519, 4999, 568, 1031, 269, 634, 2780, 666, 5173, 519, 1297, 540, 10659, 2687, 547, 519, 1297, 540, 9843, 10283, 538, 519, 4999, 281, 562, 815, 595, 574, 815, 631, 1315, 594, 630, 11085, 1070, 1141, 281, 631, 568, 519, 2597, 540, 519, 20604, 5577, 704, 634, 2698, 1297, 267, 594, 568, 519, 1297, 540, 11369, 1115, 10283, 538, 519, 4999, 269, 13575, 267, 950, 631, 543, 594, 2333, 543, 519, 1297, 540, 2009, 10659, 4679, 267, 519, 7872, 540, 13844, 11727, 2472, 568, 3152, 269, 1717, 267, 4352, 519, 5106, 3432, 540, 519, 2890, 26367, 568, 1360, 3728, 267, 1932, 1082, 10659, 786, 1291, 547, 513, 5786, 538, 11183, 3432, 543, 2333, 3790, 3245, 519, 5133, 540, 7787, 640, 543, 4346, 267, 631, 2356, 3217, 476, 279, 547, 476, 1626, 267, 1247, 594, 3622, 3217, 476, 274, 547, 476, 276, 563, 273, 7868, 5916, 20604, 1852, 1062, 454, 2691, 519, 4999, 4336, 568, 2324, 267, 621, 1590, 723, 513, 4390, 540, 811, 982, 476, 3583, 24502, 1315, 1295, 630, 272, 3640, 1315, 521, 1070, 602, 568, 267, 621, 1590, 2347, 2597, 7020, 267, 4999, 9819, 267, 1265, 519, 1655, 4999, 267, 3092, 269, 693, 2547, 1369, 476, 272, 338, 267, 865, 607, 547, 2347, 513, 11183, 267, 1519, 4999, 9819, 4039, 8271, 811, 942, 21791, 267, 1164, 26024, 2582, 7302, 760, 2890, 26367, 610, 623, 9448, 267, 666, 2047, 2347, 519, 7020, 267, 9819, 267, 1852, 3977, 267, 799, 666, 711, 1152, 2743, 519, 8856, 4170, 540, 519, 4999, 4336, 1483, 6066, 1852, 267, 855, 849, 2743, 519, 11183, 3432, 4170, 267, 568, 513, 811, 2500, 1852, 1505, 269, 1879, 519, 1852, 1062, 568, 2324, 267, 513, 2582, 7302, 760, 610, 623, 9448, 15920, 513, 5365, 547, 519, 3818, 17574, 6467, 267, 942, 6879, 2130, 2824, 338, 476, 1015, 20604, 8596, 267, 519, 5365, 568, 28659, 267, 589, 1315, 667, 10736, 267, 543, 3403, 547, 519, 2582, 7302, 760, 610, 623, 9448, 267, 543, 519, 476, 1015, 3403, 2418, 616, 5916, 12433, 519, 1297, 540, 513, 1895, 540, 20604, 5577, 11825, 1141, 519, 1655, 4999, 568, 4092, 267, 543, 1852, 519, 3432, 543, 4287, 540, 519, 7222, 2848, 3899, 5179, 2687, 547, 519, 1297, 547, 1930, 519, 1570, 7450, 540, 519, 1895, 267, 2347, 519, 11166, 267, 543, 1287, 2673, 519, 1570, 7450, 282, 519, 1570, 1377, 538, 519, 4859, 5577, 704, 568, 5462, 676, 7353, 29090, 7020, 6467, 7020, 269, 769, 1840, 267, 519, 1062, 814, 849, 2966, 4159, 267, 15372, 543, 13691, 11387, 547, 1118, 519, 1062, 811, 2347, 563, 23382, 1588, 20604, 2029, 609, 922, 1164, 8856, 543, 1164, 3432, 4564, 519, 5207, 1377, 543, 1646, 4287, 540, 2221, 781, 20604, 2029, 269, 769, 519, 2250, 267, 3624, 5631, 16865, 689, 824, 2197, 269, 5221, 540, 922, 1164, 3902, 267, 621, 814, 12042, 1229, 519, 7839, 3498, 543, 8560, 540, 2780, 4999, 10253, 269, 2060, 519, 4028, 1646, 540, 3624, 781, 20161, 11183, 538, 519, 4287, 540, 1164, 3432, 543, 1164, 6111, 267, 2780, 4999, 10253, 786, 3533, 4283, 3624, 781, 20161, 4393, 543, 11183, 2872, 269, 898, 666, 581, 1767, 602, 519, 1646, 540, 519, 11183, 2872, 814, 15469, 519, 1646, 540, 20604, 2029, 269, 2311, 519, 1482, 942, 267, 20604, 2029, 814, 849, 4824, 519, 1377, 540, 11183, 543, 15469, 519, 1646, 540, 519, 11183, 2872, 563, 4263, 1459, 267, 972, 616, 5631, 1079, 2010, 540, 4999, 4336, 3937, 693, 1753, 543, 13383, 281, 519, 1101, 1826, 540, 12746, 5365, 4999, 649 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3287, 2187, 14851, 1535, 2525, 476, 272, 912, 453, 13537, 3488, 332, 1993, 334, 5073, 453, 19197, 1535, 2525, 476, 273, 912, 453, 13537, 3488, 332, 1993, 334, 476, 273, 5073, 453, 19197, 1535, 2652, 476, 274, 912, 453, 13537, 3488, 332, 1993, 334, 476, 274, 5073, 28432, 912, 453, 13537, 3488, 9767, 516, 513, 561, 3511, 267, 707, 3158, 568, 513, 554, 4141, 5073, 9767, 8548, 558, 284, 30775, 3287, 9239, 339, 787, 912, 453, 11133, 272, 284, 276, 3607, 274, 454, 453, 11133, 273, 284, 271, 454, 13537, 16325, 272, 270, 11133, 273, 994, 13537, 3488, 323, 821, 10807, 4848, 454, 21955, 912, 13537, 3488, 331, 913, 707, 5707, 2906, 5073, 28768, 339, 787, 912, 13537, 3488, 15916, 5073, 13537, 263, 272, 270, 271, 994, 21955, 20023, 19667, 1707, 13286, 912, 13537, 3488, 291, 22866, 676, 4642, 18438, 256, 5073, 28768, 325, 3373, 912, 13537, 3488, 1467, 476, 4097, 17210, 2745, 3488, 571, 1047, 9074, 281, 5073, 11133, 815, 3403, 3488, 6358, 1297, 281, 5073, 604, 10581, 16325, 264, 283, 476, 271, 912, 453, 571, 1047, 28759, 2891, 27078, 894, 15419, 258, 6011, 519, 535, 3089, 1281, 513, 6318, 960, 286, 888, 258, 329, 330, 1775, 1589, 1775, 23125, 621, 856, 692, 258, 10112, 1068, 542, 1862, 23501, 1747, 891, 693, 519, 1376, 540, 513, 1599, 3097, 258, 1729, 2638, 585, 4570, 3403, 267, 543, 1310, 519, 1599, 1289, 547, 1750, 330, 585, 4570, 3977, 692, 2745, 3488, 10112, 1068, 542, 9074, 281, 5073, 258, 7726, 281, 1548, 568, 519, 5207, 1297, 602, 568, 10268, 11631, 888, 2745, 263, 271, 994, 16386, 834, 327, 257, 256, 284, 834, 342, 4840, 2745, 263, 272, 9239, 343, 284, 6358, 2891, 1432, 568, 1535, 286, 281, 5602, 3698, 1250, 6958, 15635, 3287, 2187, 453, 16386, 1535, 285, 271, 267, 834, 13286, 30882, 2745, 3287, 994, 3240, 6958, 15635, 3287, 9239, 2745, 2891, 1692, 547, 1930, 513, 3758, 281, 15419, 2745, 3488, 3240, 12803, 284, 13449, 2891, 16344, 17575, 17902, 8442, 5073, 2745, 3488, 3240, 12803, 284, 13449, 2891, 16344, 17575, 17902, 14824, 342, 8442, 476, 568, 547, 1930, 519, 3758, 547, 1224, 5073, 2745, 3488, 3240, 12803, 284, 13449, 2891, 16344, 17575, 17902, 14824, 342, 8442, 476, 568, 547, 1930, 519, 3758, 547, 2328, 5073, 2745, 3488, 3240, 12803, 284, 13449, 2891, 16344, 17575, 17902, 14824, 320, 8442, 476, 568, 547, 1930, 519, 3758, 547, 16289, 5073, 2745, 3488, 3240, 12803, 284, 13449, 2891, 16344, 17575, 17902, 14824, 342, 321, 8442, 476, 568, 547, 1930, 519, 3758, 547, 9352, 7154, 17210, 2745, 3488, 2414, 2673, 513, 3758, 946, 519, 3758, 25379, 3890, 4971, 17210, 2745, 3488, 4186, 284, 12803, 18667, 3890, 786, 1820, 782, 519, 1543, 538, 519, 3758, 5073, 2745, 3488, 604, 596, 1616, 513, 1978, 2179, 540, 25466, 1224, 946, 3758, 18667, 263, 258, 318, 1993, 318, 2421, 5052, 264, 17210, 258, 901, 3009, 11414, 596, 875, 547, 1930, 513, 1257, 3758, 543, 1224, 1142, 1899, 563, 12803, 815, 1930, 2891, 3667, 17902, 2580, 834, 337, 5602, 1721, 1899, 538, 3758, 912, 13537, 263, 1467, 994, 12803, 25379, 30800, 258, 901, 3009, 11414, 596, 5577, 342, 547, 2328, 513, 1899, 883, 513, 1007, 12803, 610, 4540, 835, 454, 12803, 284, 13449, 2891, 2908, 12803, 17902, 14824, 342, 5602, 12803, 22182, 2891, 31435, 596, 21340, 535, 3089, 267, 594, 723, 1175, 3773, 713, 547, 519, 3758, 30314, 5602, 12803, 25379, 10797, 258, 23227, 566, 540, 875, 1603, 543, 2542, 6119, 1376, 547, 960, 1927, 563, 12803, 815, 1930, 2891, 2908, 12803, 17902, 14824, 337, 5602, 2745, 2891, 20091, 3355, 9115, 5602, 2745, 31526, 18667, 15405, 2745, 2891, 19226, 1639, 5602, 12803, 25379, 10797, 12803, 284, 13449, 2891, 2908, 12803, 17902, 14824, 342, 5602, 12803, 22182, 3488, 2908, 3403, 5073, 12803, 25379, 10797, 12803, 815, 1930, 2891, 2908, 12803, 17902, 2580, 834, 337, 5602, 2745, 2891, 20091, 1007, 1543, 5602, 2745, 31526, 18667, 15405, 2745, 2891, 19226, 1639, 2542, 1007, 1543, 5602, 12803, 25379, 10797, 258, 8074, 281, 952, 596, 1930, 513, 3758, 538, 2328, 7154, 519, 9115, 786, 581, 25216, 2483, 258, 3503, 1505, 786, 2132, 519, 1297, 540, 25466, 692, 916, 326, 815, 834, 15916, 2622, 4840, 2745, 263, 916, 326, 994, 12803, 815, 1930, 2891, 2908, 12803, 17902, 2580, 834, 342, 5602, 26920, 16062, 9287, 815, 3758, 22182, 263, 916, 326, 994, 2745, 263, 26920, 16062, 9287, 994, 12803, 25379, 10797, 2745, 12759, 263, 916, 326, 4917, 1012, 1411, 723, 3893, 547, 4137, 856, 1946, 1496, 12803, 22182, 263, 916, 326, 264, 11203, 7003, 630, 916, 326, 264, 6540, 258, 1677, 2057, 27830, 2200, 267, 596, 666, 2673, 6119, 713, 1259, 2439, 258, 339, 787, 912, 258, 453, 325, 284, 13449, 2891, 2908, 12803, 17902, 23528, 258, 13537, 6600, 18667, 15405, 258, 325, 3373, 912, 258, 453, 325, 25379, 10797, 5976, 1930, 2891, 3667, 17902, 8442, 607, 535, 912, 13537, 6600, 18667, 31156, 1012, 1715, 26827, 308, 4041, 21228, 6303, 1693, 13090, 1496, 2859, 9537, 476, 6540, 454, 258, 7078, 540, 7183, 1315, 14275, 3252, 256, 3097, 258, 3698, 930, 6958, 15635, 10031, 258, 13537, 3488, 15916, 6890, 1729, 5073, 258, 12534, 815, 930, 6958, 15635, 4590, 28744, 263, 12534, 994, 258, 16341, 6958, 15635, 10797, 258, 7151, 540, 21594, 454, 1137, 28121, 1412, 291, 1511, 9166, 476, 2190, 267, 1412, 27746, 9166, 476, 1321, 267, 1412, 297, 9655, 9166, 476, 2420, 10926, 2745, 263, 1137, 9131, 27746, 262, 7481, 28768, 2745, 263, 1137, 9131, 291, 1511, 11172, 2020, 258, 6206, 6959, 454, 27146, 776, 284, 13634, 453, 257, 1042, 9899, 314, 14838, 267, 271, 267, 271, 267, 16689, 453, 257, 13582, 257, 2433, 314, 271, 267, 14838, 267, 271, 16689, 453, 257, 19990, 9899, 1496, 271, 267, 271, 267, 14838, 2639, 453, 8679, 28768, 258, 1820, 263, 27146, 776, 14277, 1042, 257, 7481, 258, 1820, 263, 27146, 776, 14277, 344, 3641, 257, 7481, 28768, 258, 1799, 17014, 21594, 2014, 513, 7392, 13286, 282, 713, 4386, 8528, 258, 1317, 596, 723, 547, 5581, 519, 1913, 547, 519, 5022, 780, 21112, 18380, 284, 19127, 258, 567, 1496, 272, 267, 273, 267, 274, 13912, 834, 821, 1079, 1614, 20350, 8679, 258, 1548, 786, 621, 1820, 286, 4888, 306, 281, 476, 1704, 454, 258, 22136, 28121, 476, 272, 281, 273, 267, 476, 273, 281, 274, 2073, 476, 275, 281, 278, 2073, 476, 278, 281, 1704, 8679, 258, 1820, 263, 1440, 1307, 314, 1440, 1307, 314, 275, 14963, 2020, 692, 258, 16515, 1255, 616, 519, 1482, 607, 8638, 855, 616, 1799, 17014, 563, 258, 1799, 17014, 454, 258, 8913, 1255, 666, 581, 521, 2364, 539, 454, 6919, 815, 9497, 4944, 600, 2580, 834, 1122, 7714, 2580, 834, 3832, 3150, 5602, 2745, 1913, 314, 271, 6540, 258, 8347, 532, 547, 3651, 513, 4756, 547, 513, 24042, 786, 2285, 513, 7392, 13286, 912, 258, 12327, 281, 825, 1913, 314, 272, 316, 6889, 817, 257, 567, 3112, 581, 2944, 267, 786, 2014, 5470, 780, 258, 5903, 454, 258, 1592, 17342, 272, 267, 273, 2639, 258, 3097, 258, 9218, 454, 258, 9598, 28121, 272, 281, 257, 821, 2580, 273, 281, 257, 18314, 257, 8679, 258, 3097, 258, 16515, 1255, 454, 258, 24042, 284, 2891, 821, 14824, 18314, 15419, 3240, 4671, 340, 680, 815, 834, 821, 14824, 18314, 14824, 22764, 4840, 2745, 30044, 4671, 340, 680, 314, 271, 20285, 2745, 834, 24105, 8913, 1255, 666, 711, 581, 4957, 267, 476, 855, 616, 5488, 982, 8638, 1210, 1862, 14654, 680, 284, 3890, 5016, 14654, 680, 284, 4590, 2745, 6025, 340, 680, 2020, 258, 5903, 21100, 2807, 1862, 25075, 728, 513, 811, 4359, 1259, 540, 13098, 1324, 2418, 689, 513, 1592, 692, 338, 638, 4100, 284, 1496, 271, 267, 272, 267, 273, 267, 275, 267, 280, 267, 1626, 267, 1839, 267, 3607, 267, 5392, 267, 5038, 267, 10037, 2639, 2745, 4433, 638, 4100, 314, 273, 281, 277, 7481, 2745, 10945, 314, 272, 281, 275, 2639, 2745, 10945, 314, 271, 281, 272, 2639, 258, 10691, 292, 281, 7831, 7857, 568, 711, 10268, 26008, 2439, 2745, 4433, 638, 4100, 11468, 278, 8079, 1948, 2433, 1354, 786, 1820, 3388, 1354, 476, 278, 2483, 2745, 4433, 638, 4100, 314, 278, 281, 8079, 1948, 2433, 1310, 786, 1820, 3388, 1310, 476, 278, 2483, 2745, 4433, 638, 4100, 314, 273, 281, 279, 281, 274, 8079, 1948, 786, 3132, 513, 1900, 2450, 263, 519, 3791, 1297, 994, 2745, 4433, 638, 4100, 11468, 281, 273, 8079, 1948, 4024, 1820, 1169, 476, 273, 2338, 692, 2745, 10945, 314, 272, 15311, 268, 272, 316, 1948, 2942, 666, 581, 1031, 585, 14253, 532, 267, 543, 786, 960, 23651, 2483, 258, 2942, 2418, 538, 519, 1101, 610, 2034, 1297, 1496, 258, 267, 258, 267, 343, 316, 621, 786, 960, 689, 1439, 540, 4737, 563, 692, 258, 1548, 786, 581, 519, 3977, 540, 713, 3009, 11631, 4888, 306, 281, 1496, 272, 267, 1626, 267, 5038, 2639, 2745, 10945, 314, 272, 15311, 275, 2639, 258, 1548, 786, 581, 519, 3977, 540, 713, 3009, 11631, 4888, 306, 281, 1496, 3607, 267, 1839, 2639, 2745, 10945, 314, 278, 281, 276, 18737, 272, 6540, 258, 5903, 2649, 687, 1862, 513, 1259, 547, 3533, 1711, 8638, 4171, 9115, 23491, 513, 4341, 563, 322, 25683, 815, 1496, 328, 1262, 274, 585, 1775, 538, 2039, 263, 276, 22708, 2745, 18695, 692, 258, 272, 269, 476, 1548, 1281, 713, 1592, 798, 11631, 4888, 306, 281, 513, 1592, 540, 1256, 2338, 1063, 476, 271, 543, 476, 1240, 454, 333, 4548, 284, 1496, 328, 265, 273, 585, 1775, 538, 2039, 263, 1015, 22708, 2745, 15358, 692, 258, 666, 849, 1118, 2175, 593, 891, 899, 865, 10756, 5271, 839, 815, 1496, 328, 1262, 273, 585, 1775, 538, 2039, 263, 1015, 264, 952, 1775, 1262, 273, 4939, 476, 273, 2652, 271, 2639, 2745, 859, 839, 454, 258, 10691, 292, 281, 621, 786, 1820, 519, 10945, 602, 723, 1100, 14230, 950, 5258, 676, 1079, 630, 16838, 1948, 262, 338, 2020, 258, 2870, 513, 1804, 1592, 602, 707, 2780, 786, 16154, 786, 1711, 513, 15350, 13286, 563, 258, 12327, 281, 1256, 17342, 273, 265, 328, 585, 1775, 538, 2039, 263, 1015, 1262, 1911, 264, 6540, 258, 21642, 14474, 1154, 32465, 320, 3532, 1259, 547, 7842, 1875, 268, 1598, 902, 1369, 12673, 780, 333, 4548, 815, 1496, 275, 267, 276, 267, 277, 2639, 916, 326, 815, 834, 301, 13246, 2433, 2715, 271, 348, 2715, 272, 348, 2715, 273, 348, 2668, 3898, 25225, 314, 271, 3910, 15358, 314, 272, 3910, 15358, 314, 273, 7481, 2745, 20444, 326, 692, 258, 476, 272, 269, 1548, 568, 519, 2164, 540, 713, 3009, 286, 4888, 306, 281, 705, 2350, 611, 629, 571, 454, 2745, 834, 346, 271, 2410, 272, 2410, 271, 348, 2668, 3898, 9497, 629, 571, 14824, 322, 611, 257, 9239, 320, 284, 834, 346, 343, 348, 2715, 344, 348, 2668, 3898, 3287, 284, 276, 11971, 284, 1321, 994, 2745, 5416, 2020, 258, 744, 7876, 589, 645, 7419, 6224, 5508, 25265, 3198, 9169, 2483, 258, 6443, 268, 26082, 513, 1592, 540, 12673, 609, 513, 1583, 335, 1807, 454, 258, 5372, 268, 30283, 835, 5569, 609, 1776, 454, 258, 1376, 1873, 603, 543, 7475, 5976, 268, 3313, 952, 972, 568, 513, 5569, 568, 513, 10799, 532, 693, 519, 1376, 270, 754, 454, 258, 2539, 270, 21639, 268, 1689, 519, 2013, 540, 519, 5569, 563, 258, 8237, 10768, 7765, 268, 6587, 540, 6443, 267, 7432, 513, 5569, 883, 1079, 12673, 609, 513, 694, 704, 1807, 692, 2745, 263, 2580, 834, 269, 21860, 8443, 257, 4944, 600, 2580, 834, 1122, 7714, 2580, 834, 5069, 19312, 4917, 258, 21646, 834, 4944, 600, 267, 5798, 267, 8423, 5016, 2745, 2891, 15916, 19294, 2668, 516, 2897, 2891, 10933, 2580, 834, 16447, 27363, 258, 21646, 834, 15916, 1158, 5016, 2745, 2891, 1607, 568, 513, 4845, 1701, 269, 11034, 1873, 603, 2891, 1607, 27363, 258, 16493, 834, 12148, 5016, 2745, 2891, 1607, 568, 513, 4845, 1701, 269, 1742, 5976, 2891, 338, 27542, 1701, 4917, 258, 16493, 834, 12148, 5016, 2745, 2891, 1607, 568, 513, 4845, 1701, 269, 21639, 15405, 258, 16493, 834, 8025, 3041, 4959, 589, 590, 7728, 9970, 3010, 2745, 2891, 3198, 20231, 26480, 306, 590, 7728, 9970, 2668, 12294, 15405, 258, 21646, 834, 534, 782, 11503, 4845, 5016, 2745, 2891, 4944, 600, 267, 5798, 267, 8423, 2668, 20889, 263, 2580, 27328, 258, 21646, 834, 9131, 4944, 600, 3299, 1412, 1122, 7714, 3299, 1412, 5069, 11172, 5016, 258, 782, 1022, 543, 26246, 3252, 454, 333, 4548, 815, 1496, 476, 6321, 267, 476, 4097, 267, 476, 277 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 936, 543, 936, 1586, 538, 1250, 1272, 543, 602, 568, 1946, 594, 8011, 734, 28061, 16888, 454, 20132, 11479, 513, 1268, 547, 1732, 5128, 1169, 2582, 942, 269, 1924, 1773, 338, 2285, 621, 1252, 3585, 454, 310, 2632, 2285, 909, 11489, 1775, 5734, 513, 476, 10384, 266, 692, 12421, 454, 16274, 281, 476, 2641, 4455, 476, 1001, 271, 454, 15803, 281, 476, 1321, 454, 27063, 281, 476, 272, 692, 20132, 19560, 476, 273, 1496, 271, 3910, 2016, 281, 476, 273, 692, 3725, 281, 589, 2875, 781, 3328, 630, 541, 10379, 1611, 264, 1449, 6060, 593, 476, 275, 4255, 1109, 28784, 21529, 6540, 2162, 8058, 16193, 692, 2767, 4119, 476, 1001, 273, 267, 476, 1556, 281, 1428, 454, 4433, 636, 540, 1535, 8358, 275, 815, 476, 4281, 454, 3383, 630, 8999, 540, 1535, 264, 815, 476, 24374, 563, 3086, 630, 8999, 540, 1535, 1341, 1535, 276, 8358, 276, 284, 3199, 454, 3383, 630, 24374, 21147, 276, 6661, 6110, 1775, 4318, 269, 1535, 276, 284, 6434, 563, 13043, 16869, 454, 16274, 281, 476, 6349, 9484, 476, 1220, 280, 454, 15803, 281, 476, 4343, 280, 5400, 454, 27063, 281, 476, 6507, 274, 280, 692, 20132, 19560, 476, 11793, 28670, 1496, 271, 3910, 2016, 281, 476, 14138, 1240, 692, 3725, 281, 589, 2875, 781, 3328, 630, 541, 10379, 1611, 264, 1449, 6060, 593, 476, 275, 4255, 1109, 28784, 21529, 6540, 2162, 8058, 16193, 692, 4029, 4119, 476, 1001, 273, 267, 476, 6349, 281, 1556, 454, 306, 5357, 28513, 1384, 288, 2875, 781, 3328, 630, 541, 10379, 1611, 264, 1449, 6060, 593, 476, 275, 4255, 568, 476, 4281, 269, 1548, 1590, 581, 519, 2875, 781, 6060, 593, 513, 476, 276, 628, 1449, 585, 519, 2875, 781, 3328, 6060, 593, 519, 476, 276, 4255, 547, 581, 476, 3199, 2496, 10490, 264, 476, 3199, 454, 16360, 264, 476, 11025, 454, 18154, 264, 476, 10019, 454, 20573, 264, 476, 10436, 454, 27887, 264, 476, 6434, 692, 7712, 519, 2875, 781, 3328, 1449, 6060, 593, 476, 275, 4255, 568, 476, 4281, 267, 1287, 519, 2040, 540, 519, 1101, 476, 275, 1449, 8464, 568, 476, 275, 265, 4281, 284, 24374, 269, 1284, 991, 519, 2040, 540, 20231, 476, 276, 8464, 547, 581, 476, 276, 265, 3199, 284, 6110, 267, 865, 952, 3230, 343, 2330, 568, 519, 476, 276, 628, 1449, 6060, 267, 1287, 3230, 24374, 21147, 284, 6110, 2330, 25341, 3230, 343, 284, 6434, 29634, 6303, 29390, 12421, 454, 16274, 281, 476, 2190, 4455, 476, 1001, 273, 454, 15803, 281, 476, 4366, 454, 27063, 281, 476, 271, 692, 20132, 19560, 476, 2190, 1496, 271, 3910, 2016, 281, 476, 272, 692, 3725, 281, 589, 1053, 3328, 630, 541, 10379, 1611, 264, 1449, 6060, 593, 476, 275, 4255, 1109, 28784, 21529, 6540, 2162, 8058, 16193, 692, 1626, 5463, 476, 1001, 273, 267, 476, 6860, 281, 1704, 454, 9172, 912, 20135, 6060, 1310, 476, 275, 4255, 284, 24374, 543, 6060, 2877, 1310, 476, 276, 4255, 284, 476, 276, 343, 3199, 284, 6110, 519, 2875, 8464, 519, 3017, 538, 519, 476, 276, 628, 1449, 799, 568, 476, 6434, 2073, 630, 292, 1916, 6303, 318, 692, 4178, 6230, 26937, 4577, 25531, 2593, 692, 25938, 1640, 15440, 454, 16274, 281, 476, 2537, 4239, 476, 1001, 271, 454, 15803, 281, 476, 29575, 454, 19613, 281, 29494, 13568, 454, 3519, 1417, 1674, 281, 16010, 454, 18662, 338, 281, 670, 4488, 1412, 1428, 630, 288, 994, 29479, 476, 272, 281, 476, 277, 3445, 1627, 5325, 966, 4343, 454, 27063, 281, 476, 2420, 692, 20132, 19560, 476, 30500, 1496, 271, 3910, 2016, 281, 476, 10463, 692, 3725, 281, 589, 2875, 781, 3328, 630, 541, 10379, 1611, 264, 1449, 6060, 593, 476, 275, 4255, 1109, 28784, 21529, 6540, 2162, 8058, 16193, 692, 866, 9947, 476, 1001, 274, 267, 476, 876, 281, 6321, 454, 263, 3199, 268, 4281, 6661, 273, 454, 273, 265, 276, 339, 3949, 284, 1015, 692, 4281, 266, 1015, 284, 6434, 454, 6303, 318, 692, 31917, 616, 1346, 945, 5326, 9909, 543, 616, 4712, 547, 2628, 519, 3902, 547, 1118, 873, 2097, 3020, 692, 296, 993, 1869, 593, 782, 575, 3901, 15473, 269, 20444, 326, 803, 952, 596, 1616, 547, 2307, 803, 1159, 628, 692, 12421, 454, 16274, 281, 476, 4962, 7325, 476, 1001, 275, 454, 15803, 281, 476, 272, 454, 27063, 281, 476, 271, 692, 20132, 19560, 476, 271, 1496, 271, 3910, 2016, 281, 476, 279, 692, 3725, 281, 589, 2875, 781, 3328, 630, 541, 10379, 1611, 264, 1449, 6060, 593, 476, 275, 4255, 1109, 28784, 21529, 6540, 2162, 8058, 16193, 692, 4962, 7325, 476, 1001, 275, 267, 476, 5400, 281, 6860, 454, 24029, 2748, 5206, 912, 296, 786, 2303, 513, 2370, 1114, 3070, 630, 2254, 513, 1360, 1390, 8945, 264, 855, 1360, 3730, 585, 4466, 25939, 2094, 621, 666, 4688, 707, 834, 2316, 10933, 257, 693, 519, 4255, 2483, 30182, 540, 476, 276, 4255, 547, 581, 476, 3199, 5267, 910, 538, 1142, 1449, 519, 2875, 20639, 476, 3199, 630, 663, 713, 666, 1118, 3328, 476, 3199, 1040, 14298, 20620, 1103, 476, 276, 628, 1449, 519, 2875, 814, 547, 6060, 476, 3199, 585, 2386, 267, 7132, 1022, 17211, 547, 1118, 909, 585, 519, 3328, 269, 1284, 917, 538, 476, 275, 4255, 1010, 19011, 613, 729, 476, 4281, 267, 799, 1797, 646, 568, 476, 273, 1665, 525, 2110, 540, 3328, 263, 3199, 538, 713, 2013, 264, 538, 3105, 476, 275, 4255, 543, 646, 814, 547, 1118, 909, 585, 713, 17211, 538, 519, 476, 276, 628, 1449, 269, 9747, 646, 814, 547, 6060, 476, 273, 2608, 476, 275, 630, 3698, 7228, 2608, 1100, 540, 4255, 264, 815, 476, 279, 269, 5457, 267, 646, 814, 547, 6060, 476, 3199, 849, 538, 519, 476, 276, 628, 1449, 563, 17798, 538, 2698, 910, 476, 3199, 1341, 476, 279, 815, 476, 6434, 269, 14893, 661, 692, 2080, 568, 875, 594, 1131, 1935, 910, 476, 3199, 538, 519, 476, 276, 628, 1449, 267, 543, 476, 273, 2608, 275, 815, 476, 279, 9103, 331, 476, 6434, 562, 519, 476, 276, 628, 4255, 269, 14298, 621, 3576, 1906, 7643, 547, 798, 519, 844, 525, 1862, 4698, 1047, 713, 2186, 540, 4480, 1247, 6061, 2055, 562, 25939, 814, 1044, 1360, 13561, 585, 544, 1862, 2353, 519, 1655, 256, 2439, 12552, 21325, 2748, 907, 594, 2141, 4553, 2757, 1935, 907, 1631, 1775, 1131, 2119, 707, 1259, 950, 11402, 609, 2243, 593, 25939, 454, 10048, 4526, 454, 16274, 281, 476, 5881, 4455, 476, 1001, 275, 454, 15803, 281, 476, 15221, 454, 27063, 281, 476, 272, 692, 20132, 19560, 476, 2190, 1496, 271, 3910, 2016, 281, 476, 10037, 692, 3725, 281, 589, 2875, 781, 3328, 630, 541, 10379, 1611, 264, 1449, 6060, 593, 476, 275, 4255, 1109, 28784, 21529, 6540, 2162, 8058, 16193, 692, 1015, 9484, 476, 1001, 275, 267, 476, 6734, 281, 4375, 454, 289, 684, 3241, 5206, 912, 288, 2875, 781, 3328, 630, 541, 10379, 1611, 264, 1449, 6060, 593, 476, 275, 4255, 568, 476, 4281, 269, 1548, 1590, 581, 519, 2875, 781, 6060, 593, 513, 476, 276, 628, 1449, 585, 519, 2875, 781, 3328, 6060, 593, 519, 476, 276, 4255, 547, 581, 476, 3199, 2496, 10490, 264, 476, 3199, 454, 16360, 264, 476, 11025, 454, 18154, 264, 476, 10019, 454, 20573, 264, 476, 10436, 454, 27887, 264, 476, 6434, 692, 20797, 5999, 454, 9223, 281, 476, 1789, 454, 17273, 281, 476, 14444, 454, 11795, 22187, 281, 476, 7785, 692, 20135, 540, 476, 275, 1449, 815, 476, 275, 265, 4281, 815, 476, 24374, 454, 604, 519, 1611, 540, 476, 276, 1449, 814, 547, 581, 476, 3199, 1287, 2698, 814, 547, 581, 476, 6110, 780, 6110, 268, 24374, 284, 6434, 780, 810, 538, 519, 11359, 1449, 519, 6060, 1058, 581, 476, 6434, 585, 519, 1611, 547, 1831, 476, 3199, 454, 12421, 454, 16274, 281, 476, 6187, 8734, 476, 1001, 275, 454, 15803, 281, 476, 1724, 454, 27063, 281, 476, 271, 692, 20132, 19560, 476, 272, 1496, 271, 3910, 2016, 281, 476, 271, 692, 3725, 281, 589, 2875, 781, 3328, 630, 541, 10379, 1611, 264, 1449, 6060, 593, 476, 275, 4255, 1109, 28784, 21529, 6540, 2162, 8058, 16193, 692, 1626, 8734, 476, 1001, 275, 267, 476, 5400, 281, 2412, 454, 263, 275, 265, 4281, 21147, 8358, 276, 284, 3199, 454, 343, 14352, 276, 265, 3199, 9984, 263, 275, 265, 4281, 264, 21453, 865, 476, 276, 265, 4281, 268, 275, 265, 4281, 284, 476, 4281, 2676, 343, 284, 476, 276, 16732, 3199, 268, 4281, 264, 1341, 476, 4281, 25341, 476, 276, 265, 273, 266, 4281, 454, 20135, 6060, 2838, 476, 4281, 266, 1015, 284, 6434, 454, 25938, 1640, 15440, 454, 16274, 281, 476, 2537, 9484, 476, 1001, 276, 454, 15803, 281, 476, 29710, 454, 19613, 281, 5333, 454, 29479, 476, 272, 281, 476, 277, 3445, 1627, 5325, 966, 4343, 454, 29479, 476, 273, 281, 476, 10384, 1627, 4366, 966, 4343, 454, 25446, 281, 7464, 24529, 630, 300, 583, 783, 8750, 338, 543, 7935, 12027, 720, 994, 27063, 281, 476, 274, 692, 20132, 19560, 476, 7597, 1496, 271, 3910, 2016, 281, 476, 7761, 692, 3725, 281, 589, 2875, 781, 3328, 630, 541, 10379, 1611, 264, 1449, 6060, 593, 476, 275, 4255, 1109, 28784, 21529, 6540, 2162, 8058, 16193, 692, 2537, 8734, 476, 1001, 276, 267, 476, 1556, 281, 7906, 454, 21446, 894, 1935, 2433, 630, 6124, 1239, 910, 6196, 1285, 326, 8358, 6124, 1297, 540, 3688, 538, 519, 1305, 815, 1689, 538, 3328, 454, 263, 6124, 910, 476, 4281, 264, 1315, 276, 815, 476, 273, 454, 6124, 815, 476, 6434, 454, 6303, 318, 692, 6124, 13335, 3004, 14982, 2433, 9337, 707, 1153, 12632, 14678, 2439, 307, 13759, 4530, 16721, 11724, 894, 454, 288, 742, 8270, 725, 281, 27010, 4530, 16721, 454, 16274, 281, 476, 6860, 3057, 476, 1001, 272, 454, 15803, 281, 476, 280, 1240, 454, 27063, 281, 476, 4097, 692, 20132, 19560, 476, 276, 1691, 1496, 271, 3910, 2016, 281, 476, 276, 692, 3725, 281, 589, 2875, 781, 3328, 630, 541, 10379, 1611, 264, 1449, 6060, 593, 476, 275, 4255, 1109, 28784, 21529, 6540, 2162, 8058, 16193, 692, 1839, 2904, 476, 1001, 277, 267, 476, 5881, 281, 1240, 454, 289, 684, 3241, 5206, 912, 288, 2875, 781, 3328, 630, 541, 10379, 1611, 264, 1449, 6060, 593, 476, 275, 4255, 568, 476, 4281, 269, 1548, 1590, 581, 519, 2875, 781, 6060, 593, 513, 476, 276, 628, 1449, 585, 519, 2875, 781, 3328, 6060, 593, 519, 476, 276, 4255, 547, 581, 476, 3199, 2496, 10490, 264, 476, 3199, 454, 16360, 264, 476, 11025, 454, 18154, 264, 476, 10019, 454, 20573, 264, 476, 10436, 454, 27887, 264, 476, 6434, 692, 2414, 4194, 267, 649, 946, 519, 3328, 3830, 1384, 320, 2071, 815, 2040, 270, 31642, 640, 692, 2171, 1810, 1405, 917, 519, 1367, 8464, 585, 1142, 540, 519, 1101, 476, 275, 4255, 267, 855, 1317, 741, 3328, 568, 476, 4281, 267, 649, 666, 1589, 540, 519, 1101, 476, 275, 8464, 607, 476, 275, 8464, 540, 476, 4281, 1142, 269, 1284, 1287, 9062, 476, 4281, 676, 476, 275, 547, 1205, 519, 2040, 540, 1346, 2185, 4255, 1384, 4281, 1535, 476, 275, 815, 476, 24374, 692, 4131, 781, 1577, 562, 815, 519, 6060, 593, 519, 476, 276, 628, 1449, 269, 4935, 267, 519, 2040, 540, 519, 476, 276, 4255, 568, 476, 24374, 1341, 476, 276, 628, 1449, 6060, 267, 610, 476, 24374, 1341, 562, 269, 4746, 267, 1317, 519, 1007, 3328, 786, 581, 476, 3199, 267, 649, 12990, 476, 3199, 585, 519, 1007, 3328, 269, 1284, 666, 1631, 4194, 585, 562, 780, 30182, 815, 2040, 270, 31642, 640, 692, 3199, 815, 630, 24374, 1341, 562, 8358, 276, 692, 6110, 815, 476, 24374, 1341, 562, 692, 6434, 815, 562, 692, 6303, 318, 692, 297, 27889, 2044, 16019, 692, 29479, 10829, 8682, 268, 19138, 6092, 454, 4335, 266, 4245, 476, 4968, 271, 266, 2259, 2042, 476, 8517, 266, 18074, 3435, 692, 17445, 528, 454, 16274, 281, 476, 1240, 4239, 476, 1001, 275, 454, 15803, 281, 476, 3445, 279, 454, 19613, 281, 2136, 2276, 454, 29479, 476, 272, 281, 476, 32133, 1627, 5392, 966, 4029, 454, 294, 5183, 281, 476, 274, 269, 7176, 454, 27063, 281, 476, 7176, 692, 20132, 19560, 476, 4968, 1496, 271, 3910, 2016, 281, 476, 7597, 692, 3725, 281, 589, 2875, 781, 3328, 630, 541, 10379, 1611, 264, 1449, 6060, 593, 476, 275, 4255, 1109, 28784, 21529, 6540, 2162, 8058, 16193, 692, 1839, 2904, 476, 1001, 277, 267, 476, 5400, 281, 5379, 454, 289, 684, 3241, 5206, 912, 288, 2875, 781, 3328, 630, 541 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]